Finite-region asynchronous H∞ filtering for 2-D Markov jump systems in Roesser model

Jiankang Fang, Chengcheng Ren, Hai Wang, Vladimir Stojanovic and Shuping He

Applied Mathematics and Computation, 2024, vol. 470, issue C

Abstract: This paper addresses finite-region asynchronous H∞ filtering for a class of two-dimensional Markov jump systems (2-D MJSs). A mathematical model is established using the Roesser model, and asynchrony is accounted for using a hidden Markov model (HMM). The modes jumping between the target system and the designed filter are determined by the given conditional probability matrix. Sufficient conditions are derived using suitable Lyapunov function and linear matrix inequalities (LMIs) to ensure stable filtering performance. The practical applicability of the approach is illustrated by two examples. Overall, this study offers a method to tackle filtering challenges in 2-D Markov jump systems, incorporating HMM, Lyapunov functions, and LMIs to effectively solve the finite-region asynchronous H∞ filtering problem.

Keywords: Asynchronous H∞ filtering; Hidden Markov model; 2-D systems; Finite-region; Markov jump systems; Darboux equation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:470:y:2024:i:c:s0096300324000456

DOI: 10.1016/j.amc.2024.128573

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