Non-fragile H∞ control for Markovian jump fuzzy systems with time-varying delays

Feng Shu, Min Li and Duyu Liu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1177-1191

Abstract: This paper focuses on the non-fragile H∞ control of Markovian jump fuzzy systems with time-varying delays. In order to obtain less conservatism, an improved delay partitioning method is introduced, which divides the delay interval into multiple segments with a geometric sequence. A modified Lyapunov–Krasovskii functional is constructed and some less conservative delay-dependent stability criteria are derived by using linear matrix inequalities technique. Then a non-fragile controller is designed. Finally, two numerical examples are given to show the effectiveness of the obtained results.

Keywords: H∞ control; Markovian jump systems; Stochastic stability; Takagi–Sugeno fuzzy model; Time-varying delays (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1177-1191

DOI: 10.1016/j.physa.2019.04.059

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