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The Non-Fragile Control Of T-S Fuzzy Model

Posted on:2009-07-20Degree:MasterType:Thesis
Country:ChinaCandidate:J M YueFull Text:PDF
GTID:2178360242477838Subject:Operational Research and Cybernetics
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Since the early 1970s,Intelligent control has been proposed by Professor K. S. Fu of Purdue University in United States, which has always been a very active and challenging fields in contemporary science and technology. Because of the intelligent control integration of Artificial Intelligence,Automatic control,Operations research,Computer science and so on, which is a variety of subject knowledge of a new interdisciplinary,have broad application prospects. Fuzzy control technology as an important branch of the intelligent control, its greatest feature is against all kinds of nonlinear,strong coupling,uncertainty,time-varying multivariable complex systems, are widely applied in various areas of control, and obtain good control effect. Therefore, research on fuzzy control system has important significance of practical.Based on Lyapunov stability theory, through using linear matrix inequality, this paper proposes analysis and synthesis method for the fuzzy control systems by designed new controllers .This paper is organized as follows.In chapter one, the development background,fuzzy control principle and,recent research achievements are introduced.In chapter two, the generalized H_∞stabilization and the controller design problems are studied for a class of continuous nonlinear systems described in T-S fuzzy model, which has uncertainties in state and input. The non-fragile fuzzy controller is designed based on piecewise Lyapunov function theory, PDC and Linear Matrix Inequalition method. The method ensures the asymptotically stability and the H_∞performance of the resulting closed-loop systems for all admissible uncertainties. The simulation is presented to show the feasibility and effectiveness of the proposed method.In chapter three, The H_∞stabilization and the non-fragile controller design problems for the uncertainty Takagi-Sugeno(T-S) fuzzy dynamic systems are studied. The piecewise non-fragile H_∞controller is proposed based on piecewise Lyapunov function theory, Linear Matrix inequalities (LMIs), which ensure the asymptotically stability and the H_∞performance of the resulting closed-loop systems for all admissible uncertainties. The simulation is presented to show the feasibility and effectiveness of the proposed method.In the last chapter, the problem of passive control for a kind of T-S fuzzy systems is studied. The notion of strictly passive is proposed and the sufficient conditions, which make the closed loop system is strictly passive, is obtained for the system. The conditions are expressed as linear matrix inequality (LMIs), so, the feedback gain matrix can be obtained by solving the LMIs. The sufficient conditions can check the passivity of the considered system only once. An illustrative example is given to show the validity and feasibility of the proposed approach...
Keywords/Search Tags:Fuzzy control system, Lyapunov function, Fuzzy controller, Robust control, H_∞stability
PDF Full Text Request
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