Asynchronous H∞ control of Markov jump discrete-time systems with incomplete transition probability and unreliable links. (March 2022)

• Record Type: Journal Article
• Authors: Shan, Yaonan; She, Kun; Zhong, Shouming; Cheng, Jun; Yu, Yongbin; Deng, Hongyao
• Is Part Of: ISA transactions. Volume 122(2022)
• Page Start: 218
• Page End: 231
• Publication Date: 2022-03
• Subjects: Asynchronous H∞ control -- Markov jump discrete-time systems (MJDTSs) -- Mixed time-varying delay -- Incomplete transition probability (ITP) -- Unreliable links; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2021.04.044
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: In this study, an asynchronous H ∞ state feedback controller is devised for Markov jump discrete-time systems (MJDTSs) with time-varying delay. "Asynchronous" means that the system switching mode θ k, the controller mode ϑ k and the quantizer mode λ k are different from each other. The first one is homogeneous and the last two are non-homogeneous. In particular, as a promotion of existing work, we firstly attempt to propose the transition probabilities (TPs) of the three Markov chains (MCs) are not completely known. In addition, the discrete time-varying delay and its infinitely distributed ones are considered. Moreover, according to the Lyapunov stability theory and stochastic process, it is established for the sufficient criterion to ensure the stochastic stability of resulting closed-loop MJDTSs with an H ∞ attenuation performance index. The feasibility and effectiveness of the proposed method are validated by three examples. Highlights: It considers unreliable links and mixed time delays. The system we consider covers asynchronous Markov jump mode knowledge. The design of asynchronous H ∞ quantized feedback controller is provided.