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Asynchronous output feedback control of time-varying Markovian jump systems within a finite-time interval. (English) Zbl 1373.93314

Summary: This work addresses the asynchronous output feedback control for time-varying Markovian jump systems. The parameter uncertainties enter the system in random ways according to a determined mode-dependent Bernoulli distributed white sequence. The non-synchronization phenomenon between the system modes and controller modes is modeled as a hidden Markov model. By means of intensive stochastic analysis and recursive matrix inequality techniques, sufficient conditions are attained to ensure the finite-time stochastic boundedness of the closed-loop system with a satisfied \(H_\infty\) disturbance rejection level. Moreover, an iterative algorithm is established for designing asynchronous output feedback controller. Finally, simulation results are given to illustrate the proposed design scheme.

MSC:

93E03 Stochastic systems in control theory (general)
60J75 Jump processes (MSC2010)
93B52 Feedback control
93B36 \(H^\infty\)-control
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