Extended dissipativity-based non-fragile sampled-data control of fuzzy Markovian jump systems with incomplete transition rates

Tianshu Xu, Jianwei Xia, Sanxia Wang, Yuxiao Lian and Huasheng Zhang

Applied Mathematics and Computation, 2020, vol. 380, issue C

Abstract: This article addresses the topic of extended dissipative analysis and non-fragile sampled-data control for fuzzy markovian jump systems with incomplete transition rates, where the extended dissipative analysis unifies the L2−L∞,H∞, passivity, (Q, S, R)-dissipativity performance in a framework. First, by making the best of the information in the sampling interval, an appropriate closed-loop function dependent sampling interval is constructed. Then, with the addition of free-weighting matrices approach and improved integral inequality technique, sufficient conditions are obtained to ensure the considered systems are stochastically stable and extended dissipative, respectively. Furthermore, the corresponding two form of non-fragile mode-dependent sampled-data controllers are also designed. Finally, a simulation example is offered to verify the feasibility of the results.

Keywords: Extended dissipativity; Fuzzy markovian jump systems; Non-fragile sampled-data control; Incomplete transition rates; Closed-loop function (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302277

DOI: 10.1016/j.amc.2020.125258

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