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Fault-Tolerant Guaranteed Cost Control of Fuzzy Systems Based on T-S Model
Author: FengWenJuan
Tutor: ZhangGuoShan
School: Tianjin University
Course: Control Theory and Control Engineering
Keywords: Fuzzy Systems T - S fuzzy model Guaranteed Cost Fault-tolerant control Linear matrix inequalities
CLC: TP13
Type: Master's thesis
Year: 2009
Downloads: 25
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Abstract
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With the continuous development of science and technology, the actual production process of analysis requires increasingly sophisticated, more accurate analysis and scientific experimental results show that: an actual physical systems are nonlinear. Therefore, the study of nonlinear systems stability control is particularly important. With modern engineering and technology towards the development of large-scale, complex direction, once the system failure will cause huge economic losses. Therefore, fault tolerant control become a hot topic in control theory and applied research in recent years. Uncertain time-delay system based on TS fuzzy model, when the actuator fault tolerant guaranteed cost control problem, made a number of new methods and conclusions, the main contents can be attributed to the following aspects: 1. Studied for a class , when the actuator failure fault-tolerant guaranteed cost control for uncertain nonlinear time-delay systems based on TS model. Based on the matrix inequality gives sufficient conditions for existence of non-fragile fault-tolerant guaranteed cost controller, the conditions to ensure that the closed-loop system is asymptotically stable for all admissible uncertainties, and quadratic performance for a given function, the closed-loop The performance does not exceed a certain line. Furthermore, addition and multiplication uncertainty both cases for the controller, the controller design method is given in the form of linear matrix inequalities. Of numerical simulation results show that the proposed non-fragile fault-tolerant guaranteed cost controller design method is effective. (2) for a class of uncertain nonlinear systems with state delay memory fault-tolerant guaranteed cost control problem. Using the method of linear matrix inequalities, a sufficient condition of the system there is a memory fault-tolerant guaranteed cost control law. And ensure that the closed-loop performance for a given quadratic performance index, no more than a profession. The application of the LMI-based convex optimization method to design the optimal guaranteed cost controller. Finally, the simulation instance, the results show that good control effect. Discussed a class of uncertain nonlinear systems with state delay fault-tolerant H_ ∞ guaranteed cost control problem. Consider H_ ∞ performance indicators, but also considered the upper bound of the performance function. A linear matrix inequality approach, the sufficient conditions of existence of the fault-tolerant H_ ∞ guaranteed cost control law. With Matlab LMI toolbox to design the optimal fault-tolerant H_ ∞ guaranteed cost controller. Finally, the simulation instance, the results show that good control effect.
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