Event-triggered non-synchronous stabilization for Markov jump systems

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Abstract

The event-triggered non-synchronous stabilization problem for Markov jump systems was investigated via state-feedback control. The possible mismatch between the plant and controller modes was modeled by a hidden Markov model. Both memoryless and memory-based switched event-triggered mechanisms were proposed to reduce the frequency of controller updates. Two sufficient conditions were established to guarantee the stochastic stability of the closed-loop system by employing Lyapunov–Krasovskii functionals, free-weighting matrices, and stochastic analysis. Computationally tractable schemes were then developed to obtain the state-feedback controller gains via congruence transformations. A numerical example is presented to illustrate the efficiency of the switched event-triggered non-synchronous state-feedback control schemes.

Keywords

Markov jump system / switched event-triggered mechanism / stochastic stability / non-synchronous control / state-feedback control

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