CN107061032A - The Forecasting Methodology and forecasting system of a kind of engine operating state - Google Patents

The Forecasting Methodology and forecasting system of a kind of engine operating state Download PDF

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Publication number
CN107061032A
CN107061032A CN201710379976.8A CN201710379976A CN107061032A CN 107061032 A CN107061032 A CN 107061032A CN 201710379976 A CN201710379976 A CN 201710379976A CN 107061032 A CN107061032 A CN 107061032A
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China
Prior art keywords
engine
mrow
operating state
throttle opening
atmospheric pressure
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CN107061032B (en
Inventor
谭力宁
金国栋
芦利斌
沈涛
李建波
朱晓菲
李义红
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Rocket Force University of Engineering of PLA
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Rocket Force University of Engineering of PLA
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F02COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
    • F02DCONTROLLING COMBUSTION ENGINES
    • F02D41/00Electrical control of supply of combustible mixture or its constituents
    • F02D41/02Circuit arrangements for generating control signals
    • F02D41/14Introducing closed-loop corrections
    • F02D41/1401Introducing closed-loop corrections characterised by the control or regulation method
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F02COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
    • F02DCONTROLLING COMBUSTION ENGINES
    • F02D29/00Controlling engines, such controlling being peculiar to the devices driven thereby, the devices being other than parts or accessories essential to engine operation, e.g. controlling of engines by signals external thereto
    • F02D29/02Controlling engines, such controlling being peculiar to the devices driven thereby, the devices being other than parts or accessories essential to engine operation, e.g. controlling of engines by signals external thereto peculiar to engines driving vehicles; peculiar to engines driving variable pitch propellers
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F02COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
    • F02DCONTROLLING COMBUSTION ENGINES
    • F02D41/00Electrical control of supply of combustible mixture or its constituents
    • F02D41/02Circuit arrangements for generating control signals
    • F02D41/14Introducing closed-loop corrections
    • F02D41/1401Introducing closed-loop corrections characterised by the control or regulation method
    • F02D2041/1433Introducing closed-loop corrections characterised by the control or regulation method using a model or simulation of the system
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F02COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
    • F02DCONTROLLING COMBUSTION ENGINES
    • F02D41/00Electrical control of supply of combustible mixture or its constituents
    • F02D41/02Circuit arrangements for generating control signals
    • F02D41/14Introducing closed-loop corrections
    • F02D41/1401Introducing closed-loop corrections characterised by the control or regulation method
    • F02D2041/1433Introducing closed-loop corrections characterised by the control or regulation method using a model or simulation of the system
    • F02D2041/1437Simulation

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  • Engineering & Computer Science (AREA)
  • Chemical & Material Sciences (AREA)
  • Combustion & Propulsion (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Combined Controls Of Internal Combustion Engines (AREA)

Abstract

The present invention discloses a kind of method and system for predicting engine operating state, and method includes:The non-linear order and memory span of each factor of influence are determined according to the height above sea level of the spindle adjustment value of engine and working environment, factor of influence includes:Throttle opening, atmospheric pressure and atmospheric temperature;The nonlinear model of engine is determined according to non-linear order and memory span;Enter row energization to engine, the sample data of the rotating speed of throttle opening, atmospheric pressure, atmospheric temperature and engine is gathered respectively;The object module of engine is determined according to sample data and nonlinear model, the running status for predicting engine.The present invention is directed to piston-engined nonlinear characteristic, the nonlinear model of real system can accurately be reacted by employing, establish using throttle opening, atmospheric pressure and atmospheric temperature as input, using the rotating speed of engine as the nonlinear object module of multiple input single output of output, the running status of engine can be accurately predicted.

Description

The Forecasting Methodology and forecasting system of a kind of engine operating state
Technical field
The present invention relates to the Forecasting Methodology and forecasting system of engine art, more particularly to engine operating state.
Background technology
With the fast development of modern science and technology, unmanned plane becomes " favorite " of science and technology in recent years, in the military and people With etc. multiple fields favored by people.Miniature self-service power plants are the core apparatus of all kinds of UASs, are being related to And the research such as the total system of unmanned plane and subsystem emulation, Control System Design, state of flight prediction and safe condition detection and In, it is required for carrying out accurate modeling to miniature self-service power plants.
Current SUAV generally uses piston aviation engine with constant pitch airscrew as power set.It is existing Method to it when being modeled, generally using the method for linear modelling.Concretely comprise the following steps:1) set up with engine throttle opening For input, engine speed is the single-input single-output linear model of output;2) collection engine throttle opening and engine turn The experimental data of speed;3) using experimental data using least square method to step 1) in set up linear model be fitted, obtain To the mathematical modeling of power set.
Because piston engine is a natural nonlinear system, linear model can not accurately describe piston engine in itself The dynamic property of machine, and model of the prior art is that, using engine throttle opening as input, engine speed is output Single-input single-output system, and the actually working condition of engine is also influenceed by key elements such as atmospheric pressure, atmospheric temperatures, Especially flight in the air when, the change of atmospheric pressure has more significant influence to piston engine, therefore, using existing skill The mathematical modeling precision for the power set that art is set up is relatively low, it is impossible to the running status of Accurate Prediction engine.
Therefore, how to provide it is a kind of can accurately predict the method and system of engine operating state, as this area skill The technical problem of art personnel's urgent need to resolve.
The content of the invention
It is an object of the invention to provide a kind of method for predicting engine operating state, the fortune of engine can be accurately predicted Row state.
To achieve the above object, the invention provides following scheme:
A kind of method for predicting engine operating state, methods described includes:
The non-linear order of each factor of influence is determined according to the height above sea level of the spindle adjustment value of engine and working environment And memory span, wherein, the factor of influence includes:Throttle opening, atmospheric pressure and atmospheric temperature;
The nonlinear model of the engine is determined according to the non-linear order and memory span;
Row energization is entered to the engine, gather respectively the throttle opening, the atmospheric pressure, the atmospheric temperature and The sample data of the rotating speed of the engine;
The object module of the engine is determined according to the sample data and the nonlinear model, it is described for predicting The running status of engine.
Optionally, row energization is entered to the engine using random multi-tone signal, the function of the random multi-tone signal is:
Wherein, s (t) is random multi-tone signal, and t is time variable, A0For the average of excitation amplitude, fmaxIt is intended to encourage Peak frequency, K is the frequency dividing quantity of the peak frequency to be encouraged, Ak′For the random change of independent identically distributed excitation amplitude Amount,For obey [0,2 π) on equally distributed random phase.
Optionally, the nonlinear model is:
Wherein, y (t) represents the rotating speed of the engine, and u (t) represents input vector, u (t)=(u1(t) u2(t) u3 (t))T, u1(t) throttle opening, u are represented2(t) atmospheric pressure, u are represented3(t) atmospheric temperature is represented, t is represented Time variable, gn(τ) represents the nonlinear response function of model, and m represents the memory span, and p represents the non-linear order.
Optionally, the object module of the engine is determined using batch processing identification algorithm under line.
The present invention also aims to provide a kind of system for predicting engine operating state, engine can be accurately predicted Running status.
To achieve the above object, the invention provides following scheme:
A kind of system for predicting engine operating state, the system includes:
Parameter determination module, each influence is determined for the spindle adjustment value and the height above sea level of working environment according to engine The non-linear order and memory span of the factor, wherein, the factor of influence includes:Throttle opening, atmospheric pressure and atmospheric temperature;
Nonlinear model module, for determining the non-linear of the engine according to the non-linear order and memory span Model;
Sample data module, for entering row energization to the engine, gathers the throttle opening, the atmospheric pressure respectively The sample data of the rotating speed of power, the atmospheric temperature and the engine;
Object module determining module, for determining the engine according to the sample data and the nonlinear model Object module, the running status for predicting the engine.
Optionally, the sample data module enters row energization to the engine using random multi-tone signal, described random The function of multi-tone signal is:
Wherein, s (t) is random multi-tone signal, and t is time variable, A0For the average of excitation amplitude, fmaxIt is intended to encourage Peak frequency, K is the frequency dividing quantity of the peak frequency to be encouraged, Ak′For the random change of independent identically distributed excitation amplitude Amount,For obey [0,2 π) on equally distributed random phase.
Optionally, the nonlinear model of the nonlinear model module determination is:
Wherein, y (t) represents the rotating speed of the engine, and u (t) represents input vector, u (t)=(u1(t) u2(t) u3 (t))T, u1(t) throttle opening, u are represented2(t) atmospheric pressure, u are represented3(t) atmospheric temperature is represented, t is represented Time variable, gn(τ) represents the nonlinear response function of model, and m represents the memory span, and p represents the non-linear order.
Optionally, the object module determining module determines the target of the engine using batch processing identification algorithm under line Model.
The specific embodiment provided according to the present invention, the invention discloses following technique effect:
The method and system for the prediction engine operating state that the present invention is provided, for piston-engined non-linear spy Property, the nonlinear model of real system can accurately be reacted by employing, and be established with throttle opening, atmospheric pressure and atmospheric temperature For input, using the rotating speed of engine as the nonlinear object module of multiple input single output of output, the precision of object module is high, because This, can accurately predict the running status of engine.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, below will be to institute in embodiment The accompanying drawing needed to use is briefly described, it should be apparent that, drawings in the following description are only some implementations of the present invention Example, for those of ordinary skill in the art, on the premise of not paying creative work, can also be obtained according to these accompanying drawings Obtain other accompanying drawings.
Fig. 1 is the flow chart of the embodiment of the present invention 1;
Fig. 2 is the structured flowchart of the embodiment of the present invention 2;
Fig. 3 is the structure chart of the multiple input single output nonlinear model of the embodiment of the present invention 3;
Fig. 4 is the time domain and frequency domain characteristic figure of the random multi-tone signal of the embodiment of the present invention 3.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete Site preparation is described, it is clear that described embodiment is only a part of embodiment of the invention, rather than whole embodiments.It is based on Embodiment in the present invention, it is every other that those of ordinary skill in the art are obtained under the premise of creative work is not made Embodiment, belongs to the scope of protection of the invention.
It is an object of the invention to provide a kind of method and system for predicting engine operating state, it can accurately predict and start The running status of machine.
In order to facilitate the understanding of the purposes, features and advantages of the present invention, it is below in conjunction with the accompanying drawings and specific real Applying mode, the present invention is further detailed explanation.
Embodiment 1:
As shown in figure 1, the method for prediction engine operating state includes:
Step 11:The non-thread of each factor of influence is determined according to the height above sea level of the spindle adjustment value of engine and working environment Property order and memory span, wherein, factor of influence includes:Throttle opening, atmospheric pressure and atmospheric temperature;
Step 12:The nonlinear model of engine is determined according to non-linear order and memory span;
Step 13:Enter row energization to engine, throttle opening, atmospheric pressure, atmospheric temperature and engine are gathered respectively The sample data of rotating speed;
Step 14:The object module of engine is determined according to sample data and nonlinear model, for predicting engine Running status.
Specifically, step 12:It is according to the nonlinear model of non-linear order and the engine of memory span determination:
Wherein, y (t) represents the rotating speed of the engine, and u (t) represents input vector, u (t)=(u1(t) u2(t) u3 (t))T, u1(t) throttle opening, u are represented2(t) atmospheric pressure, u are represented3(t) atmospheric temperature is represented, t is represented Time variable, gn(τ) represents the nonlinear response function of model, and m represents the memory span, and p represents the non-linear order.
Row energization is entered to engine using random multi-tone signal in step 13, the function of random multi-tone signal is:
Wherein, s (t) is random multi-tone signal, and t is time variable, A0For the average of excitation amplitude, fmaxIt is intended to encourage Peak frequency, K is the frequency dividing quantity of the peak frequency to be encouraged, Ak′For the random change of independent identically distributed excitation amplitude Amount,For obey [0,2 π) on equally distributed random phase.
The object module of engine is determined in step 14 using batch processing identification algorithm under line.
The problem of existing for existing linear modeling approach, the present invention use with engine throttle opening, atmospheric pressure, greatly Temperature degree is input, and engine speed is built for the multiple input single output nonlinear model of output to the dynamic characteristic of engine Mould, improves the precision of engine mockup, establishes unmanned plane dynamical system model more more accurate than conventional linear method.
The nonlinear model for the engine that the present invention is provided, cannot be only used for replacing traditional in unmanned plane analogue system move Force system model, can significantly improve the fidelity of analogue system, and support is provided for unmanned plane emulation;And can be real-time online The to-be of unmanned plane dynamical system is predicted, the on-line prediction of the following state of flight of unmanned plane is realized, and then reached to nobody Machine safe condition is monitored in real time, and the purpose of anticipation is carried out to following flight risk, is state of flight prediction and the safety of unmanned plane Condition monitoring provides support;Can also according to control instruction Accurate Prediction engine speed so that be accurately controlled power and Control moment, can reduce the iterations of Control System Design, improve the design efficiency of control system.
Embodiment 2:
As shown in Fig. 2 a kind of system for predicting engine operating state includes:
Parameter determination module 21, each shadow is determined for the spindle adjustment value and the height above sea level of working environment according to engine The non-linear order and memory span of the factor are rung, wherein, factor of influence includes:Throttle opening, atmospheric pressure and atmospheric temperature;
Nonlinear model module 22, the nonlinear model for determining engine according to non-linear order and memory span;
Sample data module 23, for entering row energization to engine, gathers throttle opening, atmospheric pressure, big temperature respectively The sample data of the rotating speed of degree and engine;
Object module determining module 24, the object module for determining engine according to sample data and nonlinear model, Running status for predicting engine.
Specifically, the nonlinear model of the determination of nonlinear model module 22 is:
Wherein, y (t) represents the rotating speed of the engine, and u (t) represents input vector, u (t)=(u1(t) u2(t) u3 (t))T, u1(t) throttle opening, u are represented2(t) atmospheric pressure, u are represented3(t) atmospheric temperature is represented, t is represented Time variable, gn(τ) represents the nonlinear response function of model, and m represents the memory span, and p represents the non-linear order.
Sample data module 23 enters row energization to engine using random multi-tone signal, and the function of random multi-tone signal is:
Wherein, s (t) is random multi-tone signal, and t is time variable, A0For the average of excitation amplitude, fmaxIt is intended to encourage Peak frequency, K is the frequency dividing quantity of the peak frequency to be encouraged, Ak′For the random change of independent identically distributed excitation amplitude Amount,For obey [0,2 π) on equally distributed random phase.
Object module determining module 24 determines the object module of engine using batch processing identification algorithm under line.
The present invention proposes the non-linear modeling method of multiple input single output Hammerstein series models, the present embodiment The multiple input single output nonlinear model of miniature self-service power plants is established using this method.According to the power set set up Model, devises System Discrimination algorithm and the multiple input single output nonlinear model shape parameter is recognized, whole identification process can To descend batch processing to complete online.The miniature self-service power plants nonlinear model that the present invention is provided has higher simulation essence Degree, can accurately predict the running status of engine.
Embodiment 3:The method of prediction engine operating state includes:
Step 31:The non-thread of each factor of influence is determined according to the height above sea level of the spindle adjustment value of engine and working environment Property order and memory span, wherein, factor of influence includes:Throttle opening, atmospheric pressure and atmospheric temperature:
Engine throttle opening, atmospheric pressure, the respective non-linear order of three variables of atmospheric temperature and memory span are 1 Selected between~3.
If engine operating altitude is below ten thousand metres, the non-linear order of atmospheric pressure and atmospheric temperature may be selected For 2, memory span selection is 1;If being operated in more than height above sea level ten thousand metres, the non-linear order of atmospheric pressure and atmospheric temperature 2 are may be selected to be, memory span selection is 2.
The non-linear order and memory span of engine throttle opening are related to the factor such as engine model and spindle adjustment, Therefore generally starting selection is non-linear order 2, memory span 2.If final mask precision meets demand, it can reduce non-linear Order and memory span, it is on the contrary then increase non-linear order and memory span.Target is that the model for making foundation is meeting demand essence There is the non-linear order and memory span of minimum in the case of degree.
Step 32:The nonlinear model of engine is determined according to non-linear order and memory span:
The nonlinear model of following form is referred to as Hammerstein series models by the present invention:
Wherein, u (t) is mode input vector, and y (t) is model output vector, function gn(τ) is the non-linear sound of model Answer function, n=1,2 ....
As shown in figure 3, non-linear order and memory span that step 31 determines the model are carried out, according to non-linear order Determined with the memory span, nonlinear model based on Hammerstein series models is as follows:
Wherein, wherein, y (t) represents the rotating speed of engine, is scalar, and unit is Radian per second, u (t) represent input to Amount, u (t)=(u1(t) u2(t) u3(t))T, u1(t) throttle opening is represented, unit is fractional value, u2(t) atmospheric pressure is represented, Unit is Pascal, u3(t) atmospheric temperature is represented, unit is Kelvin, and t represents time variable, gn(τ) represents the non-thread of model Property receptance function, m represents memory span, and p represents non-linear order.
Step 33:Enter row energization to engine, throttle opening, atmospheric pressure, atmospheric temperature and engine are gathered respectively The sample data of rotating speed:
The random multi-tone signal that the present embodiment is used can encourage the various characteristics of mode for being identified object comprehensively, be a kind of Ideal identification pumping signal.Time domain and frequency domain characteristic such as Fig. 4 of machine multi-tone signal (a) are partly and (b) part is shown, The function of random multi-tone signal is as follows:
Wherein, s (t) is random multi-tone signal, and t is time variable, A0For the average of excitation amplitude, fmaxIt is intended to encourage Peak frequency, K is the frequency dividing quantity of the peak frequency to be encouraged, Ak′For the random change of independent identically distributed excitation amplitude Amount,For obey [0,2 π) on equally distributed random phase.
Step 34:The object module of engine is determined according to sample data and nonlinear model, for predicting engine Running status:
The present embodiment determines the object module of engine, multiple input single output using batch processing identification algorithm under line Hammerstein series model identification algorithms comprise the following steps:
After experiment sample data are obtained, parameter identification is carried out to object module.Write object module as matrix form such as Shown in lower:
Y=Φ θ (4)
Wherein, Y is the data vector of the engine speed of collection, and θ is the model parameter matrix to be recognized, and Φ is collection The data matrix of factor of influence, is defined as follows:
Φ=(X1 X2 ... Xp) (5)
Wherein, XkFor the non-linear excitation matrix of the sample data formation of the factor of influence of collection, k=1,2,3..., p tools Body is defined as follows:
Wherein, N represents that the model parameter matrix θ to be recognized in sample data number, formula (4) is defined as follows:
θ=(g1 g2 ... gp)T (7)
Wherein gkFor the nonlinear parameter vector of different orders, gkIt is defined as follows:
gk=(gk(0) gk(1) ... gk(m))T (8)
Therefore it can obtain being intended to the least-squares estimation of identification model parameter matrix according to formula (4)
Above-mentioned discrimination method can construct input data matrix according to formula (5)~(6) successively after sample data is obtained, Formula (9) is utilized to be that can obtain the least-squares estimation of desire identification model parameter matrix then in conjunction with output data vector, so that Determine the nonlinear response function g of modeln(τ), and then determine the multiple input single output nonlinear model of engine.
The miniature self-service power plants modeling method that the present invention is provided employs the nonlinear model closer to real system Type, and take into account except conventional control amount --- in addition to engine throttle opening, influence larger environment to become engine condition Amount:Engine work atmospheric pressure and atmospheric temperature, be combined using multiple input single output Hammerstein model come The multiple input single output nonlinear model of miniature self-service power plants is set up, with traditional based on the linear mould of single-input single-output The Forecasting Methodology of type is compared, with higher precision of prediction.
The embodiment of each in this specification is described by the way of progressive, and what each embodiment was stressed is and other Between the difference of embodiment, each embodiment identical similar portion mutually referring to.For system disclosed in embodiment For, because it is corresponded to the method disclosed in Example, so description is fairly simple, related part is said referring to method part It is bright.
Specific case used herein is set forth to the principle and embodiment of the present invention, and above example is said The bright method and its core concept for being only intended to help to understand the present invention;Simultaneously for those of ordinary skill in the art, foundation The thought of the present invention, will change in specific embodiments and applications.In summary, this specification content is not It is interpreted as limitation of the present invention.

Claims (8)

1. a kind of method for predicting engine operating state, it is characterised in that methods described includes:
The non-linear order and note of each factor of influence are determined according to the height above sea level of the spindle adjustment value of engine and working environment Recall length, wherein, the factor of influence includes:Throttle opening, atmospheric pressure and atmospheric temperature;
The nonlinear model of the engine is determined according to the non-linear order and memory span;
Row energization is entered to the engine, the throttle opening, the atmospheric pressure, the atmospheric temperature and described are gathered respectively The sample data of the rotating speed of engine;
The object module of the engine is determined according to the sample data and the nonlinear model, for predicting described start The running status of machine.
2. the method for prediction engine operating state according to claim 1, it is characterised in that use random multi-tone signal Enter row energization to the engine, the function of the random multi-tone signal is:
Wherein, s (t) is random multi-tone signal, and t is time variable, A0For the average of excitation amplitude, fmaxFor the maximum frequency to be encouraged Rate, K is the frequency dividing quantity of the peak frequency to be encouraged, Ak′For the stochastic variable of independent identically distributed excitation amplitude,For Obey [0,2 π) on equally distributed random phase.
3. the method for prediction engine operating state according to claim 1, it is characterised in that the nonlinear model For:
<mrow> <mi>y</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>p</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>&amp;tau;</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>g</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;tau;</mi> <mo>)</mo> </mrow> <mi>u</mi> <msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mi>&amp;tau;</mi> <mo>)</mo> </mrow> <mi>n</mi> </msup> <mo>,</mo> </mrow>
Wherein, y (t) represents the rotating speed of the engine, and u (t) represents input vector, u (t)=(u1(t) u2(t) u3(t))T, u1(t) throttle opening, u are represented2(t) atmospheric pressure, u are represented3(t) atmospheric temperature, anaplasia when t is represented are represented Amount, gn(τ) represents the nonlinear response function of model, and m represents the memory span, and p represents the non-linear order.
4. the method for prediction engine operating state according to claim 1, it is characterised in that distinguished using batch processing under line Know the object module that algorithm determines the engine.
5. a kind of system for predicting engine operating state, it is characterised in that the system includes:
Parameter determination module, each factor of influence is determined for the spindle adjustment value and the height above sea level of working environment according to engine Non-linear order and memory span, wherein, the factor of influence includes:Throttle opening, atmospheric pressure and atmospheric temperature;
Nonlinear model module, the nonlinear model for determining the engine according to the non-linear order and memory span Type;
Sample data module, for entering row energization to the engine, gather respectively the throttle opening, the atmospheric pressure, The sample data of the rotating speed of the atmospheric temperature and the engine;
Object module determining module, the target for determining the engine according to the sample data and the nonlinear model Model, the running status for predicting the engine.
6. the system of prediction engine operating state according to claim 5, it is characterised in that the sample data module Row energization is entered to the engine using random multi-tone signal, the function of the random multi-tone signal is:
Wherein, s (t) is random multi-tone signal, and t is time variable, A0For the average of excitation amplitude, fmaxFor the maximum frequency to be encouraged Rate, K is the frequency dividing quantity of the peak frequency to be encouraged, Ak′For the stochastic variable of independent identically distributed excitation amplitude,For Obey [0,2 π) on equally distributed random phase.
7. the system of prediction engine operating state according to claim 5, it is characterised in that the nonlinear model pattern Block determine the nonlinear model be:
<mrow> <mi>y</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>p</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>&amp;tau;</mi> <mo>=</mo> <mn>0</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>g</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;tau;</mi> <mo>)</mo> </mrow> <mi>u</mi> <msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mi>&amp;tau;</mi> <mo>)</mo> </mrow> <mi>n</mi> </msup> <mo>,</mo> </mrow>
Wherein, y (t) represents the rotating speed of the engine, and u (t) represents input vector, u (t)=(u1(t) u2(t) u3(t))T, u1(t) throttle opening, u are represented2(t) atmospheric pressure, u are represented3(t) atmospheric temperature, anaplasia when t is represented are represented Amount, gn(τ) represents the nonlinear response function of model, and m represents the memory span, and p represents the non-linear order.
8. the system of prediction engine operating state according to claim 5, it is characterised in that the object module is determined Module determines the object module of the engine using batch processing identification algorithm under line.
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Cited By (3)

* Cited by examiner, † Cited by third party
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CN107590878A (en) * 2017-09-13 2018-01-16 中国人民解放军火箭军工程大学 A kind of unmanned plane during flying safe prediction apparatus for evaluating and method
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