A resource-aware sliding mode control approach for Markov jump systems

Haiying Wan; Xiaoli Luan; Hamid Reza Karimi; Fei Liu

doi:10.1016/j.isatra.2020.10.042

A resource-aware sliding mode control approach for Markov jump systems

ISA Trans. 2022 May:124:318-325. doi: 10.1016/j.isatra.2020.10.042. Epub 2020 Oct 22.

Authors

Haiying Wan¹, Xiaoli Luan², Hamid Reza Karimi³, Fei Liu¹

Affiliations

¹ Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi, 214122, PR China.
² Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi, 214122, PR China. Electronic address: xlluan@jiangnan.edu.cn.
³ Department of Mechanical Engineering, Politecnico di Milano, Milan 20156, Italy.

PMID: 33153706
DOI: 10.1016/j.isatra.2020.10.042

Abstract

The problem of sliding mode control (SMC) for a class of Markov jump systems (MJSs) is addressed in this paper based on a resource-aware triggering mechanism which realizes computational resources saving and disturbance attenuation simultaneously. By introducing the self-triggered policy, the next execution time is pre-computed for sampling, updating and executing by relying on the latest sampled information. Then, the switching surface and the related dynamics of the original MJSs are obtained by means of a self-triggered sampling scheme. To guarantee both the system stability and the desired disturbance attenuation performance, sufficient conditions are presented in terms of linear matrix inequalities. Moreover, to ensure the time finiteness of the predefined switching surface reachability and satisfy the desirable sliding motion performance, an SMC law is proposed. The validity and superiority of the developed scheme are demonstrated via a simulation example.

Keywords: Disturbance attenuation; Markov jump systems; Self-triggered implementation; Sliding mode control.