WO2021134315A1 - Motor nonlinear distortion compensation method and apparatus, and computer-readable storage medium - Google Patents

Motor nonlinear distortion compensation method and apparatus, and computer-readable storage medium Download PDF

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WO2021134315A1
WO2021134315A1 PCT/CN2019/130144 CN2019130144W WO2021134315A1 WO 2021134315 A1 WO2021134315 A1 WO 2021134315A1 CN 2019130144 W CN2019130144 W CN 2019130144W WO 2021134315 A1 WO2021134315 A1 WO 2021134315A1
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motor
nonlinear
signal
order
nonlinear distortion
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PCT/CN2019/130144
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French (fr)
Chinese (zh)
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向征
郭璇
李涛
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瑞声声学科技(深圳)有限公司
瑞声科技(新加坡)有限公司
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Priority to PCT/CN2019/130144 priority Critical patent/WO2021134315A1/en
Publication of WO2021134315A1 publication Critical patent/WO2021134315A1/en

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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/34Testing dynamo-electric machines
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03FAMPLIFIERS
    • H03F1/00Details of amplifiers with only discharge tubes, only semiconductor devices or only unspecified devices as amplifying elements
    • H03F1/32Modifications of amplifiers to reduce non-linear distortion
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M1/00Analogue/digital conversion; Digital/analogue conversion
    • H03M1/06Continuously compensating for, or preventing, undesired influence of physical parameters

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  • the present invention relates to the technical field of nonlinear distortion compensation, and more specifically, to a method and device for compensating nonlinear distortion of a motor, and a computer-readable storage medium.
  • Linear resonant exciters are becoming more and more popular in the fields of smart phones, smart watches, and tablet computers.
  • LRA Linear resonant exciters
  • the conventional method is to perform nonlinear modeling on the parameters of the motor, and then compensate according to the nonlinearity of the parameters. This method needs to accurately measure the nonlinearity of the parameters, otherwise the compensation effect will not be good.
  • the present invention provides a method and device for compensating nonlinear distortion of a motor and a computer-readable storage medium, which can solve the problem that the nonlinearity of a parameter needs to be accurately measured in the prior art and the compensation effect is not good.
  • the present invention provides a method for compensating nonlinear distortion of a motor, including:
  • the motor system is excited by the logarithmic sweep signal x(n), and the acceleration signal y(n) of the motor system is collected by the accelerometer, where n is a positive integer;
  • the motor system is excited by the logarithmic sweep signal x(n), and the acceleration signal y(n) of the motor system is collected by the accelerometer includes:
  • the kernel function of the nonlinear system model is identified to obtain y(n), where y(n) satisfies the following formula:
  • h p is the p-th order kernel function of the nonlinear system model
  • M p is the filter length of the p-th order kernel function
  • i represents the point coordinates of the discrete domain kernel function
  • i is the value range of 0 ⁇ M
  • p -1 the sampling point of the kernel function
  • p is a positive integer
  • x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
  • obtaining the inverse filtered signal q(n) through the logarithmic sweep signal x(n) and the acceleration signal y(n) includes:
  • q 1 (n) only includes first-order components
  • q 2 (n) only includes second-order components
  • q p (n) includes only p-order components.
  • the elimination of the second to pth harmonic distortion of the m-th order component in the inverse filtered signal q(n) to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders includes:
  • [] m indicates that only m-order harmonic distortion is retained, and m is a natural number.
  • the Volterra filter is a one-dimensional Volterra filter.
  • a motor nonlinear distortion compensation device which includes an excitation and acquisition module, an inverse filtering module, and a harmonic filtering module:
  • the excitation and collection module is used to excite the motor system through the logarithmic sweep signal x(n), and collect the acceleration signal y(n) of the motor system through the accelerometer, where n is a positive integer;
  • the inverse filter module is configured to obtain the inverse filter signal q(n) through the logarithmic sweep signal x(n) and the acceleration signal y(n);
  • the harmonic elimination module is used to eliminate the second to pth harmonic distortion of the m-th order component in the inverse filtered signal q(n) to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders , Where 2 ⁇ m ⁇ p.
  • model building module it also includes a model building module
  • the model establishment module is used to establish the nonlinear system model of the Volterra filter, and the logarithmic sweep signal x(n) is used as the input of the nonlinear system model, and the vibration acceleration y(n) is used as the nonlinear system model.
  • the excitation and acquisition module is also used to identify the kernel function of the nonlinear system model to obtain y(n), where y(n) satisfies the following formula:
  • h p is the p-th order kernel function of the nonlinear system model
  • M p is the filter length of the p-th order kernel function
  • i represents the point coordinates of the discrete domain kernel function
  • i is the value range of 0 ⁇ M
  • p -1 the sampling point of the kernel function
  • p is a positive integer
  • x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
  • q 1 (n) only includes first-order components
  • q 2 (n) only includes second-order components
  • q p (n) includes only p-order components.
  • [] m indicates that only m-order harmonic distortion is retained, and m is a natural number.
  • a computer-readable storage medium is provided, and a plurality of instructions are stored in the storage medium, and the instructions are suitable for being loaded by a processor to execute a motor as described above.
  • Non-linear distortion compensation method is provided.
  • FIG. 1 is a schematic flowchart of a method for compensating nonlinear distortion of a motor according to an embodiment of the present invention
  • FIG. 2 is a schematic flowchart of a method for compensating nonlinear distortion of a motor according to another embodiment of the present invention
  • Figure 3 is a schematic diagram of the compensation effect of the linear compensation filter on the nonlinear distortion of the single-frequency signal
  • FIG. 4 is a schematic diagram of the compensation effect of the second-order compensation filter on the nonlinear distortion of the single-frequency signal provided by the embodiment of the present invention.
  • FIG. 5 is a schematic diagram of the compensation effect of a third-order compensation filter provided by an embodiment of the present invention on the nonlinear distortion of a single-frequency signal;
  • FIG. 6 is a schematic diagram of the compensation effect of the fourth-order compensation filter on the nonlinear distortion of the single-frequency signal provided by the embodiment of the present invention.
  • FIG. 7 is a schematic diagram of the compensation effect of the fifth-order compensation filter on the nonlinear distortion of the single-frequency signal provided by the embodiment of the present invention.
  • FIG. 8 is a schematic diagram of the suppression effect of total harmonic distortion provided by an embodiment of the present invention.
  • FIG. 9 is a block diagram of a motor nonlinear distortion compensation device provided by an embodiment of the present invention.
  • Fig. 10 is a schematic diagram of a terminal device provided by an embodiment of the present invention.
  • first and second are only used for descriptive purposes, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of indicated technical features.
  • the features defined with “first” and “second” may explicitly or implicitly include one or more features.
  • “plurality” means two or more than two, unless otherwise specifically defined.
  • the word "exemplary” is used to mean “serving as an example, illustration, or illustration.” Any embodiment described as “exemplary” in the present invention is not necessarily construed as being more preferable or advantageous than other embodiments.
  • the following description is given. In the following description, the details are listed for the purpose of explanation. It should be understood that those of ordinary skill in the art can realize that the present invention can also be implemented without using these specific details. In other instances, well-known structures and processes will not be described in detail to avoid unnecessary details to obscure the description of the present invention. Therefore, the present invention is not intended to be limited to the illustrated embodiments, but is consistent with the widest scope that conforms to the principles and features disclosed in the present invention.
  • the present invention provides a motor nonlinear distortion compensation method, device, and computer readable storage medium.
  • the motor nonlinear distortion compensation method includes: excite the motor system through a logarithmic sweep signal x(n), and collect the data through an accelerometer.
  • the acceleration signal y(n) of the motor system where n is a positive integer; the inverse filter signal q(n) is obtained through the logarithmic sweep signal x(n) and the acceleration signal y(n); the inverse filter signal q is eliminated (n)
  • the second to pth harmonic distortion of the m-th order component is used to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders, where 2 ⁇ m ⁇ p.
  • This method is implemented on the basis of the one-dimensional Volterra filter, and numerically compensates the nonlinear distortion of the nonlinear system model of the one-dimensional Volterra filter, and can perform nonlinear distortion compensation without knowing the physical model. . Detailed descriptions are given below.
  • FIG. 1 is a schematic flowchart of a method for compensating nonlinear distortion of a motor according to an embodiment of the present invention.
  • the motor nonlinear distortion compensation method of this embodiment includes steps S11-S13:
  • this method uses the motor system as a black box and numerically compensates the nonlinear distortion of the nonlinear system model of the Volterra filter, which can perform nonlinear distortion without knowing the physical model. make up.
  • FIG. 2 is a schematic flowchart of a method for compensating nonlinear distortion of a motor according to another embodiment of the present invention.
  • the motor nonlinear distortion compensation method of this embodiment includes steps S21-S23:
  • Volterra filter is a common nonlinear filter, which can be widely used to simulate nonlinear time-invariant systems. It is a kind of generalization of Taylor series, and its expression was first proposed by Vito Volterra in 1887.
  • the Volterra filter is preferably a one-dimensional Volterra filter, and a nonlinear system model (ie, ODVF) of the one-dimensional Volterra filter is established.
  • h p is the p-th order kernel function of the nonlinear system model
  • M p is the filter length of the p-th order kernel function
  • i represents the point coordinates of the discrete domain kernel function
  • i is the value range of 0 ⁇ M
  • p -1 the sampling point of the kernel function
  • p is a positive integer
  • x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
  • the infinite term of the model is simplified to a finite term, and the harmonic distortion after the p-order is ignored, that is, only the first p-order harmonic distortion is considered, and the structure of the motor nonlinear distortion compensation device is obtained based on
  • the nonlinear system model of Volterra filter to the motor's x(n) and y(n) nonlinear system model is as follows:
  • the further simplified nonlinear system model shown in the above formula can also be used for compensation calculation.
  • q 1 (n) only includes first-order components
  • q 2 (n) only includes second-order components
  • q p (n) includes only p-order components.
  • the non-linear distortion of y(n) of the motor is compensated.
  • the motor system as a black box, there is no need to determine the motor system model and parameters.
  • the compensation of the distortion of the uncertain nonlinear system is solved, and the problem that the motor system model and parameters cannot be determined in the prior art when the motor system is an uncertain nonlinear system is solved.
  • [] m indicates that only m-order harmonic distortion is retained, and m is a natural number.
  • Figure 3 is a schematic diagram of the compensation effect of the linear compensation filter of the prior art on the nonlinear distortion of the single-frequency signal.
  • FIG. 8 which is a schematic diagram of the suppression effect of total harmonic distortion provided by an embodiment of the present invention, and FIG. 8 shows the suppression of total harmonic distortion (THD) effect. From the simulation experiment, the method can effectively compensate the nonlinear distortion of motor acceleration, and the method is simple and feasible.
  • this method uses the motor system as a black box and numerically compensates the nonlinear distortion of the nonlinear system model of the Volterra filter, which can perform nonlinear distortion without knowing the physical model. make up.
  • FIG. 9 is a block diagram of a motor nonlinear distortion compensation device provided by an embodiment of the present invention.
  • the motor nonlinear distortion compensation device of this embodiment includes a model establishment module 31, an excitation and acquisition module 32, an inverse filter module 33, and Harmonic filter module 34:
  • the model establishment module 31 is used to establish a Volterra filter's nonlinear system model, taking the logarithmic sweep signal x(n) as the input of the nonlinear system model, and taking the vibration acceleration y(n) as the non-linear system model. The output of the linear system model.
  • the excitation and acquisition module 32 is used to excite the motor system through the logarithmic sweep signal x(n), and collect the acceleration signal y(n) of the motor system through the accelerometer, where n is a positive integer; the excitation and The acquisition module is also used to identify the kernel function of the nonlinear system model to obtain y(n), where y(n) satisfies the following formula:
  • h p is the p-th order kernel function of the nonlinear system model
  • M p is the filter length of the p-th order kernel function
  • i represents the point coordinates of the discrete domain kernel function
  • i is the value range of 0 ⁇ M
  • p -1 the sampling point of the kernel function
  • p is a positive integer
  • x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
  • the inverse filter module 33 is configured to obtain an inverse filter signal q(n) through the logarithmic sweep signal x(n) and an acceleration signal y(n); the inverse filter signal q(n) satisfies:
  • q 1 (n) only includes first-order components
  • q 2 (n) only includes second-order components
  • q p (n) includes only p-order components.
  • the harmonic elimination module 34 is used to eliminate the second to pth harmonic distortions of the m-th order component in the inverse filtered signal q(n) so as to perform compensation filters of different orders on the nonlinear distortion of the motor acceleration. Compensation, where 2 ⁇ m ⁇ p. Among them, eliminate the second to p-th harmonic distortion in the m-th order component, and obtain:
  • [] m indicates that only m-order harmonic distortion is retained, and m is a natural number.
  • this device uses the motor system as a black box and numerically compensates the nonlinear distortion of the nonlinear system model of the Volterra filter, which can perform nonlinear distortion without knowing the physical model. make up.
  • Fig. 10 is a schematic diagram of a terminal device provided by an embodiment of the present invention.
  • the terminal device 8 of this embodiment includes: a processor 80, a memory 81, and a computer program 82 stored in the memory 81 and running on the processor 80, such as motor nonlinear distortion compensation program.
  • the processor 80 executes the computer program 82, the steps in the foregoing embodiments of the motor nonlinear distortion compensation method are implemented, for example, steps 11 to 14 shown in FIG. 1.
  • the processor 80 executes the computer program 82
  • the functions of the modules in the foregoing device embodiments are implemented, for example, the functions of the modules 31 to 34 shown in FIG. 9.
  • the computer program 82 may be divided into one or more modules/units, and the one or more modules/units are stored in the memory 81 and executed by the processor 80 to complete this invention.
  • the one or more modules/units may be a series of computer program instruction segments capable of completing specific functions, and the instruction segments are used to describe the execution process of the computer program 82 in the terminal device 8.
  • the computer program 82 can be divided into the model building module 31, the excitation and acquisition module 32, the inverse filtering module 33, and the harmonic filtering module 34 shown in FIG. 9.
  • the terminal device 8 may be a computing device such as a desktop computer, a notebook, a palmtop computer, and a cloud server.
  • the terminal device 8 may include, but is not limited to, a processor 80 and a memory 81.
  • FIG. 8 is only an example of the terminal device 8 and does not constitute a limitation on the terminal device 8. It may include more or less components than shown in the figure, or a combination of certain components, or different components.
  • the terminal device 8 may also include input and output devices, network access devices, buses, and the like.
  • the so-called processor 80 can be a central processing unit (Central Processing Unit, CPU), other general-purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuits (Application Specific Integrated Circuit, ASIC), Ready-made programmable gate array (Field-Programmable Gate Array, FPGA) or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components, etc.
  • the general-purpose processor may be a microprocessor or the processor may also be any conventional processor or the like.
  • the memory 81 may be an internal storage unit of the terminal device 8, such as a hard disk or memory of the terminal device 8.
  • the memory 81 may also be an external storage device of the terminal device 8, such as a plug-in hard disk equipped on the terminal device 8, a smart memory card (Smart Media Card, SMC), or a Secure Digital (SD). Card, Flash Card, etc. Further, the memory 81 may also include both an internal storage unit of the terminal device 8 and an external storage device.
  • the memory 81 is used to store the computer program and other programs and data required by the terminal device 8.
  • the memory 81 can also be used to temporarily store data that has been output or will be output.
  • the disclosed device/terminal device and method may be implemented in other ways.
  • the device/terminal device embodiments described above are merely illustrative.
  • the division of the modules or units is only a logical function division, and there may be other divisions in actual implementation, such as multiple units.
  • components can be combined or integrated into another system, or some features can be omitted or not implemented.
  • the displayed or discussed mutual coupling or direct coupling or communication connection may be indirect coupling or communication connection through some interfaces, devices or units, and may be in electrical, mechanical or other forms.
  • the units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, they may be located in one place, or they may be distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the objectives of the solutions of the embodiments.
  • the functional units in the various embodiments of the present invention may be integrated into one processing unit, or each unit may exist alone physically, or two or more units may be integrated into one unit.
  • the above-mentioned integrated unit can be implemented in the form of hardware or software functional unit.
  • the integrated module/unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer readable storage medium.
  • the present invention implements all or part of the processes in the above-mentioned embodiments and methods, and can also be completed by instructing relevant hardware through a computer program.
  • the computer program can be stored in a computer-readable storage medium. When the program is executed by the processor, it can implement the steps of the foregoing method embodiments.
  • the computer program includes computer program code, and the computer program code may be in the form of source code, object code, executable file, or some intermediate forms.
  • the computer-readable medium may include: any entity or device capable of carrying the computer program code, recording medium, U disk, mobile hard disk, magnetic disk, optical disk, computer memory, read-only memory (Read-Only Memory, ROM) , Random Access Memory (RAM), electrical carrier signal, telecommunications signal, and software distribution media, etc.
  • the content contained in the computer-readable medium can be appropriately added or deleted according to the requirements of the legislation and patent practice in the jurisdiction.
  • the computer-readable medium Does not include electrical carrier signals and telecommunication signals.

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Abstract

A motor nonlinear distortion compensation method and apparatus, and a computer-readable storage medium. The motor nonlinear distortion compensation method comprises: exciting a motor system by means of a logarithm frequency sweeping signal x(n), and collecting an acceleration signal y(n) of the motor system by means of an accelerometer (S11); acquiring an inverse filtering signal q(n) by means of the logarithm frequency sweeping signal x(n) and the acceleration signal y(n) (S12); and eliminating the second to the p-th harmonic distortion of an m-order component in the inverse filtering signal q(n) so as to compensate for nonlinear distortion of the acceleration of a motor by means of compensation filters of different orders (S13). A motor system is used as a black box, and the nonlinear distortion of a nonlinear system model of a Volterra filter is numerically compensated for, such that nonlinear distortion compensation can be performed without knowing a physical model.

Description

马达非线性失真补偿方法、装置及计算机可读存储介质Motor nonlinear distortion compensation method, device and computer readable storage medium 技术领域Technical field
本发明涉及非线性失真补偿技术领域,更具体地说,涉及一种马达非线性失真补偿方法、装置及计算机可读存储介质。The present invention relates to the technical field of nonlinear distortion compensation, and more specifically, to a method and device for compensating nonlinear distortion of a motor, and a computer-readable storage medium.
背景技术Background technique
线性谐振激励器(LRA,俗称马达)在智能手机、智能手表和平板电脑等领域的应用越来越普及。在进行马达系统建模的时候,通常只考虑其线性部分而忽略其非线性失真;但是当马达的非线性失真部分比较大的时候,其造成的影响不可忽略,必须采用一定的方法进行建模和补偿。常规的做法是,对马达的参数进行非线性建模,再根据参数的非线性进行补偿。该方法需要对参数的非线性进行精确的测量,否则补偿效果不好。Linear resonant exciters (LRA, commonly known as motors) are becoming more and more popular in the fields of smart phones, smart watches, and tablet computers. When modeling a motor system, usually only its linear part is considered and its nonlinear distortion is ignored; but when the nonlinear distortion part of the motor is relatively large, its impact cannot be ignored, and certain methods must be used for modeling And compensation. The conventional method is to perform nonlinear modeling on the parameters of the motor, and then compensate according to the nonlinearity of the parameters. This method needs to accurately measure the nonlinearity of the parameters, otherwise the compensation effect will not be good.
发明内容Summary of the invention
本发明提供了一种马达非线性失真补偿方法、装置及计算机可读存储介质,能够解决现有技术中需要对参数的非线性进行精确的测量,补偿效果不好的问题。The present invention provides a method and device for compensating nonlinear distortion of a motor and a computer-readable storage medium, which can solve the problem that the nonlinearity of a parameter needs to be accurately measured in the prior art and the compensation effect is not good.
为解决上述问题,第一方面,本发明提供了一种马达非线性失真补偿方法,包括:In order to solve the above-mentioned problems, in the first aspect, the present invention provides a method for compensating nonlinear distortion of a motor, including:
通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的 加速度信号y(n),其中,n为正整数;The motor system is excited by the logarithmic sweep signal x(n), and the acceleration signal y(n) of the motor system is collected by the accelerometer, where n is a positive integer;
通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n);Obtain the inverse filtered signal q(n) through the logarithmic frequency sweep signal x(n) and the acceleration signal y(n);
消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,其中,2≤m≤p。Eliminate the second to pth harmonic distortion of the m-th order component in the inverse filtered signal q(n) to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders, where 2≤m≤p.
其中,所述通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的加速度信号y(n)包括:Wherein, the motor system is excited by the logarithmic sweep signal x(n), and the acceleration signal y(n) of the motor system is collected by the accelerometer includes:
建立Volterra滤波器的非线性系统模型,以对数扫频信号x(n)作为所述非线性系统模型的输入,以振动加速度y(n)作为所述非线性系统模型的输出;Establishing a nonlinear system model of the Volterra filter, using a logarithmic sweep signal x(n) as the input of the nonlinear system model, and using the vibration acceleration y(n) as the output of the nonlinear system model;
对所述非线性系统模型的核函数进行辨识以获取y(n),其中,y(n)满足如下式:The kernel function of the nonlinear system model is identified to obtain y(n), where y(n) satisfies the following formula:
Figure PCTCN2019130144-appb-000001
Figure PCTCN2019130144-appb-000001
其中,h p是所述非线性系统模型的第p阶核函数,M p是第p阶核函数的滤波器长度,i表示离散域核函数的点坐标,i为取值范围为0~M p-1的自然数,n表示核函数的采样点,p为正整数,x p(n-i)表示第n-i点坐标的x序列的p次方。 Among them, h p is the p-th order kernel function of the nonlinear system model, M p is the filter length of the p-th order kernel function, i represents the point coordinates of the discrete domain kernel function, and i is the value range of 0~M The natural number of p -1, n represents the sampling point of the kernel function, p is a positive integer, and x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
其中,所述通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n),包括:Wherein, obtaining the inverse filtered signal q(n) through the logarithmic sweep signal x(n) and the acceleration signal y(n) includes:
所述逆滤波信号q(n)满足:The inverse filtered signal q(n) satisfies:
q(n)=q 1(n)+q 2(n)+…+q p(n) q(n)=q 1 (n)+q 2 (n)+…+q p (n)
其中,q 1(n)只包括1阶分量,q 2(n)只包括2阶分量,…q p(n)只包括p阶分量。 Among them, q 1 (n) only includes first-order components, q 2 (n) only includes second-order components,...q p (n) includes only p-order components.
其中,所述消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真 以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,包括:Wherein, the elimination of the second to pth harmonic distortion of the m-th order component in the inverse filtered signal q(n) to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders includes:
消除m阶分量中第2次到第p次谐波失真,得到:Eliminate the 2nd to pth harmonic distortion in the m-th order component, and get:
Figure PCTCN2019130144-appb-000002
Figure PCTCN2019130144-appb-000002
其中,[] m表示只保留m阶谐波失真,m为自然数。 Among them, [] m indicates that only m-order harmonic distortion is retained, and m is a natural number.
其中,所述Volterra滤波器为一维Volterra滤波器。Wherein, the Volterra filter is a one-dimensional Volterra filter.
为解决上述问题,第二方面,提供一种马达非线性失真补偿装置,包括激励及采集模块、逆滤波模块及谐波滤除模块:In order to solve the above problems, in the second aspect, a motor nonlinear distortion compensation device is provided, which includes an excitation and acquisition module, an inverse filtering module, and a harmonic filtering module:
所述激励及采集模块,用于通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的加速度信号y(n),其中,n为正整数;The excitation and collection module is used to excite the motor system through the logarithmic sweep signal x(n), and collect the acceleration signal y(n) of the motor system through the accelerometer, where n is a positive integer;
所述逆滤波模块,用于通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n);The inverse filter module is configured to obtain the inverse filter signal q(n) through the logarithmic sweep signal x(n) and the acceleration signal y(n);
所述谐波消除模块,用于消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,其中,2≤m≤p。The harmonic elimination module is used to eliminate the second to pth harmonic distortion of the m-th order component in the inverse filtered signal q(n) to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders , Where 2≤m≤p.
其中,还包括模型建立模块;Among them, it also includes a model building module;
所述模型建立模块,用于建立Volterra滤波器的非线性系统模型,以对数扫频信号x(n)作为所述非线性系统模型的输入,以振动加速度y(n)作为所述非线性系统模型的输出;The model establishment module is used to establish the nonlinear system model of the Volterra filter, and the logarithmic sweep signal x(n) is used as the input of the nonlinear system model, and the vibration acceleration y(n) is used as the nonlinear system model. The output of the system model;
所述激励及采集模块,还用于对所述非线性系统模型的核函数进行辨识以获取y(n),其中,y(n)满足如下式:The excitation and acquisition module is also used to identify the kernel function of the nonlinear system model to obtain y(n), where y(n) satisfies the following formula:
Figure PCTCN2019130144-appb-000003
Figure PCTCN2019130144-appb-000003
其中,h p是所述非线性系统模型的第p阶核函数,M p是第p阶核函数的滤波器长度,i表示离散域核函数的点坐标,i为取值范围为0~M p-1的自然数,n表示核函数的采样点,p为正整数,x p(n-i)表示第n-i点坐标的x序列的p次方。 Among them, h p is the p-th order kernel function of the nonlinear system model, M p is the filter length of the p-th order kernel function, i represents the point coordinates of the discrete domain kernel function, and i is the value range of 0~M The natural number of p -1, n represents the sampling point of the kernel function, p is a positive integer, and x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
其中,所述逆滤波模块中:Wherein, in the inverse filtering module:
所述逆滤波信号q(n)满足:The inverse filtered signal q(n) satisfies:
q(n)=q 1(n)+q 2(n)+…+q p(n) q(n)=q 1 (n)+q 2 (n)+…+q p (n)
其中,q 1(n)只包括1阶分量,q 2(n)只包括2阶分量,…q p(n)只包括p阶分量。 Among them, q 1 (n) only includes first-order components, q 2 (n) only includes second-order components,...q p (n) includes only p-order components.
其中,所述谐波消除模块中:Wherein, in the harmonic elimination module:
消除m阶分量中第2次到第p次谐波失真,得到:Eliminate the 2nd to pth harmonic distortion in the m-th order component, and get:
Figure PCTCN2019130144-appb-000004
Figure PCTCN2019130144-appb-000004
其中,[] m表示只保留m阶谐波失真,m为自然数。 Among them, [] m indicates that only m-order harmonic distortion is retained, and m is a natural number.
为解决上述问题,第三方面,提供一种计算机可读存储介质,所述存储介质中存储有多条指令,所述指令适于由处理器加载以执行如上任一项所述的一种马达非线性失真补偿方法。In order to solve the above-mentioned problems, in a third aspect, a computer-readable storage medium is provided, and a plurality of instructions are stored in the storage medium, and the instructions are suitable for being loaded by a processor to execute a motor as described above. Non-linear distortion compensation method.
本发明的有益效果是:The beneficial effects of the present invention are:
通过将马达系统作为黑盒,并在数值上对Volterra滤波器的非线性系统模型的非线性失真进行补偿,能够在不需要知道物理模型的前提下进行非线性失 真补偿。By taking the motor system as a black box and numerically compensating for the nonlinear distortion of the Volterra filter's nonlinear system model, it is possible to perform nonlinear distortion compensation without knowing the physical model.
附图说明Description of the drawings
为了更清楚地说明本发明实施例中的技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to explain the technical solutions in the embodiments of the present invention more clearly, the following will briefly introduce the drawings needed in the description of the embodiments. Obviously, the drawings in the following description are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative work.
图1是本发明实施例提供一种马达非线性失真补偿方法的流程示意图;FIG. 1 is a schematic flowchart of a method for compensating nonlinear distortion of a motor according to an embodiment of the present invention;
图2是本发明另一实施例提供一种马达非线性失真补偿方法的流程示意图;2 is a schematic flowchart of a method for compensating nonlinear distortion of a motor according to another embodiment of the present invention;
图3是线性补偿滤波器对单频信号非线性失真的补偿效果示意图;Figure 3 is a schematic diagram of the compensation effect of the linear compensation filter on the nonlinear distortion of the single-frequency signal;
图4是本发明实施例提供的二阶补偿滤波器对单频信号非线性失真的补偿效果示意图;4 is a schematic diagram of the compensation effect of the second-order compensation filter on the nonlinear distortion of the single-frequency signal provided by the embodiment of the present invention;
图5是本发明实施例提供的三阶补偿滤波器对单频信号非线性失真的补偿效果示意图;FIG. 5 is a schematic diagram of the compensation effect of a third-order compensation filter provided by an embodiment of the present invention on the nonlinear distortion of a single-frequency signal;
图6是本发明实施例提供的四阶补偿滤波器对单频信号非线性失真的补偿效果示意图;6 is a schematic diagram of the compensation effect of the fourth-order compensation filter on the nonlinear distortion of the single-frequency signal provided by the embodiment of the present invention;
图7是本发明实施例提供的五阶补偿滤波器对单频信号非线性失真的补偿效果示意图;FIG. 7 is a schematic diagram of the compensation effect of the fifth-order compensation filter on the nonlinear distortion of the single-frequency signal provided by the embodiment of the present invention;
图8是本发明实施例提供的总谐波失真的抑制效果示意图;FIG. 8 is a schematic diagram of the suppression effect of total harmonic distortion provided by an embodiment of the present invention;
图9是本发明实施例提供一种马达非线性失真补偿装置的框图;9 is a block diagram of a motor nonlinear distortion compensation device provided by an embodiment of the present invention;
图10是本发明实施例提供的终端设备的示意图。Fig. 10 is a schematic diagram of a terminal device provided by an embodiment of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域技术人员在没有作出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative work shall fall within the protection scope of the present invention.
在本发明的描述中,需要理解的是,术语“中心”、“纵向”、“横向”、“长度”、“宽度”、“厚度”、“上”、“下”、“前”、“后”、“左”、“右”、“竖直”、“水平”、“顶”、“底”、“内”、“外”等指示的方位或位置关系为基于附图所示的方位或位置关系,仅是为了便于描述本发明和简化描述,而不是指示或暗示所指的装置或元件必须具有特定的方位、以特定的方位构造和操作,因此不能理解为对本发明的限制。此外,术语“第一”、“第二”仅用于描述目的,而不能理解为指示或暗示相对重要性或者隐含指明所指示的技术特征的数量。由此,限定有“第一”、“第二”的特征可以明示或者隐含地包括一个或者更多个特征。在本发明的描述中,“多个”的含义是两个或两个以上,除非另有明确具体的限定。In the description of the present invention, it should be understood that the terms "center", "longitudinal", "transverse", "length", "width", "thickness", "upper", "lower", "front", " The orientation or positional relationship indicated by “back”, “left”, “right”, “vertical”, “horizontal”, “top”, “bottom”, “inner”, and “outer” are based on the orientation shown in the drawings The or positional relationship is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the pointed device or element must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation of the present invention. In addition, the terms "first" and "second" are only used for descriptive purposes, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of indicated technical features. Thus, the features defined with "first" and "second" may explicitly or implicitly include one or more features. In the description of the present invention, "plurality" means two or more than two, unless otherwise specifically defined.
在本发明中,“示例性”一词用来表示“用作例子、例证或说明”。本发明中被描述为“示例性”的任何实施例不一定被解释为比其它实施例更优选或更具优势。为了使本领域任何技术人员能够实现和使用本发明,给出了以下描述。在以下描述中,为了解释的目的而列出了细节。应当明白的是,本领域普通技术人员可以认识到,在不使用这些特定细节的情况下也可以实现本发明。在其它实例中,不会对公知的结构和过程进行详细阐述,以避免不必要的细节使本发明的描述变得晦涩。因此,本发明并非旨在限于所示的实施例,而是与符合本发明所公开的原理和特征的最广范围相一致。In the present invention, the word "exemplary" is used to mean "serving as an example, illustration, or illustration." Any embodiment described as "exemplary" in the present invention is not necessarily construed as being more preferable or advantageous than other embodiments. In order to enable any person skilled in the art to implement and use the present invention, the following description is given. In the following description, the details are listed for the purpose of explanation. It should be understood that those of ordinary skill in the art can realize that the present invention can also be implemented without using these specific details. In other instances, well-known structures and processes will not be described in detail to avoid unnecessary details to obscure the description of the present invention. Therefore, the present invention is not intended to be limited to the illustrated embodiments, but is consistent with the widest scope that conforms to the principles and features disclosed in the present invention.
本发明给出了一种马达非线性失真补偿方法、装置及计算机可读存储介质,该马达非线性失真补偿方法包括:通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的加速度信号y(n),其中,n为正整数;通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n);消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,其中,2≤m≤p。该方法通过在一维Volterra滤波的基础上实现,并在数值上对一维Volterra滤波器的非线性系统模型的非线性失真进行补偿,能够在不需要知道物理模型的前提下进行非线性失真补偿。以下分别进行详细说明。The present invention provides a motor nonlinear distortion compensation method, device, and computer readable storage medium. The motor nonlinear distortion compensation method includes: excite the motor system through a logarithmic sweep signal x(n), and collect the data through an accelerometer. The acceleration signal y(n) of the motor system, where n is a positive integer; the inverse filter signal q(n) is obtained through the logarithmic sweep signal x(n) and the acceleration signal y(n); the inverse filter signal q is eliminated (n) The second to pth harmonic distortion of the m-th order component is used to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders, where 2≤m≤p. This method is implemented on the basis of the one-dimensional Volterra filter, and numerically compensates the nonlinear distortion of the nonlinear system model of the one-dimensional Volterra filter, and can perform nonlinear distortion compensation without knowing the physical model. . Detailed descriptions are given below.
请参阅图1,图1是本发明实施例提供一种马达非线性失真补偿方法的流程示意图。该实施例的马达非线性失真补偿方法包括步骤S11-S13:Please refer to FIG. 1. FIG. 1 is a schematic flowchart of a method for compensating nonlinear distortion of a motor according to an embodiment of the present invention. The motor nonlinear distortion compensation method of this embodiment includes steps S11-S13:
S11、通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的加速度信号y(n),其中,n为正整数。S11. Excite the motor system through the logarithmic sweep signal x(n), and collect the acceleration signal y(n) of the motor system through the accelerometer, where n is a positive integer.
S12、通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n)。S12. Obtain an inverse filtered signal q(n) through the logarithmic frequency sweep signal x(n) and the acceleration signal y(n).
S13、消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,其中,2≤m≤p。S13. Eliminate the second to pth harmonic distortions of the m-th order component in the inverse filtered signal q(n) to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders, where 2≤m≤ p.
区别于现有技术,本方法通过将马达系统作为黑盒,并在数值上对Volterra滤波器的非线性系统模型的非线性失真进行补偿,能够在不需要知道物理模型的前提下进行非线性失真补偿。Different from the prior art, this method uses the motor system as a black box and numerically compensates the nonlinear distortion of the nonlinear system model of the Volterra filter, which can perform nonlinear distortion without knowing the physical model. make up.
参见图2,图2是本发明另一实施例提供一种马达非线性失真补偿方法的流程示意图。该实施例的马达非线性失真补偿方法包括步骤S21-S23:Referring to FIG. 2, FIG. 2 is a schematic flowchart of a method for compensating nonlinear distortion of a motor according to another embodiment of the present invention. The motor nonlinear distortion compensation method of this embodiment includes steps S21-S23:
S21、建立Volterra滤波器的非线性系统模型,以对数扫频信号x(n)作为所述非线性系统模型的输入,以振动加速度y(n)作为所述非线性系统模型的输 出。S21. Establish a nonlinear system model of the Volterra filter, use the logarithmic sweep signal x(n) as the input of the nonlinear system model, and use the vibration acceleration y(n) as the output of the nonlinear system model.
本实施例中,为了准确地对马达的非线性失真进行补偿,就必须采用复杂的结构和方法来对马达的逆特性进行建模和参数估计。Volterra滤波器是一种常见的非线性滤波器,可以广泛的用于模拟非线性时不变系统。它是泰勒级数的一种推广,其表达式于1887年首次由Vito Volterra提出。其中,所述Volterra滤波器优选为一维Volterra滤波器,建立一维Volterra滤波器的非线性系统模型(即ODVF)。In this embodiment, in order to accurately compensate for the non-linear distortion of the motor, a complicated structure and method must be used to model and estimate the inverse characteristics of the motor. Volterra filter is a common nonlinear filter, which can be widely used to simulate nonlinear time-invariant systems. It is a kind of generalization of Taylor series, and its expression was first proposed by Vito Volterra in 1887. Wherein, the Volterra filter is preferably a one-dimensional Volterra filter, and a nonlinear system model (ie, ODVF) of the one-dimensional Volterra filter is established.
S22、对所述非线性系统模型的核函数进行辨识以获取y(n),其中,y(n)满足如下式:S22. Identify the kernel function of the nonlinear system model to obtain y(n), where y(n) satisfies the following formula:
Figure PCTCN2019130144-appb-000005
Figure PCTCN2019130144-appb-000005
其中,h p是所述非线性系统模型的第p阶核函数,M p是第p阶核函数的滤波器长度,i表示离散域核函数的点坐标,i为取值范围为0~M p-1的自然数,n表示核函数的采样点,p为正整数,x p(n-i)表示第n-i点坐标的x序列的p次方。 Among them, h p is the p-th order kernel function of the nonlinear system model, M p is the filter length of the p-th order kernel function, i represents the point coordinates of the discrete domain kernel function, and i is the value range of 0~M The natural number of p -1, n represents the sampling point of the kernel function, p is a positive integer, and x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
本实施例中,进一步的为了简化计算,将模型的无限项简化为有限项,忽略p阶之后的谐波失真,即只考虑前p阶谐波失真,得到马达非线性失真补偿装置构造的基于Volterra滤波器的非线性系统模型对马达的x(n)及y(n)的非线性系统模型,如下:In this embodiment, further in order to simplify the calculation, the infinite term of the model is simplified to a finite term, and the harmonic distortion after the p-order is ignored, that is, only the first p-order harmonic distortion is considered, and the structure of the motor nonlinear distortion compensation device is obtained based on The nonlinear system model of Volterra filter to the motor's x(n) and y(n) nonlinear system model is as follows:
Figure PCTCN2019130144-appb-000006
Figure PCTCN2019130144-appb-000006
本实施例中也可以采用上式所示的进一步简化后的非线性系统模型进行补偿计算。In this embodiment, the further simplified nonlinear system model shown in the above formula can also be used for compensation calculation.
S23、通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n),所述逆滤波信号q(n)满足:S23. Obtain an inverse filter signal q(n) through the logarithmic sweep signal x(n) and the acceleration signal y(n), and the inverse filter signal q(n) satisfies:
q(n)=q 1(n)+q 2(n)+…+q p(n) q(n)=q 1 (n)+q 2 (n)+…+q p (n)
其中,q 1(n)只包括1阶分量,q 2(n)只包括2阶分量,…q p(n)只包括p阶分量。 Among them, q 1 (n) only includes first-order components, q 2 (n) only includes second-order components,...q p (n) includes only p-order components.
本实施例中,根据所述非线性系统模型和所述逆滤波信号,补偿所述马达的y(n)的非线性失真,通过将马达系统作为黑盒,无需确定马达系统模型和参数,实现了不确定非线性系统的失真的补偿,解决了现有技术中当马达系统为不确定非线性系统时,由于无法确定马达系统模型和参数,导致无法进行非线性失真补偿的问题。In this embodiment, according to the non-linear system model and the inverse filter signal, the non-linear distortion of y(n) of the motor is compensated. By using the motor system as a black box, there is no need to determine the motor system model and parameters. The compensation of the distortion of the uncertain nonlinear system is solved, and the problem that the motor system model and parameters cannot be determined in the prior art when the motor system is an uncertain nonlinear system is solved.
S24、消除m阶分量中第2次到第p次谐波失真,得到:S24. Eliminate the second to p-th harmonic distortion in the m-th order component to obtain:
Figure PCTCN2019130144-appb-000007
Figure PCTCN2019130144-appb-000007
其中,[] m表示只保留m阶谐波失真,m为自然数。 Among them, [] m indicates that only m-order harmonic distortion is retained, and m is a natural number.
本实施例中,只有当各成分中q的总阶数为m时才有值,其余情况为0。In this embodiment, there is a value only when the total order of q in each component is m, and it is 0 in other cases.
对于1阶表达式为:For the first-order expression:
q 1=x q 1 = x
对于2阶表达式为:For the second-order expression:
Figure PCTCN2019130144-appb-000008
Figure PCTCN2019130144-appb-000008
对于3阶表达式为:For the third-order expression:
Figure PCTCN2019130144-appb-000009
Figure PCTCN2019130144-appb-000009
对于4阶表达式为:For the fourth-order expression:
Figure PCTCN2019130144-appb-000010
Figure PCTCN2019130144-appb-000010
对于5阶表达式为:For the 5th order expression:
Figure PCTCN2019130144-appb-000011
Figure PCTCN2019130144-appb-000011
为了验证所述马达非线性失真补偿方法的实际效果,通过对一种马达实测振动加速度,并基于所述Volterra滤波器的非线性系统模型进行系统辨识,该马达的参数如下表1所示:In order to verify the actual effect of the motor nonlinear distortion compensation method, a system is identified by measuring the vibration acceleration of a motor based on the nonlinear system model of the Volterra filter. The parameters of the motor are shown in Table 1 below:
Figure PCTCN2019130144-appb-000012
Figure PCTCN2019130144-appb-000012
表1马达的参数表Table 1 Motor parameter table
请同时参阅图3-8,图3是现有技术的线性补偿滤波器对单频信号非线性失真的补偿效果示意图,图4-7给出了不同阶数的补偿滤波器对单频信号非线性失真(2nd表示二阶谐波失真,3rd表示三阶谐波失真,依次类推)的补偿效果,其中comp2表示二阶补偿器(即q=q1+q2),comp3表示三阶补偿器(即 q=q1+q2+q3),以此类推;同时参见图8,图8是本发明实施例提供的总谐波失真的抑制效果示意图,图8给出了总谐波失真(THD)的抑制效果。从仿真实验来看,该方法可以有效地对马达加速度的非线性失真进行补偿,且方法简单可行。Please refer to Figures 3-8 at the same time. Figure 3 is a schematic diagram of the compensation effect of the linear compensation filter of the prior art on the nonlinear distortion of the single-frequency signal. Compensation effect of linear distortion (2nd means second-order harmonic distortion, 3rd means third-order harmonic distortion, and so on), where comp2 means second-order compensator (ie q=q1+q2), and comp3 means third-order compensator (ie q=q1+q2+q3), and so on; also refer to FIG. 8, which is a schematic diagram of the suppression effect of total harmonic distortion provided by an embodiment of the present invention, and FIG. 8 shows the suppression of total harmonic distortion (THD) effect. From the simulation experiment, the method can effectively compensate the nonlinear distortion of motor acceleration, and the method is simple and feasible.
区别于现有技术,本方法通过将马达系统作为黑盒,并在数值上对Volterra滤波器的非线性系统模型的非线性失真进行补偿,能够在不需要知道物理模型的前提下进行非线性失真补偿。Different from the prior art, this method uses the motor system as a black box and numerically compensates the nonlinear distortion of the nonlinear system model of the Volterra filter, which can perform nonlinear distortion without knowing the physical model. make up.
参见图9,图9是本发明实施例提供一种马达非线性失真补偿装置的框图,该实施例的马达非线性失真补偿装置包括模型建立模块31、激励及采集模块32、逆滤波模块33及谐波滤除模块34:Referring to FIG. 9, FIG. 9 is a block diagram of a motor nonlinear distortion compensation device provided by an embodiment of the present invention. The motor nonlinear distortion compensation device of this embodiment includes a model establishment module 31, an excitation and acquisition module 32, an inverse filter module 33, and Harmonic filter module 34:
所述模型建立模块31,用于建立Volterra滤波器的非线性系统模型,以对数扫频信号x(n)作为所述非线性系统模型的输入,以振动加速度y(n)作为所述非线性系统模型的输出。The model establishment module 31 is used to establish a Volterra filter's nonlinear system model, taking the logarithmic sweep signal x(n) as the input of the nonlinear system model, and taking the vibration acceleration y(n) as the non-linear system model. The output of the linear system model.
所述激励及采集模块32,用于通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的加速度信号y(n),其中,n为正整数;所述激励及采集模块,还用于对所述非线性系统模型的核函数进行辨识以获取y(n),其中,y(n)满足如下式:The excitation and acquisition module 32 is used to excite the motor system through the logarithmic sweep signal x(n), and collect the acceleration signal y(n) of the motor system through the accelerometer, where n is a positive integer; the excitation and The acquisition module is also used to identify the kernel function of the nonlinear system model to obtain y(n), where y(n) satisfies the following formula:
Figure PCTCN2019130144-appb-000013
Figure PCTCN2019130144-appb-000013
其中,h p是所述非线性系统模型的第p阶核函数,M p是第p阶核函数的滤波器长度,i表示离散域核函数的点坐标,i为取值范围为0~M p-1的自然数,n表示核函数的采样点,p为正整数,x p(n-i)表示第n-i点坐标的x序列的p次方。 Among them, h p is the p-th order kernel function of the nonlinear system model, M p is the filter length of the p-th order kernel function, i represents the point coordinates of the discrete domain kernel function, and i is the value range of 0~M The natural number of p -1, n represents the sampling point of the kernel function, p is a positive integer, and x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
所述逆滤波模块33,用于通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n);所述逆滤波信号q(n)满足:The inverse filter module 33 is configured to obtain an inverse filter signal q(n) through the logarithmic sweep signal x(n) and an acceleration signal y(n); the inverse filter signal q(n) satisfies:
q(n)=q 1(n)+q 2(n)+…+q p(n) q(n)=q 1 (n)+q 2 (n)+…+q p (n)
其中,q 1(n)只包括1阶分量,q 2(n)只包括2阶分量,…q p(n)只包括p阶分量。 Among them, q 1 (n) only includes first-order components, q 2 (n) only includes second-order components,...q p (n) includes only p-order components.
所述谐波消除模块34,用于消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,其中,2≤m≤p。其中,消除m阶分量中第2次到第p次谐波失真,得到:The harmonic elimination module 34 is used to eliminate the second to pth harmonic distortions of the m-th order component in the inverse filtered signal q(n) so as to perform compensation filters of different orders on the nonlinear distortion of the motor acceleration. Compensation, where 2≤m≤p. Among them, eliminate the second to p-th harmonic distortion in the m-th order component, and obtain:
Figure PCTCN2019130144-appb-000014
Figure PCTCN2019130144-appb-000014
其中,[] m表示只保留m阶谐波失真,m为自然数。 Among them, [] m indicates that only m-order harmonic distortion is retained, and m is a natural number.
区别于现有技术,本装置通过将马达系统作为黑盒,并在数值上对Volterra滤波器的非线性系统模型的非线性失真进行补偿,能够在不需要知道物理模型的前提下进行非线性失真补偿。Different from the prior art, this device uses the motor system as a black box and numerically compensates the nonlinear distortion of the nonlinear system model of the Volterra filter, which can perform nonlinear distortion without knowing the physical model. make up.
图10是本发明实施例提供的终端设备的示意图。如图10所示,该实施例的终端设备8包括:处理器80、存储器81以及存储在所述存储器81中并可在所述处理器80上运行的计算机程序82,例如马达非线性失真补偿程序。所述处理器80执行所述计算机程序82时实现上述各个马达非线性失真补偿方法实施例中的步骤,例如图1所示的步骤11至14。或者,所述处理器80执行所述计算机程序82时实现上述各装置实施例中各模块的功能,例如图9所示模块31至34的功能。Fig. 10 is a schematic diagram of a terminal device provided by an embodiment of the present invention. As shown in FIG. 10, the terminal device 8 of this embodiment includes: a processor 80, a memory 81, and a computer program 82 stored in the memory 81 and running on the processor 80, such as motor nonlinear distortion compensation program. When the processor 80 executes the computer program 82, the steps in the foregoing embodiments of the motor nonlinear distortion compensation method are implemented, for example, steps 11 to 14 shown in FIG. 1. Alternatively, when the processor 80 executes the computer program 82, the functions of the modules in the foregoing device embodiments are implemented, for example, the functions of the modules 31 to 34 shown in FIG. 9.
示例性的,所述计算机程序82可以被分割成一个或多个模块/单元,所述一个或者多个模块/单元被存储在所述存储器81中,并由所述处理器80执行,以完成本发明。所述一个或多个模块/单元可以是能够完成特定功能的一系列计算机程序指令段,该指令段用于描述所述计算机程序82在所述终端设备8中的执行过程。例如,所述计算机程序82可以被分割成图9所示的模型建立模块31、激励及采集模块32、逆滤波模块33及谐波滤除模块34。Exemplarily, the computer program 82 may be divided into one or more modules/units, and the one or more modules/units are stored in the memory 81 and executed by the processor 80 to complete this invention. The one or more modules/units may be a series of computer program instruction segments capable of completing specific functions, and the instruction segments are used to describe the execution process of the computer program 82 in the terminal device 8. For example, the computer program 82 can be divided into the model building module 31, the excitation and acquisition module 32, the inverse filtering module 33, and the harmonic filtering module 34 shown in FIG. 9.
所述终端设备8可以是桌上型计算机、笔记本、掌上电脑及云端服务器等计算设备。所述终端设备8可包括,但不仅限于,处理器80、存储器81。本领域技术人员可以理解,图8仅仅是终端设备8的示例,并不构成对终端设备8的限定,可以包括比图示更多或更少的部件,或者组合某些部件,或者不同的部件,例如所述终端设备8还可以包括输入输出设备、网络接入设备、总线等。The terminal device 8 may be a computing device such as a desktop computer, a notebook, a palmtop computer, and a cloud server. The terminal device 8 may include, but is not limited to, a processor 80 and a memory 81. Those skilled in the art can understand that FIG. 8 is only an example of the terminal device 8 and does not constitute a limitation on the terminal device 8. It may include more or less components than shown in the figure, or a combination of certain components, or different components. For example, the terminal device 8 may also include input and output devices, network access devices, buses, and the like.
所称处理器80可以是中央处理单元(Central Processing Unit,CPU),还可以是其他通用处理器、数字信号处理器(Digital Signal Processor,DSP)、专用集成电路(Application Specific Integrated Circuit,ASIC)、现成可编程门阵列(Field-Programmable Gate Array,FPGA)或者其他可编程逻辑器件、分立门或者晶体管逻辑器件、分立硬件组件等。通用处理器可以是微处理器或者该处理器也可以是任何常规的处理器等。The so-called processor 80 can be a central processing unit (Central Processing Unit, CPU), other general-purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuits (Application Specific Integrated Circuit, ASIC), Ready-made programmable gate array (Field-Programmable Gate Array, FPGA) or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components, etc. The general-purpose processor may be a microprocessor or the processor may also be any conventional processor or the like.
所述存储器81可以是所述终端设备8的内部存储单元,例如终端设备8的硬盘或内存。所述存储器81也可以是所述终端设备8的外部存储设备,例如所述终端设备8上配备的插接式硬盘,智能存储卡(Smart Media Card,SMC),安全数字(Secure Digital,SD)卡,闪存卡(Flash Card)等。进一步地,所述存储器81还可以既包括所述终端设备8的内部存储单元也包括外部存储设备。所 述存储器81用于存储所述计算机程序以及所述终端设备8所需的其他程序和数据。所述存储器81还可以用于暂时地存储已经输出或者将要输出的数据。The memory 81 may be an internal storage unit of the terminal device 8, such as a hard disk or memory of the terminal device 8. The memory 81 may also be an external storage device of the terminal device 8, such as a plug-in hard disk equipped on the terminal device 8, a smart memory card (Smart Media Card, SMC), or a Secure Digital (SD). Card, Flash Card, etc. Further, the memory 81 may also include both an internal storage unit of the terminal device 8 and an external storage device. The memory 81 is used to store the computer program and other programs and data required by the terminal device 8. The memory 81 can also be used to temporarily store data that has been output or will be output.
所属领域的技术人员可以清楚地了解到,为了描述的方便和简洁,仅以上述各功能单元、模块的划分进行举例说明,实际应用中,可以根据需要而将上述功能分配由不同的功能单元、模块完成,即将所述终端设备的内部结构划分成不同的功能单元或模块,以完成以上描述的全部或者部分功能。实施例中的各功能单元、模块可以集成在一个处理单元中,也可以是各个单元单独物理存在,也可以两个或两个以上单元集成在一个单元中,上述集成的单元既可以采用硬件的形式实现,也可以采用软件功能单元的形式实现。另外,各功能单元、模块的具体名称也只是为了便于相互区分,并不用于限制本发明的保护范围。上述系统中单元、模块的具体工作过程,可以参考前述方法实施例中的对应过程,在此不再赘述。Those skilled in the art can clearly understand that, for the convenience and conciseness of description, only the division of the above functional units and modules is used as an example. In practical applications, the above functions can be allocated to different functional units and modules as needed. Module completion, that is, the internal structure of the terminal device is divided into different functional units or modules to complete all or part of the functions described above. The functional units and modules in the embodiments can be integrated into one processing unit, or each unit can exist alone physically, or two or more units can be integrated into one unit. The above-mentioned integrated units can be hardware-based Formal realization can also be realized in the form of a software functional unit. In addition, the specific names of the functional units and modules are only for the convenience of distinguishing each other, and are not used to limit the protection scope of the present invention. For the specific working process of the units and modules in the foregoing system, reference may be made to the corresponding process in the foregoing method embodiment, which will not be repeated here.
在上述实施例中,对各个实施例的描述都各有侧重,某个实施例中没有详述或记载的部分,可以参见其它实施例的相关描述。In the above-mentioned embodiments, the description of each embodiment has its own focus. For parts that are not described in detail or recorded in an embodiment, reference may be made to related descriptions of other embodiments.
本领域普通技术人员可以意识到,结合本文中所公开的实施例描述的各示例的单元及算法步骤,能够以电子硬件、或者计算机软件和电子硬件的结合来实现。这些功能究竟以硬件还是软件方式来执行,取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用来使用不同方法来实现所描述的功能,但是这种实现不应认为超出本发明的范围。A person of ordinary skill in the art may realize that the units and algorithm steps of the examples described in combination with the embodiments disclosed herein can be implemented by electronic hardware or a combination of computer software and electronic hardware. Whether these functions are executed by hardware or software depends on the specific application and design constraint conditions of the technical solution. Professionals and technicians can use different methods for each specific application to implement the described functions, but such implementation should not be considered as going beyond the scope of the present invention.
在本发明所提供的实施例中,应该理解到,所揭露的装置/终端设备和方法,可以通过其它的方式实现。例如,以上所描述的装置/终端设备实施例仅仅是示意性的,例如,所述模块或单元的划分,仅仅为一种逻辑功能划分,实际实现时可以有另外的划分方式,例如多个单元或组件可以结合或者可以集成 到另一个系统,或一些特征可以忽略,或不执行。另一点,所显示或讨论的相互之间的耦合或直接耦合或通讯连接可以是通过一些接口,装置或单元的间接耦合或通讯连接,可以是电性,机械或其它的形式。In the embodiments provided by the present invention, it should be understood that the disclosed device/terminal device and method may be implemented in other ways. For example, the device/terminal device embodiments described above are merely illustrative. For example, the division of the modules or units is only a logical function division, and there may be other divisions in actual implementation, such as multiple units. Or components can be combined or integrated into another system, or some features can be omitted or not implemented. In addition, the displayed or discussed mutual coupling or direct coupling or communication connection may be indirect coupling or communication connection through some interfaces, devices or units, and may be in electrical, mechanical or other forms.
所述作为分离部件说明的单元可以是或者也可以不是物理上分开的,作为单元显示的部件可以是或者也可以不是物理单元,即可以位于一个地方,或者也可以分布到多个网络单元上。可以根据实际的需要选择其中的部分或者全部单元来实现本实施例方案的目的。The units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, they may be located in one place, or they may be distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the objectives of the solutions of the embodiments.
另外,在本发明各个实施例中的各功能单元可以集成在一个处理单元中,也可以是各个单元单独物理存在,也可以两个或两个以上单元集成在一个单元中。上述集成的单元既可以采用硬件的形式实现,也可以采用软件功能单元的形式实现。In addition, the functional units in the various embodiments of the present invention may be integrated into one processing unit, or each unit may exist alone physically, or two or more units may be integrated into one unit. The above-mentioned integrated unit can be implemented in the form of hardware or software functional unit.
所述集成的模块/单元如果以软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本发明实现上述实施例方法中的全部或部分流程,也可以通过计算机程序来指令相关的硬件来完成,所述的计算机程序可存储于一计算机可读存储介质中,该计算机程序在被处理器执行时,可实现上述各个方法实施例的步骤。其中,所述计算机程序包括计算机程序代码,所述计算机程序代码可以为源代码形式、对象代码形式、可执行文件或某些中间形式等。所述计算机可读介质可以包括:能够携带所述计算机程序代码的任何实体或装置、记录介质、U盘、移动硬盘、磁碟、光盘、计算机存储器、只读存储器(Read-Only Memory,ROM)、随机存取存储器(RandomAccess Memory,RAM)、电载波信号、电信信号以及软件分发介质等。需要说明的是,所述计算机可读介质包含的内容可以根据司法管辖区内立法和专利实践的要求进行适当的增减,例如在某些司法管辖区,根据立 法和专利实践,计算机可读介质不包括电载波信号和电信信号。If the integrated module/unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer readable storage medium. Based on this understanding, the present invention implements all or part of the processes in the above-mentioned embodiments and methods, and can also be completed by instructing relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium. When the program is executed by the processor, it can implement the steps of the foregoing method embodiments. Wherein, the computer program includes computer program code, and the computer program code may be in the form of source code, object code, executable file, or some intermediate forms. The computer-readable medium may include: any entity or device capable of carrying the computer program code, recording medium, U disk, mobile hard disk, magnetic disk, optical disk, computer memory, read-only memory (Read-Only Memory, ROM) , Random Access Memory (RAM), electrical carrier signal, telecommunications signal, and software distribution media, etc. It should be noted that the content contained in the computer-readable medium can be appropriately added or deleted according to the requirements of the legislation and patent practice in the jurisdiction. For example, in some jurisdictions, according to the legislation and patent practice, the computer-readable medium Does not include electrical carrier signals and telecommunication signals.
应理解,上述实施例中各步骤的序号的大小并不意味着执行顺序的先后,各过程的执行顺序应以其功能和内在逻辑确定,而不应对本发明实施例的实施过程构成任何限定。It should be understood that the size of the sequence number of each step in the foregoing embodiment does not mean the sequence of execution. The execution sequence of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiment of the present invention.
以上实施例的各技术特征可以进行任意的组合,为使描述简洁,未对上述实施例中的各个技术特征所有可能的组合都进行描述,然而,只要这些技术特征的组合不存在矛盾,都应当认为是本说明书记载的范围。The technical features of the above embodiments can be combined arbitrarily. In order to make the description concise, all possible combinations of the technical features in the above embodiments are not described. However, as long as there is no contradiction in the combination of these technical features, they should be It is considered as the range described in this specification.
以上所述实施例仅表达了本发明的几种实施方式,其描述较为具体和详细,但并不能因此而理解为对本发明专利范围的限制。应当指出的是,对于本领域的普通技术人员来说,在不脱离本发明构思的前提下,还可以做出若干变形和改进,这些都属于本发明的保护范围。因此,本发明专利的保护范围应以所附权利要求为准。The above-mentioned embodiments only express several implementation modes of the present invention, and their description is relatively specific and detailed, but they should not be understood as a limitation on the patent scope of the present invention. It should be pointed out that for those of ordinary skill in the art, without departing from the concept of the present invention, several modifications and improvements can be made, and these all fall within the protection scope of the present invention. Therefore, the protection scope of the patent of the present invention should be subject to the appended claims.

Claims (10)

  1. 一种马达非线性失真补偿方法,其特征在于,包括:A method for compensating nonlinear distortion of a motor, which is characterized in that it comprises:
    通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的加速度信号y(n),其中,n为正整数;The motor system is excited by the logarithmic sweep signal x(n), and the acceleration signal y(n) of the motor system is collected by the accelerometer, where n is a positive integer;
    通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n);Obtain the inverse filtered signal q(n) through the logarithmic frequency sweep signal x(n) and the acceleration signal y(n);
    消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,其中,2≤m≤p。Eliminate the second to pth harmonic distortion of the m-th order component in the inverse filtered signal q(n) to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders, where 2≤m≤p.
  2. 根据权利要求1所述的马达非线性失真补偿方法,其特征在于,所述通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的加速度信号y(n)包括:The method for compensating nonlinear distortion of a motor according to claim 1, wherein the excitation of the motor system by the logarithmic sweep signal x(n), and the collection of the acceleration signal y(n) of the motor system by the accelerometer comprises:
    建立Volterra滤波器的非线性系统模型,以对数扫频信号x(n)作为所述非线性系统模型的输入,以振动加速度y(n)作为所述非线性系统模型的输出;Establishing a nonlinear system model of the Volterra filter, using a logarithmic sweep signal x(n) as the input of the nonlinear system model, and using the vibration acceleration y(n) as the output of the nonlinear system model;
    对所述非线性系统模型的核函数进行辨识以获取y(n),其中,y(n)满足如下式:The kernel function of the nonlinear system model is identified to obtain y(n), where y(n) satisfies the following formula:
    Figure PCTCN2019130144-appb-100001
    Figure PCTCN2019130144-appb-100001
    其中,h p是所述非线性系统模型的第p阶核函数,M p是第p阶核函数的滤波器长度,i表示离散域核函数的点坐标,i为取值范围为0~M p-1的自然数,n表示核函数的采样点,p为正整数,x p(n-i)表示第n-i点坐标的x序列的p次方。 Among them, h p is the p-th order kernel function of the nonlinear system model, M p is the filter length of the p-th order kernel function, i represents the point coordinates of the discrete domain kernel function, and i is the value range of 0~M The natural number of p -1, n represents the sampling point of the kernel function, p is a positive integer, and x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
  3. 根据权利要求2所述的马达非线性失真补偿方法,其特征在于,所述通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号q(n),包括:The motor nonlinear distortion compensation method according to claim 2, wherein the obtaining the inverse filtered signal q(n) through the logarithmic sweep signal x(n) and the acceleration signal y(n) comprises:
    所述逆滤波信号q(n)满足:The inverse filtered signal q(n) satisfies:
    q(n)=q 1(n)+q 2(n)+…+q p(n) q(n)=q 1 (n)+q 2 (n)+…+q p (n)
    其中,q 1(n)只包括1阶分量,q 2(n)只包括2阶分量,…q p(n)只包括p阶分量。 Among them, q 1 (n) only includes first-order components, q 2 (n) only includes second-order components,...q p (n) includes only p-order components.
  4. 根据权利要求3所述的马达非线性失真补偿方法,其特征在于,所述消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,包括:The motor nonlinear distortion compensation method according to claim 3, wherein the second to pth harmonic distortion of the m-th order component in the inverse filtered signal q(n) is eliminated to pass different orders of compensation The filter compensates for the nonlinear distortion of motor acceleration, including:
    消除m阶分量中第2次到第p次谐波失真,得到:Eliminate the 2nd to pth harmonic distortion in the m-th order component, and get:
    Figure PCTCN2019130144-appb-100002
    Figure PCTCN2019130144-appb-100002
    其中,
    Figure PCTCN2019130144-appb-100003
    表示只保留m阶谐波失真,m为自然数。
    among them,
    Figure PCTCN2019130144-appb-100003
    Indicates that only m-th harmonic distortion is retained, and m is a natural number.
  5. 根据权利要求2所述的马达非线性失真补偿方法,其特征在于,所述Volterra滤波器为一维Volterra滤波器。The motor nonlinear distortion compensation method according to claim 2, wherein the Volterra filter is a one-dimensional Volterra filter.
  6. 一种马达非线性失真补偿装置,其特征在于,包括激励及采集模块、逆滤波模块及谐波滤除模块:A motor nonlinear distortion compensation device, which is characterized in that it comprises an excitation and acquisition module, an inverse filtering module and a harmonic filtering module:
    所述激励及采集模块,用于通过对数扫频信号x(n)激励马达系统,通过加速度计采集所属马达系统的加速度信号y(n),其中,n为正整数;The excitation and collection module is used to excite the motor system through the logarithmic sweep signal x(n), and collect the acceleration signal y(n) of the motor system through the accelerometer, where n is a positive integer;
    所述逆滤波模块,用于通过所述对数扫频信号x(n)及加速度信号y(n)获取逆滤波信号 q(n);The inverse filter module is configured to obtain the inverse filter signal q(n) through the logarithmic sweep signal x(n) and the acceleration signal y(n);
    所述谐波消除模块,用于消除逆滤波信号q(n)中m阶分量的第2次到第p次谐波失真以通过不同阶数的补偿滤波器对马达加速度的非线性失真进行补偿,其中,2≤m≤p。The harmonic elimination module is used to eliminate the second to pth harmonic distortion of the m-th order component in the inverse filtered signal q(n) to compensate the nonlinear distortion of the motor acceleration through compensation filters of different orders , Where 2≤m≤p.
  7. 根据权利要求6所述的马达非线性失真补偿装置,其特征在于,还包括模型建立模块;The motor nonlinear distortion compensation device according to claim 6, characterized in that it further comprises a model building module;
    所述模型建立模块,用于建立Volterra滤波器的非线性系统模型,以对数扫频信号x(n)作为所述非线性系统模型的输入,以振动加速度y(n)作为所述非线性系统模型的输出;The model establishment module is used to establish the nonlinear system model of the Volterra filter, and the logarithmic sweep signal x(n) is used as the input of the nonlinear system model, and the vibration acceleration y(n) is used as the nonlinear system model. The output of the system model;
    所述激励及采集模块,还用于对所述非线性系统模型的核函数进行辨识以获取y(n),其中,y(n)满足如下式:The excitation and acquisition module is also used to identify the kernel function of the nonlinear system model to obtain y(n), where y(n) satisfies the following formula:
    Figure PCTCN2019130144-appb-100004
    Figure PCTCN2019130144-appb-100004
    其中,h p是所述非线性系统模型的第p阶核函数,M p是第p阶核函数的滤波器长度,i表示离散域核函数的点坐标,i为取值范围为0~M p-1的自然数,n表示核函数的采样点,p为正整数,x p(n-i)表示第n-i点坐标的x序列的p次方。 Among them, h p is the p-th order kernel function of the nonlinear system model, M p is the filter length of the p-th order kernel function, i represents the point coordinates of the discrete domain kernel function, and i is the value range of 0~M The natural number of p -1, n represents the sampling point of the kernel function, p is a positive integer, and x p (ni) represents the p power of the x sequence of the ni-th point coordinates.
  8. 根据权利要求7所述的马达非线性失真补偿装置,其特征在于,所述逆滤波模块中:The motor nonlinear distortion compensation device according to claim 7, wherein in the inverse filter module:
    所述逆滤波信号q(n)满足:The inverse filtered signal q(n) satisfies:
    q(n)=q 1(n)+q 2(n)+…+q p(n) q(n)=q 1 (n)+q 2 (n)+…+q p (n)
    其中,q 1(n)只包括1阶分量,q 2(n)只包括2阶分量,…q p(n)只包括p阶分量。 Among them, q 1 (n) only includes first-order components, q 2 (n) only includes second-order components,...q p (n) includes only p-order components.
  9. 根据权利要求8所述的马达非线性失真补偿装置,其特征在于,所述谐波消除模块中:The motor nonlinear distortion compensation device according to claim 8, wherein in the harmonic elimination module:
    消除m阶分量中第2次到第p次谐波失真,得到:Eliminate the 2nd to pth harmonic distortion in the m-th order component, and get:
    Figure PCTCN2019130144-appb-100005
    Figure PCTCN2019130144-appb-100005
    其中,
    Figure PCTCN2019130144-appb-100006
    表示只保留m阶谐波失真,m为自然数。
    among them,
    Figure PCTCN2019130144-appb-100006
    Indicates that only m-th order harmonic distortion is retained, and m is a natural number.
  10. 一种计算机可读存储介质,其特征在于,所述存储介质中存储有多条指令,所述指令适于由处理器加载以执行权利要求1至5任一项所述的一种马达非线性失真补偿方法。A computer-readable storage medium, wherein a plurality of instructions are stored in the storage medium, and the instructions are adapted to be loaded by a processor to execute the motor nonlinearity described in any one of claims 1 to 5 Distortion compensation method.
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