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Simultaneous Fault Detection and Control for Discrete-Time Switched Systems

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Abstract

This paper studies the simultaneous fault detection and robust control problem for discrete-time switched systems. A switching law and output feedback-based controller/detectors are designed to meet control and detection objectives. In state-dependent switching framework, the proposed switching law uses only the partial measurable states of the closed-loop switched system, which is easy to design and realize. Under the switching law, some regions in which each subsystem is activated are first constructed. Sufficient conditions are then provided such that the sensitivity to faults and robustness to unknown inputs are guaranteed in these regions, and not necessarily everywhere. Thus, the closed-loop system is with the detection and robust performances even if all subsystems are without them, which reduces the performance requirements for each subsystem in time-dependent switching framework. A solution of the considered problem is obtained via linear matrix inequalities. Finally, an example is given to show the effectiveness of the proposed method.

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Acknowledgments

This work was supported in part by the Funds of National Science of China (Grant Nos. 61273148, 61420106016), the Foundation for the Author of National Excellent Doctoral Dissertation of PR China (Grant No. 201157), and the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries (Grant No. 2013ZCX01).

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Guang-Xin Zhong & Guang-Hong Yang

  2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, China

    Guang-Hong Yang

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  1. Guang-Xin Zhong
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Correspondence to Guang-Xin Zhong.

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Zhong, GX., Yang, GH. Simultaneous Fault Detection and Control for Discrete-Time Switched Systems. Circuits Syst Signal Process 34, 3811–3831 (2015). https://doi.org/10.1007/s00034-015-0044-2

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  • DOI: https://doi.org/10.1007/s00034-015-0044-2

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