Zhang, Jinhui, Xia, Yuanqing, Shi, Peng and Qiu, Jiqing (2009) H-infinity output feedback control design for discrete-time fuzzy systems. Optimal Control Applications and Methods, 30 (4). pp. 415-437. ISSN 0143-2087

Abstract

This paper investigates the relaxed non-quadratic stability conditions, fuzzy observer designs and ∞ controller designs for discrete-time Takagi-Sugeno fuzzy systems based on a relaxed approach in which fuzzy Lyapunov functions are used. First, a new relaxed condition of non-quadratic stability is presented, which is shown to be useful in designing fuzzy controller and observer. Second, new fuzzy observers based on the relaxed non-quadratic stability conditions have been proposed. Then, a sufficient linear matrix inequality (LMI)-type condition is proposed to guarantee the existence of the ∞ controllers based on the fuzzy observers designed. It is shown that the controller and observer parameters can be obtained by solving a set of LMIs that are numerically feasible with commercially available software. Finally, the effectiveness and less conservativeness of the proposed approach are demonstrated by two examples

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