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H∞ filter design for switched descriptor systems with different derivative term matrices

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  • Shi, Jiasheng
  • Zhao, Jun

Abstract

This paper takes into consideration the H∞ filtering problem based on L2-gain analyses for switched descriptor systems. To start with, the state jumps that have been ignored for the existing results in the literature are precisely characterized for the filtering error system at the switching moments utilizing a mode-dependent coordinates transformation for the first time. Next, by utilizing multiple Lyapunov functions scheme, sufficient conditions are came up with ensuring the exponential stability as well as weighted H∞ performance for the filtering error system under average dwell time. In addition, the corresponding filter parameters are gained by solving a series of LMIs. Finally, a numerical example and the ladder step-up SC converter model certify that the presented H∞ filtering design scheme is effective.

Suggested Citation

  • Shi, Jiasheng & Zhao, Jun, 2024. "H∞ filter design for switched descriptor systems with different derivative term matrices," Applied Mathematics and Computation, Elsevier, vol. 460(C).
    • Handle: RePEc:eee:apmaco:v:460:y:2024:i:c:s0096300323004630
    DOI: 10.1016/j.amc.2023.128294
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    References listed on IDEAS

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    1. Weiming Xiang & Jian Xiao, 2011. "filtering for switched nonlinear systems under asynchronous switching," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 751-765.
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