Robust H∞ control of T-S fuzzy systems with input time-varying delays: A delay partitioning method

Min Li, Feng Shu, Duyu Liu and Shouming Zhong

Applied Mathematics and Computation, 2018, vol. 321, issue C, 209-222

Abstract: Addressed in this paper is the robust H∞ control issue of T-S fuzzy systems with input time-varying delays. By means of the delay partitioning method, the delay interval is partitioned into multiple unequal subintervals whose lengths satisfy a geometric sequence. On this basis, a modified Lyapunov–Krasovskii functional is presented to analyze asymptotic stability of the open-loop system. Then a state feedback controller that ensures a prescribed H∞ performance level for the closed-loop system is proposed in linear matrix inequality format. Finally, two numerical examples are given to illustrate the effectiveness and advantages of the obtained results.

Keywords: H∞ control; Geometric sequence partitioning; Input time-varying delays; T-S fuzzy systems (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:321:y:2018:i:c:p:209-222

DOI: 10.1016/j.amc.2017.10.053

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