Nguang, S and Shi, Peng (2003) H-infinity Fuzzy Output Feedback Control Design for Nonlinear Systems: an LMI Approach. IEEE Transactions on Fuzzy Systems, 11 (3). pp. 331-340. ISSN 1063-6706

Abstract

This paper addresses the problem of stabilizing a class of nonlinear systems by using an H-infinity fuzzy output feedback controller. First, a class of nonlinear systems is approximated by a Takagi–Sugeno (TS) fuzzy model. Then, based on a well-known Lyapunov functional approach, we develop a technique for designing an H-infinity fuzzy output feedback control law which guarantees the L2 gain from an exogenous input to a regulated output is less or equal to a prescribed value. A design algorithm for constructing an H-infinity fuzzy output feedback controller is given. In contrast to the existing results, the premise variables of the H-infinity fuzzy output feedback controller are not necessarily to be the same as the premise variables of the TS fuzzy model of the plant. A numerical simulation example is presented to illustrate the theory development.

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