期刊
FUZZY SETS AND SYSTEMS
卷 159, 期 20, 页码 2696-2712出版社
ELSEVIER
DOI: 10.1016/j.fss.2007.12.029
关键词
delay-dependent; fuzzy control; H-infinity control; linear matrix inequality (LMI); nonlinear time-delay systems
This paper studies the H-infinity fuzzy observer-based control problem for discrete-time nonlinear systems with state delay via a fuzzy Lyapunov-Krasovskii functional (LKF) approach. The Takagi and Sugeno (T-S) fuzzy model is employed to represent a discrete-time nonlinear system with state delay. Based on a non-parallel distributed compensation (PDC) scheme. a new fuzzy LKF is first constructed to derive a delay-dependent condition such that the closed-loop fuzzy system is asymptotically stable and satisfies a prescribed level of H-infinity disturbance attenuation. In the derivation process, two free fuzzy weighting matrices are introduced to express the relationship between the present state and delay state. Then, a novel linear matrix inequality (LMI) approach is proposed for the design of a delay-dependent H-infinity fuzzy observer-based controller. The control and observer matrices can be solved directly by using the existing LMI optimization techniques. Finally. a numerical example is given to illustrate the effectiveness of the proposed design method. (C) 2007 Elsevier B.V. All rights reserved.
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