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access icon free Mixed control of delayed Markov jump linear systems

© The Institution of Engineering and Technology
Received 08/10/2019, Accepted 01/06/2020, Revised 23/03/2020, Published 04/06/2020

This study investigates the state feedback control laws for Markov jump linear systems with state and mode-observation delays. An assumption in this study is that the delay of the mode observation obeys an exponential distribution. Also, the authors raise an unknown time-varying state delay applied in the composition of the state feedback controller. A method of remodelling the closed-loop system as a standard Markov jump linear system with state delay is shown. Furthermore, on the basis of this remodelling, several linear matrix inequalities for designing feedback gains for stabilisation and mixed control are proposed. Finally, the authors apply a numerical simulation for examining the effectiveness of the proposed mixed controller designing method.

Inspec keywords: Markov processes; stability; linear systems; linear matrix inequalities; closed loop systems; control system synthesis; time-varying systems; delays; state feedback; stochastic systems

Other keywords: closed-loop system; exponential distribution; delayed Markov jump linear systems; mixed H2/H∞ control; stabilisation; state feedback control laws; time-varying state delay; state feedback controller; standard Markov jump linear system; linear matrix inequalities

Subjects: Markov processes; Algebra; Linear control systems; Optimal control; Distributed parameter control systems; Control system analysis and synthesis methods; Stability in control theory; Time-varying control systems

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