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Study On Analysis And Control For Nonlinear Systems Based On T-S Fuzzy Model

Posted on:2009-11-05Degree:MasterType:Thesis
Country:ChinaCandidate:J T PanFull Text:PDF
GTID:2178360245498655Subject:Control theory and control engineering
Abstract/Summary:PDF Full Text Request
Fuzzy control is a control strategy which is different from other traditional control methods. It can be easy to realize effectively human control strategies and experience in many applications. Furthermore, it can achieve better control performance in the absence of the accurate mathematic model for the controlled system. In some corresponding control area, fuzzy control has its own powerful advantages, especially for the control of nonlinear systems, time-varying systems and long time-delay systems. Stability analysis and controller design are the two important research contents of fuzzy control theory. In 1985, both Takagi and Sugeno proposed the Takagi-Sugeno (T-S) fuzzy model, which brings far-reaching impact for fuzzy control theory and its application, and makes stability analysis of fuzzy systems to a new theoretical height. T-S fuzzy model efficiently represents a nonlinear systems with a set of linear subsystems. It can be easily to analyze the stability conditions as well as design controllers by T-S fuzzy modeling for nonlinear systems.In this dissertation, by using Lyapunov approach, linear matrix inequality (LMI) method and parallel distributed compensation (PDC), the problem of stability and H∞control for T-S fuzzy systems subject to non-time-delay, time-delay or uncertainty are discussed respectively. Then, the sufficient conditons of stability and corresponding controllers design methods for controlled systems are proposed. The main research works in the dissertation can be described as follows:1)For continuous-time T-S fuzzy systems with time-varying delay, the problems of asymptotically stable for controlled systems are discussed. The sufficient conditions which guarantee fuzzy systems is asymptotically stable and controllers design methods based on linear matrix inequality are proposed2)For discrete-time T-S fuzzy systems, the problems of stabilization analysis and H∞control are discussed. New approaches to stabilization analysis and H∞performance for discrete-time T-S fuzzy systems are proposed.3)For discrete-time T-S fuzzy systems with time-delay, the problems of stabilization analysis and H∞control are discussed. A sufficient condition and H∞controller design method which guarantee system is asymptotically stable and the effect of the distrubance input on the controlled output is reduced to a prescribed level is proposed.4)For uncertain discrete-time T-S fuzzy systems with state and input time-delays, the problems of stabilization analysis and H∞control are discussed. The design method based on LMI for the fuzzy robust controller are given, which guarantee the system is asymptotically stable and the effect of the disturbance input on the controlled output is reduced to a prescribed level.5)Several typical examples are chosen to show the effectiveness of results in this dissertation. The simulation results no only demonstrate the efficiency of the proposed conclusions, but also allow outperforming previous results found in other literatures.Finally, some concluding remarks are given, and the future research works are pointed out.
Keywords/Search Tags:Takagi-Sugeno fuzzy systems, linear matrix inequality, fuzzy Lyapunov function
PDF Full Text Request
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