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Study on Optimal Control for Chaotic System Based on T-S Fuzzy Model

Author: LiXiuLong
Tutor: LiuLi
School: Yanshan University
Course: Detection Technology and Automation
Keywords: Chaotic system Optimal Control T - S fuzzy model Stabilization Control Tracking Control
CLC: O232
Type: Master's thesis
Year: 2010
Downloads: 42
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Abstract


The study of chaotic systems control theory not only has a high degree of value , but also has far-reaching practical significance . Ever since it was discovered after the chaotic system can be controlled , the control of chaotic systems research by a high degree of attention , and then about the many ways to control chaotic system is also proposed . Based on the existing control theory , this paper has done some work for the stabilization of the chaotic system control and tracking control of these two issues , the main contents are as follows : First, the continuous chaotic system stabilization control , due to the chaotic system of nonlinear characteristics , the direct application of optimal control theory to achieve continuous chaotic system control is very difficult to consider the chaotic system based on TS fuzzy modeling , through modeling , design optimal controller for local linear subsystems , and thus achieve control of the chaotic system , Chen system and hyperchaotic Lorenz system control simulation to verify the effect of the method of control . Second, the study of discrete chaotic system stabilization control problems , and similar to the continuous chaotic system and discrete chaotic system with direct application of optimal control theory to achieve their control is very difficult , First discrete systems based on TS fuzzy model modeling method discrete chaotic system modeling , and then use the optimal control theory of discrete optimal state controller design method , system controller design , simulation experiments to validate the control system to of Hénon systems and generalized Hénon calm the method to control effects . Finally, the study tracking control problem of a chaotic system , chaotic system track the desired controlled chaotic systems with expectations of a chaotic system , first proposed in order to achieve a controlled system modeling based on TS fuzzy model , and then according to modeling after local corresponding relations of subsystems , through augmented vector and the augmented matrix of the controlled chaotic system and expectations of the chaotic system linking optimal output regulator design for each system controller design , and then , by the same structure , the initial state and different structures of the initial state of the chaotic system control simulation confirms the performance of the method .

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CLC: > Mathematical sciences and chemical > Mathematics > Control theory, information theory ( mathematical theory ) > Optimal control
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