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System control method for pole regional placement based on LTI uncertain model

A control method and pole area technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problem that the poles of the closed-loop system cannot be allocated to certain fixed points, etc.

Active Publication Date: 2014-02-05
HARBIN INST OF TECH
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Problems solved by technology

[0003] In order to solve the problem that the poles of the closed-loop system cannot be allocated to some fixed points due to the existence of system uncertainty, the present invention proposes an improved system control method based on LTI uncertainty model pole area allocation

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  • System control method for pole regional placement based on LTI uncertain model
  • System control method for pole regional placement based on LTI uncertain model
  • System control method for pole regional placement based on LTI uncertain model

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Embodiment Construction

[0039] Such as Figures 1 to 2 As shown, the improved pole area allocation method based on the LTI uncertainty model is characterized in that the pole area is allocated to a specific area considering the uncertainty of the controlled object, and the area is expressed by the QLMI method. The specific steps are as follows:

[0040] Step 1. Establish an LTI model of the plant including parameter uncertainties:

[0041] x · = ( A + ΔA ) x + B 1 w + ( B 2 + ΔB ) u

[0042] y=Cx+Dw

[0043] where x∈R n is the state variable, u∈R n is the control variable, w∈R wn is the system disturbance variable; ΔA, ΔB are time-varying uncertain matrices, ...

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Abstract

The invention discloses a system control method for pole regional placement based on an LTI uncertain model, and relates to the technical field of system control. The system control method aims to solve the problem that as system uncertainties exist, poles of a closed-loop system cannot be placed to certain fixed points. According to the system control method, firstly, an LTI model comprising uncertainties is obtained, a proper area is selected according to requirements for stability and the transient state performance and represented in a matrix mode through a QLMI mode, and then a controller for pole placement can be obtained according to the stability condition of the system and the small gain theorem. Compared with a conventional representing method, the D area representing method has the obvious advantages, has generality and facilitates robustness analysis and synthesis. According to the built LTI model of a controlled object, structural uncertainties and non-structural uncertainties necessarily existing in the control system are considered, the controller designed based on the model has the higher robustness, and the degree of influence on the system is lower when the system is disturbed by the outside world.

Description

technical field [0001] The invention relates to a system control method for pole area configuration based on an LTI uncertain model, and relates to the technical field of system control. Background technique [0002] In the traditional modern control theory, because the uncertainty of the model is not considered, the so-called pole allocation is to allocate the poles to some specific points. However, there are a lot of uncertainties in the actual system, such as model uncertainty (also known as structural uncertainty) and non-structural uncertainty. Because the closed-loop pole changes with the change of the controlled object, and the existence of uncertainty will inevitably lead to the change of the controlled object. At this time, it is obviously difficult to configure the pole of the system to some fixed point. However, it is still possible to configure the closed-loop pole in a certain area, and, from the perspective of robust control performance, if the closed-loop pol...

Claims

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Application Information

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IPC IPC(8): G05B13/04
Inventor 陈雪芹胡芳芳孙亚辉斯朝铭
Owner HARBIN INST OF TECH