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H_/H∞ Filtering Fault Detection for Asynchronous Switched Discrete-time Linear Systems With Mode-dependent Average Dwell Time

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  • Control Theory and Applications
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Abstract

The filtering fault detection problem for asynchronous switched discrete-time linear systems with mode-dependent average dwell time (MDADT) is investigated in this paper. A series of mode-dependent fault detection filters are designed with respect to each subsystem and are equipped with the switched system to obtain an augmented switched system. For the fact that the switching of the filter lags behind that of the subsystem frequently in actual situations, the resulting augmented switched system is consequently converted into an asynchronous augmented switched system. To guarantee the globally uniformly exponentially stability (GUES) and the H_/H∞ performance of the asynchronous filtering fault detection system, multiple Lyapunov functional and MDADT techniques are then used. The starting instants set of the subsystem is proposed to make it more convenient to apply the MDADT technique. The sufficient conditions for the existence of the designed filter and stability of asynchronous augmented switched systems are given in terms of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed methodology is demonstrated by two examples.

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Authors and Affiliations

  1. School of Computer Science and Technology, Harbin University of Science and Technology, No. 52, Xuefu Road, Nangang District, Harbin, China

    Xian-Zhi Hao

  2. Heilongjiang Provincial Key Laboratory of Complex Intelligent System and Integration, the School of Computer Science and Technology and the School of Auomation, Harbin University of Science and Technology, No. 52, Xuefu Road, Nangang District, Harbin, China

    Jin-Jie Huang

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Correspondence to Jin-Jie Huang.

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Xian-Zhi Hao received his B.S. and M.S. degrees in automatic control from Harbin University of Science and Technology, Harbin, China, in 2015 and 2017, respectively, where he is currently working towards a Ph.D. degree in Harbin University of Science and Technology. His research interests include switching control, robust control, switched system, and asynchronous sequential machine.

Jin-Jie Huang received his B.S. and M.S. degrees in automatic control from Harbin University of Science and Technology, Harbin, China, in 1990 and 1997, respectively, and a Ph.D. degree in control theory and control engineering from Harbin Institute of Technology, Harbin, China, in 2004. He is currently a full Professor with the School of Automation, Harbin University of Science and Technology, Harbin, China. His research interests include linear system control, network control system, and nonliear control system.

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Hao, XZ., Huang, JJ. H_/H∞ Filtering Fault Detection for Asynchronous Switched Discrete-time Linear Systems With Mode-dependent Average Dwell Time. Int. J. Control Autom. Syst. 22, 430–445 (2024). https://doi.org/10.1007/s12555-022-0343-x

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  • DOI: https://doi.org/10.1007/s12555-022-0343-x

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