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

Authors :
Xu, Tianshu
Xia, Jianwei
Wang, Sanxia
Lian, Yuxiao
Zhang, Huasheng
Source :
Applied Mathematics & Computation. Sep2020, Vol. 380, pN.PAG-N.PAG. 1p.
Publication Year :
2020

Abstract

• It is the first time to apply the extended dissipativity analysis to the sampled-data fuzzy markovian jump systems with incomplete transition rates. • Some recent powerful techniques including parameter-dependent looped-functional, free-weighting matrix integral inequality and free-weighting matrix are used to guarantee the less conservatism of proposed results. 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 L 2 − 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
380
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
143079927
Full Text :
https://doi.org/10.1016/j.amc.2020.125258