Improved results on observer-based control for discrete-time fuzzy systems

B. El Haiek, A. Hmamed, A. El Hajjaji and E.H. Tissir

International Journal of Systems Science, 2017, vol. 48, issue 12, 2544-2553

Abstract: This paper is concerned with the design problem of observer-based H∞ control for discrete-time Takagi−Sugeno (T−S) fuzzy systems. New sufficient conditions guaranteeing the H∞ performance of the T−S fuzzy systems are derived. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved using a single-step resolution procedure. In comparison with the existing literature results, the proposed approach may provide more relaxed conditions while ensuring better H∞ performance. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach.

Date: 2017
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DOI: 10.1080/00207721.2017.1324067

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