Asynchronous sliding mode control of continuous-time singular markov jump systems with time-varying delay under event-triggered strategy

Tiantian Liang, Shengli Shi and Yuechao Ma

Applied Mathematics and Computation, 2023, vol. 448, issue C

Abstract: This paper is mainly to design an asynchronous sliding mode controller for singular Markov jump systems (SMJSs) under event-triggered strategy (ETS). A sampling-based ETS is introduced, which can not only save resources but also avoid Zeno behavior. Hidden Markov model (HMM) is used to describe the phenomenon that the system mode is not synchronized with the controller mode. A novel delay-dependent sliding mode surface is constructed. Then, an asynchronous sliding mode control (SMC) law is obtained by utilizing the ETS, which guarantees the reachability of the closed-loop system. A stochastic admissibility with H∞ performance criterion is established for SMJSs by linear matrix inequality. Finally, effectiveness of the theoretical approach is demonstrated through two examples.

Keywords: Singular markov jump systems; Asynchronous sliding mode control; Time-varying delay; Event-triggered strategy (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323001169

DOI: 10.1016/j.amc.2023.127947

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