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Included-angle-based multi-model decomposition and control method of Hammerstein-Wiener system

A control method and multi-model technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of heavy calculation, improve robustness and closed-loop control performance, and avoid control performance degradation Effect

Active Publication Date: 2018-10-02
HOHAI UNIV CHANGZHOU
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Problems solved by technology

However, successively linearizing the system results in heavy computation

Method used

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  • Included-angle-based multi-model decomposition and control method of Hammerstein-Wiener system
  • Included-angle-based multi-model decomposition and control method of Hammerstein-Wiener system
  • Included-angle-based multi-model decomposition and control method of Hammerstein-Wiener system

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Embodiment 1

[0066] The following examples are given to illustrate the above decomposition and control methods, and the numerical model is simulated and analyzed.

[0067] v=u+0.5u 2 -0.7u 3

[0068]

[0069] y=x-0.5x 2 +0.2x 3

[0070] The output nonlinearity of the above system is irreversible, so the traditional nonlinear inversion method cannot be used. Using the present invention to decompose and control the above-mentioned system based on the included angle, the specific steps are as follows:

[0071] S1. Use the angle-based gridding algorithm to grid the entire operating space of the SISO Hammerstein-Wiener system to obtain 82 grid points, and linearize the Hammerstein-Wiener system at each grid point to obtain 82 Linearize the model, calculate the slope of the static input-output curve of the system at each grid point, and further calculate the angle between every two grid points, and obtain the angle matrix Θ=[θ ij ] 82×82 , where the maximum value of the included angle...

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Abstract

The invention discloses an included-angle-based multi-model decomposition and control method of a Hammerstein-Wiener system. multi-model decomposition is carried out on a Hammerstein-Wiener system byusing an included angle and a linear model set of an approximate Hammerstein-Wiener system is obtained; a linear controller is designed based on the model set; and according an included-angle-based weighting method, weighted fusion is carried out on the obtained linear controlled and optimized controlling of the Hammerstein-Wiener system is carried out. Therefore, defects that the traditional nonlinear inverse control method can only be applied to a static reversible Hammerstein-Wiener system and the closed loop performance is reduced because the input or output nonlinearity of the system cannot be considered into the controller designed can be overcome.

Description

technical field [0001] The invention relates to a Hammerstein-Wiener system multi-model decomposition and control method based on included angle, and belongs to the field of nonlinear system multi-model control. Background technique [0002] The Hammerstein-Wiener model is a typical block structure model, which consists of two static nonlinear modules connected in series with a dynamic linear module. The whole model can be regarded as a Hammerstein model in series with a Wiener model. This series structure has a series of advantages: easy to integrate prior knowledge into the model; low modeling cost; high approximation accuracy; easy to control and so on. Therefore, the Hammerstein-Wiener model has been widely used in the modeling of nonlinear systems in the past ten years, such as continuous stirring reactors, neutralization reactors, DC motors, photovoltaic power generation systems, etc. [0003] However, when the controller is designed based on the Hammerstein-Wiener m...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 杜静静陈俊风
Owner HOHAI UNIV CHANGZHOU
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