CN108132603A - A kind of Self-tuning Fuzzy PID Control and system - Google Patents

A kind of Self-tuning Fuzzy PID Control and system Download PDF

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CN108132603A
CN108132603A CN201711393916.8A CN201711393916A CN108132603A CN 108132603 A CN108132603 A CN 108132603A CN 201711393916 A CN201711393916 A CN 201711393916A CN 108132603 A CN108132603 A CN 108132603A
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tuning
error
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tracker
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高健
刘亚超
陈新
陈云
汤晖
张昱
杨志军
贺云波
张凯
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Guangdong University of Technology
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Abstract

本申请公开了一种模糊自整定PID控制方法,包括分别利用跟踪器和微分器获取误差跟踪信号和误差微分信号;跟踪器和微分器相互独立;采用模糊自整定PID算法,根据误差跟踪信号和误差微分信号进行PID参数自整定,根据自整定后的PID参数计算总控制量,并输出至被控对象,以便对被控对象进行调节控制。本申请采用相互独立的跟踪器和微分器,可通过合理设置跟踪器和微分器各自的相关参数,来分别获取性能较好的误差跟踪信号和误差微分信号,避免了进行信号跟踪时的相位延迟问题与进行信号微分时的噪声放大、波形失真问题之间的矛盾,进而有效提高整体控制效果。本申请还公开了一种模糊自整定PID控制系统,同样具有上述有益效果。

The application discloses a fuzzy self-tuning PID control method, which includes using a tracker and a differentiator to obtain an error tracking signal and an error differential signal respectively; The error differential signal is used for self-tuning of PID parameters, and the total control quantity is calculated according to the PID parameters after self-tuning, and output to the controlled object, so as to regulate and control the controlled object. This application uses a tracker and a differentiator that are independent of each other. By setting the relevant parameters of the tracker and the differentiator reasonably, the error tracking signal and the error differential signal with better performance can be obtained respectively, and the phase delay during signal tracking can be avoided. The contradiction between the problem and the noise amplification and waveform distortion problems during signal differentiation can effectively improve the overall control effect. The present application also discloses a fuzzy self-tuning PID control system, which also has the above beneficial effects.

Description

一种模糊自整定PID控制方法及系统A fuzzy self-tuning PID control method and system

技术领域technical field

本申请涉及自动控制技术领域,特别涉及一种模糊自整定PID控制方法及系统。The present application relates to the technical field of automatic control, in particular to a fuzzy self-tuning PID control method and system.

背景技术Background technique

PID控制技术目前仍是工业现场中所普遍使用的基础过程控制技术。模糊自整定PID控制技术在经典PID控制技术的基础上结合了模糊智能控制技术与PID参数自整定技术,根据误差信号及误差信号的微分信号来输出合理的总控制量,使被控对象具有相对较好的动态性能和静态性能。PID control technology is still the basic process control technology commonly used in industrial sites. Fuzzy self-tuning PID control technology combines fuzzy intelligent control technology and PID parameter self-tuning technology on the basis of classic PID control technology, and outputs a reasonable total control amount according to the error signal and the differential signal of the error signal, so that the controlled object has relative Better dynamic performance and static performance.

现有技术中,为了解决PID控制过程中快速性和超调之间的矛盾,利用了自抗扰控制中的跟踪微分器来对系统的误差信号进行跟踪和微分,以便根据得到的跟踪信号和微分信号进行模糊自整定PID控制。In the prior art, in order to solve the contradiction between rapidity and overshoot in the PID control process, the tracking differentiator in the active disturbance rejection control is used to track and differentiate the error signal of the system, so that according to the obtained tracking signal and The differential signal is used for fuzzy self-tuning PID control.

但是,由于现有技术中是使用同一跟踪微分器来输出跟踪信号和微分信号的,即用于产生跟踪信号的相关参数与用于产生微分信号的相关参数完全相同,而同一套参数是无法同时得到完美的跟踪信号和微分信号的,所以跟踪信号的相位延迟问题和微分信号的噪声放大、波形失真问题总是无法同时解决,使得两个信号之间存在着矛盾。However, since the same tracking differentiator is used in the prior art to output the tracking signal and the differential signal, that is, the relevant parameters used to generate the tracking signal are exactly the same as those used to generate the differential signal, and the same set of parameters cannot be simultaneously The perfect tracking signal and differential signal are obtained, so the phase delay problem of the tracking signal and the noise amplification and waveform distortion problems of the differential signal cannot always be solved at the same time, so that there is a contradiction between the two signals.

由此可见,采用何种模糊自整定PID控制方法以便同时解决进行信号跟踪时的相位延迟问题和进行信号微分时的噪声放大、波形失真问题,进而提高控制效果,是本领域技术人员所需要解决的重要技术问题。It can be seen that what kind of fuzzy self-tuning PID control method to use to simultaneously solve the phase delay problem during signal tracking and the noise amplification and waveform distortion problems during signal differentiation, thereby improving the control effect, is what those skilled in the art need to solve important technical issues.

发明内容Contents of the invention

本申请的目的在于提供一种模糊自整定PID控制方法及系统,以便有效地同时解决信号跟踪时的相位延迟问题和信号微分时的噪声放大、波形失真问题,进而提高控制效果。The purpose of this application is to provide a fuzzy self-tuning PID control method and system to effectively solve the phase delay problem during signal tracking and the noise amplification and waveform distortion problems during signal differentiation, thereby improving the control effect.

为解决上述技术问题,本申请提供一种模糊自整定PID控制方法,包括:In order to solve the above technical problems, the application provides a fuzzy self-tuning PID control method, including:

分别利用跟踪器和微分器获取误差跟踪信号和误差微分信号;所述跟踪器和所述微分器相互独立;Using a tracker and a differentiator to obtain an error tracking signal and an error differential signal respectively; the tracker and the differentiator are independent of each other;

采用模糊自整定PID算法,根据所述误差跟踪信号和所述误差微分信号进行PID参数自整定,根据自整定后的PID参数计算总控制量,并输出至被控对象,以便对所述被控对象进行调节控制。Adopt fuzzy self-tuning PID algorithm, perform PID parameter self-tuning according to the error tracking signal and the error differential signal, calculate the total control amount according to the PID parameter after self-tuning, and output it to the controlled object, so as to control the controlled object Objects are regulated and controlled.

可选地,所述分别利用跟踪器和微分器获取误差跟踪信号和误差微分信号包括:Optionally, said obtaining the error tracking signal and the error differential signal by using the tracker and the differentiator respectively includes:

分别利用第一跟踪器和第二跟踪器获取系统输入信号的第一跟踪信号和系统输出信号的第二跟踪信号;分别利用第一微分器和第二微分器获取所述系统输入信号的第一微分信号和所述系统输出信号的第二微分信号;Using the first tracker and the second tracker to obtain the first tracking signal of the system input signal and the second tracking signal of the system output signal respectively; using the first differentiator and the second differentiator to obtain the first tracking signal of the system input signal a differential signal and a second differential signal of the system output signal;

将所述第一跟踪信号与所述第二跟踪信号之差作为所述误差跟踪信号;将所述第一微分信号与所述第二微分信号之差作为所述误差微分信号。The difference between the first tracking signal and the second tracking signal is used as the error tracking signal; the difference between the first differential signal and the second differential signal is used as the error differential signal.

可选地,所述跟踪器的表达式为:Optionally, the expression of the tracker is:

其中,v为所述跟踪器的输入信号;v1为v的跟踪信号;v2为v1的微分信号;T1为所述跟踪器的积分步长;r1为所述跟踪器的速度因子;h1为所述跟踪器的滤波因子;n为预报补偿步长,n>1。Among them, v is the input signal of the tracker; v1 is the tracking signal of v; v2 is the differential signal of v1; T1 is the integration step of the tracker; r1 is the speed factor of the tracker; The filter factor of the above-mentioned tracker; n is the forecast compensation step size, n>1.

可选地,n∈[2,2h1T1]。Optionally, n ∈ [2,2h1T1].

可选地,所述微分器的表达式为:Optionally, the expression of the differentiator is:

其中,u为所述微分器的输入信号;u1为u的跟踪信号;u2为u1的微分信号;T2为所述微分器的积分步长;r2为所述微分器的速度因子;h2为所述微分器的滤波因子。Among them, u is the input signal of the differentiator; u1 is the tracking signal of u; u2 is the differential signal of u1; T2 is the integration step of the differentiator; r2 is the speed factor of the differentiator; filter factor of the differentiator.

可选地,T1=T2、h1=h2且r1=r2。Optionally, T1=T2, h1=h2 and r1=r2.

可选地,所述模糊自整定PID控制算法为离散论域的模糊自整定PID控制算法。Optionally, the fuzzy self-tuning PID control algorithm is a fuzzy self-tuning PID control algorithm of discrete universe.

可选地,所述模糊自整定PID控制算法为二维模糊自整定PID控制算法。Optionally, the fuzzy self-tuning PID control algorithm is a two-dimensional fuzzy self-tuning PID control algorithm.

可选地,所述根据自整定后的PID参数计算总控制量包括:Optionally, said calculating the total control quantity according to the PID parameters after self-tuning includes:

根据以下PID控制计算公式计算所述总控制量:Calculate the total control quantity according to the following PID control calculation formula:

其中,U(k+1)为k+1时刻的总控制量;Kp (k+1)、Ki (k+1)和Kd (k+1)均为k+1时刻的所述PID参数;e(i)为i时刻的所述误差跟踪信号;为k+1时刻的所述误差微分信号。Among them, U (k+1) is the total control quantity at k+1 moment; K p (k+1) , K i (k+1) and K d (k+1) are all the above-mentioned PID parameters; e (i) is the error tracking signal at the moment of i; is the error differential signal at time k+1.

本申请还提供了一种模糊自整定PID控制系统,包括:The application also provides a fuzzy self-tuning PID control system, including:

跟踪器:用于获取误差跟踪信号;Tracker: used to obtain error tracking signal;

微分器:用于获取误差微分信号;所述跟踪器和所述微分器相互独立;A differentiator: used to obtain an error differential signal; the tracker and the differentiator are independent of each other;

模糊自整定PID控制器:用于采用模糊自整定PID算法,根据所述误差跟踪信号和所述误差微分信号进行PID参数自整定;根据自整定后的PID参数计算总控制量,并输出至被控对象,以便对所述被控对象进行调节控制。Fuzzy self-tuning PID controller: used for adopting fuzzy self-tuning PID algorithm, performing PID parameter self-tuning according to the error tracking signal and the error differential signal; calculating the total control amount according to the PID parameters after self-tuning, and outputting it to the controlled object, so as to regulate and control the controlled object.

本申请所提供的模糊自整定PID控制方法包括:分别利用跟踪器和微分器获取误差跟踪信号和误差微分信号;所述跟踪器和所述微分器相互独立;采用模糊自整定PID算法,根据所述误差跟踪信号和所述误差微分信号进行PID参数自整定,根据自整定后的PID参数计算总控制量,并输出至被控对象,以便对所述被控对象进行调节控制。The fuzzy self-tuning PID control method provided by the present application includes: using a tracker and a differentiator to obtain an error tracking signal and an error differential signal respectively; the tracker and the differentiator are independent of each other; using a fuzzy self-tuning PID algorithm, The PID parameter self-tuning is performed on the error tracking signal and the error differential signal, the total control quantity is calculated according to the self-tuning PID parameter, and output to the controlled object, so as to regulate and control the controlled object.

可见,相比于现有技术,本申请所提供的模糊自整定PID控制方法中,采用相互独立的跟踪器和微分器来分别获取误差跟踪信号和误差微分信号,从而可以通过合理设置跟踪器和微分器各自的相关参数,来分别获取性能较好的误差跟踪信号和误差微分信号,避免了进行信号跟踪时的相位延迟问题与进行信号微分时的波形失真、噪声放大问题之间的矛盾,进而有效提高系统的整体控制效果。It can be seen that compared with the prior art, in the fuzzy self-tuning PID control method provided by the present application, independent trackers and differentiators are used to obtain the error tracking signal and the error differential signal respectively, so that the tracker and the error differential signal can be reasonably set The relevant parameters of the differentiators are used to obtain the error tracking signal and the error differential signal with better performance, which avoids the contradiction between the phase delay problem during signal tracking and the waveform distortion and noise amplification problems during signal differentiation. Effectively improve the overall control effect of the system.

附图说明Description of drawings

为了更清楚地说明现有技术和本申请实施例中的技术方案,下面将对现有技术和本申请实施例描述中需要使用的附图作简要的介绍。当然,下面有关本申请实施例的附图描述的仅仅是本申请中的一部分实施例,对于本领域普通技术人员来说,在不付出创造性劳动的前提下,还可以根据提供的附图获得其他的附图,所获得的其他附图也属于本申请的保护范围。In order to illustrate the prior art and the technical solutions in the embodiments of the present application more clearly, the following briefly introduces the drawings that need to be used in the description of the prior art and the embodiments of the present application. Of course, the following drawings related to the embodiments of the application describe only a part of the embodiments of the application, and those of ordinary skill in the art can obtain other The accompanying drawings, and other obtained drawings also belong to the protection scope of the present application.

图1为本申请实施例所提供的一种模糊自整定PID控制方法的流程图;Fig. 1 is the flow chart of a kind of fuzzy self-tuning PID control method provided by the embodiment of the application;

图2为本申请实施例所提供的一种模糊自整定PID控制方法的控制框图;Fig. 2 is the control block diagram of a kind of fuzzy self-tuning PID control method provided by the embodiment of the application;

图3为本申请实施例所提供的一种系统输入信号的波形图;FIG. 3 is a waveform diagram of a system input signal provided by an embodiment of the present application;

图4为根据图3所示系统输入信号而得到的误差跟踪信号的波形图;Fig. 4 is the oscillogram of the error tracking signal obtained according to the system input signal shown in Fig. 3;

图5为根据图3所示系统输入信号而得到的误差微分信号的波形图;Fig. 5 is the oscillogram of the error differential signal obtained according to the system input signal shown in Fig. 3;

图6为根据图3所示系统输入信号而得到的系统输出信号的波形图;Fig. 6 is the oscillogram of the system output signal obtained according to the system input signal shown in Fig. 3;

图7为本申请实施例所提供的另一种系统输入信号的波形图;FIG. 7 is a waveform diagram of another system input signal provided by the embodiment of the present application;

图8为根据图7所示系统输入信号而得到的误差跟踪信号的波形图;Fig. 8 is the waveform diagram of the error tracking signal obtained according to the system input signal shown in Fig. 7;

图9为根据图7所示系统输入信号而得到的误差微分信号的波形图;Fig. 9 is the waveform diagram of the error differential signal obtained according to the system input signal shown in Fig. 7;

图10为根据图7所示系统输入信号而得到的系统输出信号的波形图;Fig. 10 is a waveform diagram of the system output signal obtained according to the system input signal shown in Fig. 7;

图11为本申请实施例所提供的一种模糊自整定PID控制系统的结构框图。Fig. 11 is a structural block diagram of a fuzzy self-tuning PID control system provided by the embodiment of the present application.

具体实施方式Detailed ways

本申请的核心在于提供一种模糊自整定PID控制方法及系统,以便有效地同时解决信号跟踪时的相位延迟问题和信号微分时的波形失真、噪声放大问题,进而提高控制效果。The core of this application is to provide a fuzzy self-tuning PID control method and system to effectively solve the phase delay problem during signal tracking and the waveform distortion and noise amplification problems during signal differentiation, thereby improving the control effect.

为了对本申请实施例中的技术方案进行更加清楚、完整地描述,下面将结合本申请实施例中的附图,对本申请实施例中的技术方案进行介绍。显然,所描述的实施例仅仅是本申请一部分实施例,而不是全部的实施例。基于本申请中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本申请保护的范围。In order to describe the technical solutions in the embodiments of the present application more clearly and completely, the technical solutions in the embodiments of the present application will be introduced below in conjunction with the drawings in the embodiments of the present application. Apparently, the described embodiments are only some of the embodiments of this application, not all of them. Based on the embodiments in this application, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the scope of protection of this application.

请参考图1,图1为本申请实施例所提供的一种模糊自整定PID控制方法的流程图,主要包括以下步骤:Please refer to Fig. 1, Fig. 1 is a flow chart of a kind of fuzzy self-tuning PID control method provided by the embodiment of the present application, which mainly includes the following steps:

步骤1:分别利用跟踪器和微分器获取误差跟踪信号和误差微分信号。Step 1: Use tracker and differentiator to obtain error tracking signal and error differential signal respectively.

其中,跟踪器和微分器相互独立。Among them, the tracker and differentiator are independent of each other.

具体地,本申请中所提供的模糊自整定PID控制方法同样将误差跟踪信号和误差微分信号用于进行模糊自整定PID控制,以便消除PID控制过程中快速性和超调问题间的矛盾。但不同于现有技术,本申请具体采用的是相互独立的跟踪器和微分器,利用两者来分别获取系统的误差跟踪信号和误差微分信号。因此,本申请中的跟踪器和微分器可以分别采用各自最为合适的参数,以便分别得到最为精确的误差跟踪信号和误差微分信号。Specifically, the fuzzy self-tuning PID control method provided in this application also uses the error tracking signal and the error differential signal for fuzzy self-tuning PID control, so as to eliminate the contradiction between rapidity and overshoot in the PID control process. However, unlike the prior art, the present application specifically adopts a tracker and a differentiator that are independent of each other, and uses the two to respectively obtain the error tracking signal and the error differential signal of the system. Therefore, the tracker and the differentiator in the present application can respectively adopt the most appropriate parameters, so as to obtain the most accurate error tracking signal and error differential signal respectively.

这里需要说明的是,模糊自整定PID控制是一种带有输出反馈的闭环控制,其控制目标是令系统的输出信号稳定在系统的输入信号。这里以及下文中所提到的误差均是指系统的输入信号与系统的输出信号之间的误差。What needs to be explained here is that fuzzy self-tuning PID control is a closed-loop control with output feedback, and its control goal is to stabilize the output signal of the system at the input signal of the system. The errors mentioned here and below refer to the errors between the input signal of the system and the output signal of the system.

当然,采用了相互独立的跟踪器和微分器的结构之后,跟踪器和微分器的具体类型也可以由本领域技术人员根据实际情况自行选择并设置。例如,由于自抗扰算法中的跟踪微分器同时具有跟踪功能和微分功能,因此可以仍然具体选择跟踪微分器作为跟踪器或者微分器;再例如,也可以选择采用其他如正交混频等算法的微分器来获取微分信号。Of course, after adopting the structure of the tracker and the differentiator independently of each other, the specific types of the tracker and the differentiator can also be selected and set by those skilled in the art according to the actual situation. For example, since the tracking differentiator in the ADRR algorithm has both the tracking function and the differentiating function, the tracking differentiator can still be specifically selected as the tracker or differentiator; for another example, other algorithms such as quadrature mixing can also be selected differentiator to obtain the differential signal.

步骤2:采用模糊自整定PID算法,根据误差跟踪信号和误差微分信号进行PID参数自整定,根据自整定后的PID参数计算总控制量,并输出至被控对象,以便对被控对象进行调节控制。Step 2: Use the fuzzy self-tuning PID algorithm, perform PID parameter self-tuning according to the error tracking signal and error differential signal, calculate the total control quantity according to the PID parameters after self-tuning, and output it to the controlled object, so as to adjust the controlled object control.

具体地,模糊自整定PID算法可以根据系统的误差跟踪信号和误差微分信号,以及预设的模糊规则,对PID控制过程中的PID参数进行自整定,以获得即时控制效果较好的PID参数,并利用整定后的PID参数输出控制量,作用于被控对象,使其输出信号稳定在输入信号,达到控制目标状态。Specifically, the fuzzy self-tuning PID algorithm can self-tune the PID parameters in the PID control process according to the system error tracking signal and error differential signal, as well as the preset fuzzy rules, so as to obtain PID parameters with better real-time control effect, And use the adjusted PID parameters to output the control quantity, and act on the controlled object, so that the output signal is stable at the input signal, and the control target state is achieved.

可见,本申请实施例所提供的模糊自整定PID控制方法中,采用相互独立的跟踪器和微分器来分别获取误差跟踪信号和误差微分信号,从而可以通过合理设置跟踪器和微分器各自的相关参数,来分别获取性能较好的误差跟踪信号和误差微分信号,避免了进行信号跟踪时的相位延迟问题与进行信号微分时的波形失真、噪声放大问题之间的矛盾,进而有效提高系统的整体控制效果。It can be seen that in the fuzzy self-tuning PID control method provided by the embodiment of the present application, the independent tracker and differentiator are used to obtain the error tracking signal and the error differential signal respectively, so that the respective correlations of the tracker and differentiator can be reasonably set. Parameters, to obtain the error tracking signal and error differential signal with better performance, avoiding the contradiction between the phase delay problem during signal tracking and the waveform distortion and noise amplification problems during signal differentiation, thereby effectively improving the overall performance of the system Control effect.

本申请所提供的模糊自整定PID控制方法,在上述实施例的基础上:The fuzzy self-tuning PID control method provided by this application, on the basis of the above-mentioned embodiments:

请参考图2,图2为本申请实施例所提供的一种模糊自整定PID控制方法的控制框图。Please refer to FIG. 2 , which is a control block diagram of a fuzzy self-tuning PID control method provided by an embodiment of the present application.

如图2所示,作为一种优选实施例,分别利用跟踪器和微分器获取误差跟踪信号e和误差微分信号包括:As shown in Figure 2, as a preferred embodiment, the tracker and differentiator are used to obtain the error tracking signal e and the error differential signal include:

分别利用第一跟踪器和第二跟踪器获取系统输入信号x的第一跟踪信号x1和系统输出信号y的第二跟踪信号y1;分别利用第一微分器和第二微分器获取系统输入信号x的第一微分信号x2和系统输出信号y的第二微分信号y2;Use the first tracker and the second tracker to obtain the first tracking signal x1 of the system input signal x and the second tracking signal y1 of the system output signal y respectively; use the first differentiator and the second differentiator to obtain the system input signal x The first differential signal x2 of the system output signal y and the second differential signal y2 of the system;

将第一跟踪信号x1与第二跟踪信号y1之差作为误差跟踪信号e;将第一微分信号x2与第二微分信号y2之差作为误差微分信号 The difference between the first tracking signal x1 and the second tracking signal y1 is used as the error tracking signal e; the difference between the first differential signal x2 and the second differential signal y2 is used as the error differential signal

具体地,因为误差是系统输入信号x和系统输出信号y的误差,所以可以利用两个跟踪器分别获取系统输入信号x的第一跟踪信号x1和系统输出信号y的第二跟踪信号y1,然后通过相减得到误差跟踪信号e。Specifically, since the error is the error between the system input signal x and the system output signal y, two trackers can be used to respectively obtain the first tracking signal x1 of the system input signal x and the second tracking signal y1 of the system output signal y, and then The error tracking signal e is obtained by subtraction.

类似地,可以利用两个微分器分别获取系统输入信号x的第一微分信号x2和系统输出信号y的第二微分信号y2,然后通过相减得到误差跟踪信号 Similarly, two differentiators can be used to obtain the first differential signal x2 of the system input signal x and the second differential signal y2 of the system output signal y, and then obtain the error tracking signal by subtraction

此外,本领域技术人员也可以只采用单跟踪器加单微分器的控制方法,即先将系统输入信号x与系统输出信号y作差得到误差信号之后,在分别利用跟踪器和微分器对误差信号进行跟踪和微分,得到误差跟踪信号e和误差微分信号当然,这两种方法的跟踪对象不同,得到的误差跟踪信号e和误差微分信号的具体值也不同。事实上,双跟踪器加双微分器的控制方法是先进行跟踪、在得到光滑的跟踪结果后再作差的,因此其相比于单跟踪器加单微分器的控制方法具有超前控制的效果,可以更有效地抑制超调。In addition, those skilled in the art can also only use the control method of single tracker plus single differentiator, that is, firstly, after the error signal is obtained by making a difference between the system input signal x and the system output signal y, the error signal is calculated by using the tracker and differentiator respectively. The signal is tracked and differentiated to obtain the error tracking signal e and the error differential signal Of course, the tracking objects of these two methods are different, and the obtained error tracking signal e and error differential signal The specific values are also different. In fact, the control method of double tracker plus double differentiator is to track first, and then make a difference after obtaining a smooth tracking result, so it has the effect of advanced control compared with the control method of single tracker plus single differentiator , can suppress overshoot more effectively.

作为一种优选实施例,跟踪器的表达式为:As a preferred embodiment, the expression of the tracker is:

其中,v为跟踪器的输入信号;v1为v的跟踪信号;v2为v1的微分信号;T1为跟踪器的积分步长;r1为跟踪器的速度因子;h1为跟踪器的滤波因子;n为预报补偿步长,n>1。Among them, v is the input signal of the tracker; v1 is the tracking signal of v; v2 is the differential signal of v1; T1 is the integral step of the tracker; r1 is the speed factor of the tracker; h1 is the filter factor of the tracker; n is the forecast compensation step size, n>1.

具体地,如前所述,本申请实施例所提供的跟踪器,具体可以采用与自抗扰控制中的跟踪微分器相同的结构,则输出的v1即为所需要获取的跟踪信号。相比于常规的不进行预报补偿(即预报补偿步长n为1)的跟踪微分器,这里所采用的跟踪微分器通过预报补偿步长n>1的设置,可以进一步加速跟踪过程,对跟踪器的输入信号进行跟踪,输出跟踪信号,有效解决误差跟踪信号的相位延迟问题。Specifically, as mentioned above, the tracker provided by the embodiment of the present application may adopt the same structure as the tracking differentiator in ADRC, and the output v1 is the tracking signal to be obtained. Compared with the conventional tracking differentiator without forecast compensation (that is, the forecast compensation step size n is 1), the tracking differentiator adopted here can further accelerate the tracking process by setting the forecast compensation step size n>1. The input signal of the device is tracked, and the tracking signal is output, which effectively solves the phase delay problem of the error tracking signal.

在上述表达式中,fhan函数是自动控制领域中的最速控制综合函数,它可以合理地安排控制终端过渡过程,达到解决响应速度和超调之间的矛盾的效果。fhan函数的具体表达式为:In the above expression, the fhan function is the fastest control comprehensive function in the field of automatic control, which can reasonably arrange the transition process of the control terminal, and achieve the effect of solving the contradiction between the response speed and the overshoot. The specific expression of the fhan function is:

作为一种优选实施例,n∈[2,2h1T1]。As a preferred embodiment, n∈[2,2h1T1].

具体地,在进行预报补偿时,预报补偿步长n的取值不能一味过大,否则将引起严重超调甚至震荡等情况。根据经验,本申请实施例所提供的预报补偿步长n的取值范围优选为n∈[2,2h1T1]。当然,本领域技术人员可以根据实际应用情况自行选择最佳的预报补偿步长n,以便获取理想控制效果,本申请实施例对此并不进行限定。Specifically, when performing forecast compensation, the value of the forecast compensation step size n cannot be too large blindly, otherwise serious overshoot or even oscillation will be caused. According to experience, the value range of the forecast compensation step size n provided by the embodiment of the present application is preferably n∈[2,2h1T1]. Of course, those skilled in the art can choose the optimal forecast compensation step size n according to actual application conditions, so as to obtain an ideal control effect, which is not limited in this embodiment of the present application.

作为一种优选实施例,微分器的表达式为:As a preferred embodiment, the expression of the differentiator is:

其中,u为微分器的输入信号;u1为u的跟踪信号;u2为u1的微分信号;T2为微分器的积分步长;r2为微分器的速度因子;h2为微分器的滤波因子。Among them, u is the input signal of the differentiator; u1 is the tracking signal of u; u2 is the differential signal of u1; T2 is the integral step of the differentiator; r2 is the speed factor of the differentiator; h2 is the filter factor of the differentiator.

类似地,根据前文所述,本申请实施例中所提供的微分器同样可以选择为与自抗扰算法中的跟踪微分器相同的结构,则输出的u2即为需要得到的微分信号。Similarly, according to the foregoing, the differentiator provided in the embodiment of the present application can also be selected to have the same structure as the tracking differentiator in the ADRR algorithm, and the output u2 is the differential signal to be obtained.

需要注意的是,由于对于微分器,重点是利用其微分功能输出微分信号,因此无需过分追求快速性,以免影响微分信号的质量,造成噪声放大和波形失真,因此,这里的微分器与前文介绍的跟踪器不同,具体采用的是不进行预报补偿的跟踪微分器的结构,即预报补偿步长n=1。It should be noted that, as for the differentiator, the key point is to use its differential function to output the differential signal, so there is no need to pursue the rapidity too much, so as not to affect the quality of the differential signal, causing noise amplification and waveform distortion. Therefore, the differentiator here is the same as the previous introduction. The tracker is different, specifically adopts the structure of the tracking differentiator without forecast compensation, that is, the forecast compensation step size n=1.

作为一种优选实施例,T1=T2、h1=h2且r1=r2。As a preferred embodiment, T1=T2, h1=h2 and r1=r2.

具体地,本申请实施例中,跟踪器和微分器实际上需要对同一信号分别进行跟踪和微分,因此,除了预报补偿步长n这一参数不同外,跟踪器和微分器其余的对应的参数优选为一致,即两者的积分步长、速度因子和滤波因子分别相等。Specifically, in the embodiment of the present application, the tracker and the differentiator actually need to track and differentiate the same signal respectively. Therefore, except for the parameter of the forecast compensation step size n, the other corresponding parameters of the tracker and the differentiator It is preferably consistent, that is, the integral step size, speed factor and filter factor of the two are respectively equal.

当然,本领域技术人员也可以根据实际应用情况选择其他形式的微分器,例如采用正交混频法的微分器等,并可以自行选择并设置相关参数的具体取值,本申请实施例对此并不进行限定。Of course, those skilled in the art can also choose other forms of differentiators according to actual application conditions, such as differentiators using the quadrature mixing method, etc., and can choose and set the specific values of relevant parameters by themselves. Not limited.

作为一种优选实施例,模糊自整定PID控制算法为离散论域的模糊自整定PID控制算法。As a preferred embodiment, the fuzzy self-tuning PID control algorithm is a fuzzy self-tuning PID control algorithm of discrete domain.

具体地,采用离散论域的模糊自整定PID控制算法,可以有效地大量减少计算量,简化控制过程,提高控制效果。Specifically, using the fuzzy self-tuning PID control algorithm of the discrete universe can effectively reduce the amount of calculation, simplify the control process, and improve the control effect.

作为一种优选实施例,模糊自整定PID控制算法为二维模糊自整定PID控制算法。As a preferred embodiment, the fuzzy self-tuning PID control algorithm is a two-dimensional fuzzy self-tuning PID control algorithm.

具体地,本领域技术人员也可以在本申请实施例的技术上进一步求取误差二次微分信号,以进行三维的模糊自整定PID控制,但是其计算过程较为复杂。相比之下,采用二维结构的模糊自整定PID控制,得到的控制精度已足够满足一般的控制需求,不影响控制效果,同时又不会增加计算负担,因此使用更为广泛。Specifically, those skilled in the art can further obtain the error quadratic differential signal based on the technology of the embodiment of the present application to perform three-dimensional fuzzy self-tuning PID control, but the calculation process is relatively complicated. In contrast, the fuzzy self-tuning PID control with a two-dimensional structure can obtain control accuracy sufficient to meet general control requirements without affecting the control effect and increasing the computational burden, so it is more widely used.

作为一种优选实施例,根据自整定后的PID参数计算总控制量包括:As a preferred embodiment, calculating the total control quantity according to the PID parameters after self-tuning includes:

根据以下PID控制计算公式计算总控制量:Calculate the total control quantity according to the following PID control calculation formula:

其中,U(k+1)为k+1时刻的总控制量;Kp (k+1)、Ki (k+1)和Kd (k+1)均为k+1时刻的PID参数;e(i)为i时刻的误差跟踪信号;为k+1时刻的误差微分信号。Among them, U (k+1) is the total control quantity at k+1 time; K p (k+1) , K i (k+1) and K d (k+1) are all PID parameters at k+1 time ; e (i) is the error tracking signal of the i moment; is the error differential signal at time k+1.

具体地,本申请实施例所提供的模糊自整定PID控制方法,在进行总控制量的计算时,为了进一步消除积分的不利影响,将经典PID控制中的积分控制替换为了求和控制,可有效消除积分控制滞后问题,。Specifically, in the fuzzy self-tuning PID control method provided by the embodiment of the present application, in order to further eliminate the adverse effects of the integral when calculating the total control amount, the integral control in the classic PID control is replaced by the summation control, which can effectively Eliminate integral control lag problem,.

下面将结合具体的被控对象来介绍本申请实施例所提供的模糊自整定PID控制方法的一种应用实施例。An application embodiment of the fuzzy self-tuning PID control method provided by the embodiment of the present application will be introduced below in combination with a specific controlled object.

设被控对象为一个二阶系统,其传递函数为:Assuming that the controlled object is a second-order system, its transfer function is:

则按照如图2控制框图中所示的控制方法,对系统输入信号x和系统输出信号y分别进行跟踪和微分,得到系统输入信号x的第一跟踪信号x1和第一微分信号x2,以及系统输出信号y的第二跟踪信号y1和第二微分信号y2,进而作差得到误差跟踪信号e和误差微分信号输入至二维的离散域模糊自整定PID控制器,在进行了PID参数自整定之后输出总控制量U。Then, according to the control method shown in the control block diagram in Figure 2, the system input signal x and the system output signal y are respectively tracked and differentiated to obtain the first tracking signal x1 and the first differential signal x2 of the system input signal x, and the system The second tracking signal y1 and the second differential signal y2 of the output signal y, and then make a difference to obtain the error tracking signal e and the error differential signal It is input to the two-dimensional discrete domain fuzzy self-tuning PID controller, and the total control quantity U is output after the PID parameter self-tuning is performed.

在进行PID参数整定时,对误差跟踪信号e所具体设定的离散论域为[-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6],所具体设定的模糊子集为{NB(负大),NM(负中),NS(负小),NZ(负零),PZ(正零),PS(正小),PM(正中),PB(正大)},其中,各个模糊子集的隶属度函数如表1所示;对误差微分信号以及PID参数的微调变量ΔKp、ΔKi和ΔKd所具体设定的离散论域均为[-3,-2,-1,0,1,2,3],所具体设定的模糊子集均为{NB(负大),NM(负中),NS(负小),ZO(零),PS(正小),PM(正中),PB(正大)},误差微分信号微调变量ΔKp、ΔKi或者ΔKd的各个模糊子集的隶属度函数均如表2所示。When performing PID parameter tuning, the discrete universe specifically set for the error tracking signal e is [-6,-5,-4,-3,-2,-1,0,1,2,3,4, 5,6], the specifically set fuzzy subsets are {NB (negative large), NM (negative medium), NS (negative small), NZ (negative zero), PZ (positive zero), PS (positive small) , PM(center), PB(zhengda)}, where the membership function of each fuzzy subset is shown in Table 1; for the error differential signal As well as the fine-tuning variables ΔK p , ΔK i and ΔK d of the PID parameters, the specifically set discrete domains are [-3, -2, -1, 0, 1, 2, 3], and the specifically set fuzzy sub The sets are {NB (negative big), NM (negative middle), NS (negative small), ZO (zero), PS (positive small), PM (positive middle), PB (positive big)}, error differential signal The membership functions of each fuzzy subset of fine-tuning variables ΔK p , ΔK i or ΔK d are shown in Table 2.

表1Table 1

表2Table 2

在通过模糊控制来对三个PID参数进行自整定时,具体整定后得到的PID参数分别为:When the three PID parameters are self-tuned through fuzzy control, the PID parameters obtained after specific tuning are:

其中,Kp (k)、Ki (k)和Kd (k)均为k时刻的PID参数;微调变量ΔKp、ΔKi和ΔKd具体由误差跟踪信号e、误差微分信号以及对应的模糊整定规则表决定。表3、表4和表5分别为ΔKp、ΔKi和ΔKd的模糊整定规则表。Among them, K p (k) , K i (k) and K d (k) are all PID parameters at time k; the fine-tuning variables ΔK p , ΔK i and ΔK d are specifically determined by the error tracking signal e, the error differential signal And the corresponding fuzzy tuning rule table is determined. Table 3, Table 4 and Table 5 are the fuzzy tuning rule tables of ΔK p , ΔK i and ΔK d respectively.

表3table 3

表4Table 4

表5table 5

根据误差跟踪信号e和误差微分信号的隶属度函数表以及微调变量ΔKp的模糊整定规则表,可以得到微调变量ΔKp的具体控制表,如表6所示。According to the error tracking signal e and the error differential signal The membership function table of the fine-tuning variable ΔK p and the fuzzy tuning rule table of the fine-tuning variable ΔK p can get the specific control table of the fine-tuning variable ΔK p , as shown in Table 6.

表6Table 6

根据误差跟踪信号e和误差微分信号的隶属度函数表以及微调变量ΔKi的模糊整定规则表,可以得到微调变量ΔKi的具体控制表,如表7所示。According to the error tracking signal e and the error differential signal The membership function table of the fine-tuning variable ΔK i and the fuzzy tuning rule table of the fine-tuning variable ΔK i can get the specific control table of the fine-tuning variable ΔK i , as shown in Table 7.

表7Table 7

根据误差跟踪信号e和误差微分信号的隶属度函数表以及微调变量ΔKd的模糊整定规则表,可以得到微调变量ΔKd的具体控制表,如表8所示。According to the error tracking signal e and the error differential signal The membership function table of the fine-tuning variable ΔK d and the fuzzy tuning rule table of the fine-tuning variable ΔK d can get the specific control table of the fine-tuning variable ΔK d , as shown in Table 8.

表8Table 8

通过上述整定过程得到整定后的PID参数之后,即可根据前文所述的PID控制计算公式计算出输入至被控对象的总控制量U,以便对被控对象的系统输出信号y进行调节,达到控制目标。After obtaining the adjusted PID parameters through the above setting process, the total control quantity U input to the controlled object can be calculated according to the PID control calculation formula mentioned above, so as to adjust the system output signal y of the controlled object to achieve Control objectives.

若系统输入信号x为单位阶跃信号,如图3所示,则在本应用实施例中所得到的误差跟踪信号e和误差微分信号的波形图分别如图4和图5所示;而最终的系统输出信号y的波形图如图6所示。If the system input signal x is a unit step signal, as shown in Figure 3, the error tracking signal e and error differential signal obtained in this application example The waveform diagrams of are shown in Figure 4 and Figure 5 respectively; and the waveform diagram of the final system output signal y is shown in Figure 6.

从图4至图6可知,本申请实施例所得到的误差跟踪信号e和误差微分信号的曲线光滑,信号质量较好;而系统输出信号y也同样光滑且无超调,控制效果较好。It can be seen from Fig. 4 to Fig. 6 that the error tracking signal e and error differential signal obtained in the embodiment of the present application The curve of is smooth, and the signal quality is better; while the system output signal y is also smooth and has no overshoot, and the control effect is better.

若系统输入信号x为带有白噪声的单位阶跃信号,如图7所示,则在本应用实施例中所得到的误差跟踪信号e和误差微分信号的波形图分别如图8和图9所示;而最终的系统输出信号y的波形图如图10所示。If the system input signal x is a unit step signal with white noise, as shown in Figure 7, the error tracking signal e and error differential signal obtained in this application example The waveform diagrams of are shown in Figure 8 and Figure 9 respectively; and the waveform diagram of the final system output signal y is shown in Figure 10.

从图7至图10可知,本申请实施例所得到的误差跟踪信号e和误差微分信号在系统输入信号x存在有严重的噪声干扰时,依旧可以得到较为光滑的曲线,具有较好的滤波作用和抑噪能力;因而同时也使得系统输出信号y也同样光滑且无超调,具有较好的控制效果。It can be seen from Fig. 7 to Fig. 10 that the error tracking signal e and the error differential signal obtained in the embodiment of the present application When there is serious noise interference in the system input signal x, a relatively smooth curve can still be obtained, which has better filtering effect and noise suppression ability; thus, the system output signal y is also smooth and has no overshoot at the same time, and has a relatively smooth curve. Good control effect.

下面对本申请实施例所提供的模糊自整定PID控制系统进行介绍。The fuzzy self-tuning PID control system provided by the embodiment of the present application is introduced below.

请参阅图11,图11为本申请所提供的一种模糊自整定PID控制系统的结构框图;包括跟踪器1、微分器2、模糊自整定PID控制器3和被控对象4;Please refer to Figure 11, Figure 11 is a structural block diagram of a fuzzy self-tuning PID control system provided by the present application; including a tracker 1, a differentiator 2, a fuzzy self-tuning PID controller 3 and a controlled object 4;

跟踪器1用于获取误差跟踪信号;Tracker 1 is used to obtain error tracking signal;

微分器2用于获取误差微分信号;跟踪器1和微分器2相互独立;Differentiator 2 is used to obtain the error differential signal; tracker 1 and differentiator 2 are independent of each other;

模糊自整定PID控制器3用于采用模糊自整定PID算法,根据误差跟踪信号和误差微分信号进行PID参数自整定;根据自整定后的PID参数计算总控制量,并输出至被控对象4,以便对被控对象进行调节控制。The fuzzy self-tuning PID controller 3 is used to adopt the fuzzy self-tuning PID algorithm, and perform PID parameter self-tuning according to the error tracking signal and the error differential signal; calculate the total control quantity according to the PID parameters after self-tuning, and output it to the controlled object 4, In order to regulate and control the controlled object.

可见,本申请所提供的模糊自整定PID控制系统,采用相互独立的跟踪器1和微分器2来分别获取误差跟踪信号和误差微分信号,从而可以通过合理设置跟踪器1和微分器2各自的相关参数,来分别获取性能较好的误差跟踪信号和误差微分信号,避免了进行信号跟踪时的相位延迟问题与进行信号微分时的噪声放大、波形失真问题之间的矛盾,进而有效提高系统的整体控制效果。It can be seen that the fuzzy self-tuning PID control system provided by the present application uses independent tracker 1 and differentiator 2 to obtain the error tracking signal and error differential signal respectively, so that the respective Relevant parameters are used to obtain error tracking signals and error differential signals with better performance, which avoids the contradiction between the phase delay problem during signal tracking and the noise amplification and waveform distortion problems during signal differentiation, thereby effectively improving the system performance. overall control effect.

本申请所提供的模糊自整定PID控制系统的具体实施方式与上文所描述的模糊自整定PID控制方法可相互对应参照,这里就不再赘述。The specific implementation manners of the fuzzy self-tuning PID control system provided in this application and the fuzzy self-tuning PID control method described above can be referred to in correspondence with each other, and will not be repeated here.

本申请中各个实施例采用递进的方式描述,每个实施例重点说明的都是与其他实施例的不同之处,各个实施例之间相同相似部分互相参见即可。对于实施例公开的系统而言,由于其与实施例公开的方法相对应,所以描述的比较简单,相关之处参见方法部分说明即可。Each embodiment in the present application is described in a progressive manner, each embodiment focuses on the differences from other embodiments, and the same and similar parts of the various embodiments can be referred to each other. As for the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and for the related information, please refer to the description of the method part.

还需说明的是,在本申请文件中,诸如“第一”和“第二”之类的关系术语,仅仅用来将一个实体或者操作与另一个实体或者操作区分开来,而不一定要求或者暗示这些实体或者操作之间存在任何这种实际的关系或者顺序。此外,术语“包括”、“包含”或者其任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的过程、方法、物品或者设备不仅包括那些要素,而且还包括没有明确列出的其他要素,或者是还包括为这种过程、方法、物品或者设备所固有的要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括所述要素的过程、方法、物品或者设备中还存在另外的相同要素。It should also be noted that in this application, relative terms such as "first" and "second" are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between such entities or operations. Furthermore, the term "comprises", "comprises" or any other variation thereof is intended to cover a non-exclusive inclusion such that a process, method, article or apparatus comprising a set of elements includes not only those elements, but also includes elements not expressly listed. other elements of or also include elements inherent in such a process, method, article, or device. Without further limitations, an element defined by the phrase "comprising a ..." does not exclude the presence of additional identical elements in the process, method, article or apparatus comprising said element.

以上对本申请所提供的技术方案进行了详细介绍。本文中应用了具体个例对本申请的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本申请的方法及其核心思想。应当指出,对于本技术领域的普通技术人员来说,在不脱离本申请原理的前提下,还可以对本申请进行若干改进和修饰,这些改进和修饰也落入本申请权利要求的保护范围内。The technical solution provided by the present application has been introduced in detail above. In this paper, specific examples are used to illustrate the principles and implementation methods of the present application, and the descriptions of the above embodiments are only used to help understand the methods and core ideas of the present application. It should be pointed out that those skilled in the art can make some improvements and modifications to the application without departing from the principles of the application, and these improvements and modifications also fall within the protection scope of the claims of the application.

Claims (10)

1.一种模糊自整定PID控制方法,其特征在于,包括:1. A fuzzy self-tuning PID control method is characterized in that, comprising: 分别利用跟踪器和微分器获取误差跟踪信号和误差微分信号;所述跟踪器和所述微分器相互独立;Using a tracker and a differentiator to obtain an error tracking signal and an error differential signal respectively; the tracker and the differentiator are independent of each other; 采用模糊自整定PID算法,根据所述误差跟踪信号和所述误差微分信号进行PID参数自整定,根据自整定后的PID参数计算总控制量,并输出至被控对象,以便对所述被控对象进行调节控制。Adopt fuzzy self-tuning PID algorithm, perform PID parameter self-tuning according to the error tracking signal and the error differential signal, calculate the total control amount according to the PID parameter after self-tuning, and output it to the controlled object, so as to control the controlled object Objects are regulated and controlled. 2.根据权利要求1所述的模糊自整定PID控制方法,其特征在于,所述分别利用跟踪器和微分器获取误差跟踪信号和误差微分信号包括:2. fuzzy self-tuning PID control method according to claim 1, is characterized in that, described respectively utilizing tracker and differentiator to obtain error tracking signal and error differential signal comprises: 分别利用第一跟踪器和第二跟踪器获取系统输入信号的第一跟踪信号和系统输出信号的第二跟踪信号;分别利用第一微分器和第二微分器获取所述系统输入信号的第一微分信号和所述系统输出信号的第二微分信号;Using the first tracker and the second tracker to obtain the first tracking signal of the system input signal and the second tracking signal of the system output signal respectively; using the first differentiator and the second differentiator to obtain the first tracking signal of the system input signal a differential signal and a second differential signal of the system output signal; 将所述第一跟踪信号与所述第二跟踪信号之差作为所述误差跟踪信号;将所述第一微分信号与所述第二微分信号之差作为所述误差微分信号。The difference between the first tracking signal and the second tracking signal is used as the error tracking signal; the difference between the first differential signal and the second differential signal is used as the error differential signal. 3.根据权利要求1所述的模糊自整定PID控制方法,其特征在于,所述跟踪器的表达式为:3. fuzzy self-tuning PID control method according to claim 1, is characterized in that, the expression of described tracker is: 其中,v为所述跟踪器的输入信号;v1为v的跟踪信号;v2为v1的微分信号;T1为所述跟踪器的积分步长;r1为所述跟踪器的速度因子;h1为所述跟踪器的滤波因子;n为预报补偿步长,n>1。Among them, v is the input signal of the tracker; v1 is the tracking signal of v; v2 is the differential signal of v1; T1 is the integration step of the tracker; r1 is the speed factor of the tracker; The filter factor of the above-mentioned tracker; n is the forecast compensation step size, n>1. 4.根据权利要求3所述的模糊自整定PID控制方法,其特征在于,n∈[2,2h 1/T 1]。4. The fuzzy self-tuning PID control method according to claim 3, characterized in that n∈[2,2h 1/T 1]. 5.根据权利要求3所述的模糊自整定PID控制方法,其特征在于,所述微分器的表达式为:5. fuzzy self-tuning PID control method according to claim 3, is characterized in that, the expression of described differentiator is: 其中,u为所述微分器的输入信号;u1为u的跟踪信号;u2为u1的微分信号;T2为所述微分器的积分步长;r2为所述微分器的速度因子;h2为所述微分器的滤波因子。Among them, u is the input signal of the differentiator; u1 is the tracking signal of u; u2 is the differential signal of u1; T2 is the integration step of the differentiator; r2 is the speed factor of the differentiator; filter factor of the differentiator. 6.根据权利要求5所述的模糊自整定PID控制方法,其特征在于,T1=T2、h1=h2且r1=r2。6. The fuzzy self-tuning PID control method according to claim 5, characterized in that T1=T2, h1=h2 and r1=r2. 7.根据权利要求5所述的模糊自整定PID控制方法,其特征在于,所述模糊自整定PID控制算法为离散论域的模糊自整定PID控制算法。7. The fuzzy self-tuning PID control method according to claim 5, characterized in that, the fuzzy self-tuning PID control algorithm is a fuzzy self-tuning PID control algorithm of discrete universe. 8.根据权利要求7所述的模糊自整定PID控制方法,其特征在于,所述模糊自整定PID控制算法为二维模糊自整定PID控制算法。8. The fuzzy self-tuning PID control method according to claim 7, wherein the fuzzy self-tuning PID control algorithm is a two-dimensional fuzzy self-tuning PID control algorithm. 9.根据权利要求1至8任一项所述的模糊自整定PID控制方法,其特征在于,所述根据自整定后的PID参数计算总控制量包括:9. according to the fuzzy self-tuning PID control method described in any one of claims 1 to 8, it is characterized in that, the PID parameter calculation total control quantity according to the described self-tuning comprises: 根据以下PID控制计算公式计算所述总控制量:Calculate the total control quantity according to the following PID control calculation formula: 其中,U(k+1)为k+1时刻的总控制量;Kp (k+1)、Ki (k+1)和Kd (k+1)均为k+1时刻的所述PID参数;e(i)为i时刻的所述误差跟踪信号;为k+1时刻的所述误差微分信号。Among them, U (k+1) is the total control quantity at k+1 moment; K p (k+1) , K i (k+1) and K d (k+1) are all the above-mentioned PID parameters; e (i) is the error tracking signal at the moment of i; is the error differential signal at time k+1. 10.一种模糊自整定PID控制系统,其特征在于,包括:10. A fuzzy self-tuning PID control system, characterized in that, comprising: 跟踪器:用于获取误差跟踪信号;Tracker: used to obtain error tracking signal; 微分器:用于获取误差微分信号;所述跟踪器和所述微分器相互独立;A differentiator: used to obtain an error differential signal; the tracker and the differentiator are independent of each other; 模糊自整定PID控制器:用于采用模糊自整定PID算法,根据所述误差跟踪信号和所述误差微分信号进行PID参数自整定;根据自整定后的PID参数计算总控制量,并输出至被控对象,以便对所述被控对象进行调节控制。Fuzzy self-tuning PID controller: used for adopting fuzzy self-tuning PID algorithm, performing PID parameter self-tuning according to the error tracking signal and the error differential signal; calculating the total control amount according to the PID parameter after self-tuning, and outputting it to the controlled object, so as to regulate and control the controlled object.
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Cited By (5)

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CN109634336A (en) * 2018-11-07 2019-04-16 广东核电合营有限公司 A kind of differential summing circuit and electrical equipment
CN110147129A (en) * 2019-05-16 2019-08-20 湖北问天软件系统有限公司 The adaptive temperature controller and control method of baking tray
CN111965971A (en) * 2020-08-21 2020-11-20 北京石油化工学院 Expert control system creating method and device
CN112346334A (en) * 2019-08-06 2021-02-09 北京东土科技股份有限公司 Configuration method, device and equipment of fuzzy control parameters and storage medium
CN112436571A (en) * 2020-11-12 2021-03-02 中国海洋大学 Charging control method, device and system based on fuzzy self-adaptive PID control

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109634336A (en) * 2018-11-07 2019-04-16 广东核电合营有限公司 A kind of differential summing circuit and electrical equipment
CN110147129A (en) * 2019-05-16 2019-08-20 湖北问天软件系统有限公司 The adaptive temperature controller and control method of baking tray
CN112346334A (en) * 2019-08-06 2021-02-09 北京东土科技股份有限公司 Configuration method, device and equipment of fuzzy control parameters and storage medium
CN111965971A (en) * 2020-08-21 2020-11-20 北京石油化工学院 Expert control system creating method and device
CN112436571A (en) * 2020-11-12 2021-03-02 中国海洋大学 Charging control method, device and system based on fuzzy self-adaptive PID control

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