New robust H_∞ control approach for discrete T-S fuzzy time-delay system
by Songtao Zhang; Xiaowei Zhao; Jiantong Zhang
International Journal of Automation and Control (IJAAC), Vol. 9, No. 4, 2015

Abstract: A new piecewise Lyapunov-Krasovskii function approach on the stability analysis and the robust H_∞ controller design of the discrete T-S fuzzy time-delay system is studied in this paper. Based on the definition of maximal overlapped-rules group, the systematic design of the fuzzy robust H_∞ controller is investigated via parallel distributed compensation control scheme. And for the closed-loop discrete T-S fuzzy time-delay system, a new sufficient stability condition is proposed. This sufficient condition only requires finding common matrices in each maximal overlapped-rules group. The proposed condition is less conservative and difficult than the common Lyapunov-Krasovskii function approach and the fuzzy Lyapunov-Krasovskii function approach. Lastly, the simulation results show the effectiveness of the proposed approach.

Online publication date: Wed, 09-Dec-2015

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