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Stabilty Analysis and Synthesis for Takagi-Sugeno Fuzzy Systems with Time-Delays

Author: NiuYanYing
Tutor: LiuDeYou
School: Yanshan University
Course: Operational Research and Cybernetics
Keywords: T - S fuzzy model Delay Nonlinear Systems Robust H ~ ∞ control Feedback control The mesh adaptation elastic control Interconnected systems
CLC: O231
Type: Master's thesis
Year: 2006
Downloads: 65
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Abstract

With the development of scientific and technological progress and productivity, control systems become more complex, and often the lack of a precise mathematical model, highly nonlinear and uncertainties Delay phenomenon is one of the inherent phenomenon, so the research nonlinear time-delay system has broad and far-reaching significance, but there is a lack of systematic and effective analysis and synthesis methods. TS fuzzy model is a good approximation ability of nonlinear systems, and to facilitate the analysis, therefore, it becomes hot Nonlinear Studies in recent years to study the stability analysis of nonlinear systems based on TS fuzzy models and comprehensive the problem. First, the paper studies the continuous uncertain TS fuzzy guaranteed cost control problem for delay systems, a sufficient condition for stability of the system is given based on Lyapunov-Krasovskii (LK) method, the use of parallel distributed compensation (PDC) is designed to meet the guaranteed cost control requirements of fuzzy controller, the system is asymptotically stable, and has been the least upper bound of the cost function, allowing the controller to become the optimal guaranteed cost controller design, and this optimal control problem feasible solution valid numeric solution to determine. Finally, simulation example demonstrates the effectiveness of the method. Secondly, the paper studies a class of uncertain nonlinear systems with state and control delay fuzzy state feedback control problem. Delay uncertain Takagi-Sugeno (TS) fuzzy model, proposed a system based LMI fuzzy robust controller design method gives sufficient conditions for the fuzzy state feedback controller, to ensure that the closed-loop fuzzy system gradually nearly stable and meet the H ~ ∞ norm bound constraint from interference input to control output. Again, the application of fuzzy TS model fuzzy modeling of a class of continuous uncertain nonlinear systems, get Uncertain Fuzzy Systems; fuzzy state feedback controller and observer-based dynamic output feedback controller design . Uncertainty exists in the form of practical problems, to discuss the design of a robust adaptive flexibility controller. Adaptive methods, the use of the characteristics of its online updates to keep track of the upper bound of uncertainty. Consider the TS fuzzy uncertain system described by the model, robust stabilization problem of nonlinear time-delay systems, based on the solvability of linear matrix inequalities, a new type of memory is given control strategy proposed a delay parameter adaptive control scheme. Finally, a class of nonlinear time delay and delay associated with large dispersion fuzzy stabilization problem. First, given a description of the problem; based on the use of the method of parallel distributed compensation (PDC) design of the controller gives a sufficient condition to ensure the fuzzy large system closed-loop asymptotically stable. Then, using the idea of ??adaptive control for the first time of the the elastic controller design new concept applied to the fuzzy association system to increase the robustness of the system, reducing the vulnerability of the system, has important theoretical and practical significance.

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