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LMIs state feedback system control method based on uncertain model

A technology of state feedback and control method, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problem that asymptotic stability and robustness of closed-loop system cannot be guaranteed.

Active Publication Date: 2015-03-11
SOUTH CHINA UNIV OF TECH
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Problems solved by technology

[0003] The purpose of the present invention is to overcome the deficiencies in the prior art, provide a kind of LMIs state feedback system control method based on uncertain model, solve because of the existence of uncertainty, and can not guarantee the asymptotic stability and the robustness problem of closed-loop system

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  • LMIs state feedback system control method based on uncertain model
  • LMIs state feedback system control method based on uncertain model
  • LMIs state feedback system control method based on uncertain model

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[0043] The present invention will be further described below in conjunction with specific examples.

[0044] The LMIs state feedback system control method based on the uncertain model described in this embodiment aims at the uncertainty of the control object, and designs the state feedback controller with the help of the linear matrix inequality group LMIs, so that the closed-loop system is asymptotically stable, and then solves the problem of Due to the existence of uncertainty, the asymptotic stability and robustness of the closed-loop system cannot be guaranteed. Firstly, the controlled object model including uncertain parameters is established, and then the system state feedback controller is introduced, and the nonlinear system control law is designed on the basis of satisfying the Lyapunov theorem through the construction function of the closed-loop system. This control method considers the control problems faced by the system with a certain degree of uncertainty, includ...

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Abstract

The invention discloses a LMIs state feedback system control method based on an uncertain model. The LMIs state feedback system control method disclosed by the invention comprises the following steps of: establishing a controlled object model containing uncertain parameters at first, introducing a system state feedback controller, constructing a function of a closed-loop system, and designing a nonlinear system control law in the event of satisfying a Lyapunov theorem. The control method disclosed by the invention considers the control problems including influence caused by modelling error, model parameter variation, system noise and the like, of a system having uncertainty in a certain degree; the control method disclosed by the invention has good adaptive capacity to the uncertain factors of the system; in addition, compared with general conventional methods, the method disclosed by the invention is more rapid in response speed and higher in stability and robustness.

Description

technical field [0001] The invention relates to the technical field of system control, in particular to a method for controlling an LMIs state feedback system based on an uncertain model. Background technique [0002] State feedback control is to multiply each state variable of the system by the corresponding feedback coefficient, feed it back to the input terminal, add it to the reference input, and use the sum as the control signal of the controlled system. In traditional modern control theory H ∞ The combination of robust control and PID control shows better control performance for some objects, but there are still some aspects to be improved in the design of the control system: the unit control strategy based on the accurate model cannot deal with the system due to modeling errors or system parameters. Uncertainty caused by change. On the premise of ensuring the stability of the system, another scholar realized the tracking control of the control object by means of the...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04G06F19/00
Inventor 马晓茜许志斌曾碧凡武万强吴婕
Owner SOUTH CHINA UNIV OF TECH
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