Non-fragile H∞ finite-time sliding mode control for stochastic Markovian jump systems with time delay

作者：

Highlights：

• Considering the various constraints of the system in the actual control process, a state observer is proposed for the reconstruction of the system signal.

• Based on the knowledge of FTBs and SMC method, a suitable SMC law is designed such that the state trajectories can be driven onto the s.s.s within a given time interval to ensure the finite-time reachability.

• Under the influences of the uncertainty, external interference and mode switching, Lyapunov stability method is combined with the partition strategy to derive new sufficient conditions for H∞ FTBs on the whole finite-time interval.

• Finally, the numerical example and S-lram are applied to show the effectiveness of the method.

摘要

•Considering the various constraints of the system in the actual control process, a state observer is proposed for the reconstruction of the system signal.•Based on the knowledge of FTBs and SMC method, a suitable SMC law is designed such that the state trajectories can be driven onto the s.s.s within a given time interval to ensure the finite-time reachability.•Under the influences of the uncertainty, external interference and mode switching, Lyapunov stability method is combined with the partition strategy to derive new sufficient conditions for H∞ FTBs on the whole finite-time interval.•Finally, the numerical example and S-lram are applied to show the effectiveness of the method.

论文关键词：Sliding mode control,Finite-time boundedness,Stochastic Markovian jump systems,Time delay

论文评审过程：Received 15 November 2020, Revised 30 March 2021, Accepted 12 May 2021, Available online 3 June 2021, Version of Record 3 June 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126383