State Feedback Controller Design via Takagi- Sugeno Fuzzy Model: LMI Approach
نویسندگان
چکیده
In this paper, we introduce a robust state feedback controller design using Linear Matrix Inequalities (LMIs) and guaranteed cost approach for Takagi-Sugeno fuzzy systems. The purpose on this work is to establish a systematic method to design controllers for a class of uncertain linear and non linear systems. Our approach utilizes a certain type of fuzzy systems that are based on Takagi-Sugeno (T-S) fuzzy models to approximate nonlinear systems. We use a robust control methodology to design controllers. This method not only guarantees stability, but also minimizes an upper bound on a linear quadratic performance measure. A simulation example is presented to show the effectiveness of this method. Keywords—Takagi-Sugeno fuzzy model, State feedback, Linear Matrix Inequalities, Robust stability.
منابع مشابه
L 2 Gain Control of Takagi-sugeno Fuzzy Models
This paper presents L 2 gain controller synthesis for the fuzzy T-S model (Takagi-Sugeno). Both the state-feedback controller and the output feedback controller are discussed. They are in the format of PDC (parallel distributed compensation) controller which is essentially a nonlinear controller. Based on the bounded-real lemma, the synthesis procedure is expressed in LMI conditions which can b...
متن کاملAN OPTIMAL FUZZY SLIDING MODE CONTROLLER DESIGN BASED ON PARTICLE SWARM OPTIMIZATION AND USING SCALAR SIGN FUNCTION
This paper addresses the problems caused by an inappropriate selection of sliding surface parameters in fuzzy sliding mode controllers via an optimization approach. In particular, the proposed method employs the parallel distributed compensator scheme to design the state feedback based control law. The controller gains are determined in offline mode via a linear quadratic regular. The particle ...
متن کاملROBUST $H_{infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH
In this paper we consider the problem of delay-dependent robustH1 control for uncertain fuzzy systems with time-varying delay. The Takagi–Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay isassumed to have lower and upper bounds. Based on the Lyapunov-Krasovskiifunctional method, a sufficient condition for the existence of a robust $H_{infty}$controller is obtained. The fuzz...
متن کاملParallel Distributed Compensation for Takagi-Sugeno Fuzzy Models: Multiobjective Controller Design
This paper discusses multi-objective controller synthesis for the fuzzy T-S (Takagi-Sugeno) model. Various performance specifications are included. Both the state-feedback controller and the dynamic feedback controller are presented. They are in the format of a PDC (parallel distributed compensation) controller which is essentially a nonlinear controller. The controller synthesis is formulated ...
متن کاملState-Feedback Control Design for Nonlinear Time-Varying Delay Systems Based on An LMI Approach
This paper examines the problem of designing a robust H∞ state-feedback controller for a class of nonlinear systems with time-varying delay described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ state-feedback controller which guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less...
متن کامل