期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 50, 期 7, 页码 2671-2684出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2018.2825474
关键词
Robustness; State feedback; Symmetric matrices; Linear matrix inequalities; Stochastic processes; Markovian jump systems (MJSs); passivity; robust sampled-data control; time-scheduled Lyapunov functionals
资金
- National Natural Science Foundation of China [61522303, U1509215, 61621063, 61720106011]
- Program for Changjiang Scholars and Innovative Research Team in University [IRT1208]
- Youth ChangJiang Scholars Program
- National Outstanding Youth Talents Support Program
In this paper, the problem of passivity-based robust sampled-data control is investigated for continuous-time Markovian jump systems (MJSs). First, using parameters-dependent Lyapunov functionals consisting of looped-functionals, stochastic sufficient passivity criteria for continuous-time polytopic uncertain MJSs are proposed. As a corollary, we get the stochastic sufficient passivity criteria for continuous-time nominal MJSs. Based on the obtained stochastic sufficient passivity criteria, time-independent state feedback sampled-data controllers are designed. Then, in order to get a time-dependent state feedback sampled-data controller, parameters-dependent time-scheduled Lyapunov functionals consisting of looped-functionals are developed. New stochastic sufficient passivity criteria are obtained. Furthermore, based on the stochastic sufficient passivity criteria, the time-dependent state feedback sampled-data controllers are designed. Four numerical simulation examples are provided to illustrate the effectiveness of the proposed method.
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