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

Author

Listed:
  • Fang, Jiankang
  • Ren, Chengcheng
  • Wang, Hai
  • Stojanovic, Vladimir
  • He, Shuping

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.

Suggested Citation

  • Fang, Jiankang & Ren, Chengcheng & Wang, Hai & Stojanovic, Vladimir & He, Shuping, 2024. "Finite-region asynchronous H∞ filtering for 2-D Markov jump systems in Roesser model," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    • Handle: RePEc:eee:apmaco:v:470:y:2024:i:c:s0096300324000456
    DOI: 10.1016/j.amc.2024.128573
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    References listed on IDEAS

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    1. Wang, Guoliang, 2015. "Stochastic stabilization of singular systems with Markovian switchings," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 390-401.
    2. Guangchen Zhang & Weiqun Wang, 2017. "Finite-region stability and boundedness for discrete 2D Fornasini–Marchesini second models," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 778-787, March.
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