Asynchronous fault-tolerant control for stochastic jumping singularly perturbed systems: An H∞ sliding mode control scheme

作者:

Highlights:

• Compared with the previous works about MJSPSs that the controller was assumed to directly obtain the system mode, we utilize the HMM to describe this asynchronous phenomenon, thus the designed controller is more general and appropriate.

• Aiming at the Markov jump and singularly perturbed parameter (SPP) in the system, a proper mode-independent sliding surface and an asynchronous SMC law in consideration of the singularly perturbed parameter matrix are proposed based on the HMM approach.

• As the first attempt, the fault-tolerant control scheme is applied in the asynchronous SMC for MJSPSs. Combined with it, the mean-square stability with an acceptable H∞ system performance is achieved.

摘要

•Compared with the previous works about MJSPSs that the controller was assumed to directly obtain the system mode, we utilize the HMM to describe this asynchronous phenomenon, thus the designed controller is more general and appropriate.•Aiming at the Markov jump and singularly perturbed parameter (SPP) in the system, a proper mode-independent sliding surface and an asynchronous SMC law in consideration of the singularly perturbed parameter matrix are proposed based on the HMM approach.•As the first attempt, the fault-tolerant control scheme is applied in the asynchronous SMC for MJSPSs. Combined with it, the mean-square stability with an acceptable H∞ system performance is achieved.

论文关键词:Singularly perturbed system,Fault-tolerant control,Hidden-Markov model,Sliding mode control

论文评审过程:Received 26 February 2020, Revised 25 June 2020, Accepted 19 July 2020, Available online 6 August 2020, Version of Record 6 August 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125562