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H fuzzy output feedback control design for nonlinear systems: an LMI approach

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2 Author(s)
Sing Kiong Nguang ; Dept. of Electr. & Electron. Eng., Univ. of Auckland, New Zealand ; Peng Shi

Addresses the problem of stabilizing a class of nonlinear systems by using an H 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 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 fuzzy output feedback controller is given. In contrast to the existing results, the premise variables of the H 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.

Published in:

Fuzzy Systems, IEEE Transactions on  (Volume:11 ,  Issue: 3 )