Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach

作者：

Highlights：

• Constructed integral type sliding mode switching functions for each Markov jump subsystem.

• Linear matrix inequalities and sufficient conditions for stochastic admissibility are given.

• The sliding mode controller and switching rules are designed by Lyapunov stability method.

• The state trajectory can reach the sliding mode surface in a limited time, resulting in stable sliding mode dynamics.

摘要

•Constructed integral type sliding mode switching functions for each Markov jump subsystem.•Linear matrix inequalities and sufficient conditions for stochastic admissibility are given.•The sliding mode controller and switching rules are designed by Lyapunov stability method.•The state trajectory can reach the sliding mode surface in a limited time, resulting in stable sliding mode dynamics.

论文关键词：Singular time-delay systems,Markov jump systems,Stochastic admissibility,Sliding mode control law

论文评审过程：Received 3 July 2019, Revised 16 March 2020, Accepted 5 April 2020, Available online 22 April 2020, Version of Record 22 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125282