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Output Feedback Passification of Saturated Switched Systems Under the Improved State-Dependent Switching

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Abstract

This paper focuses on the passivity analysis and feedback passification of discrete-time switched systems with actuator saturation. The proposed framework consists of a switching law and a bank of time-varying output feedback controllers. The switching law is depending on partial state measurements and switching-delay slack matrix, which avoid the possible too frequent switching caused by the classical state-dependent switching law. The resulting time-varying saturated controllers associated with the switching law are constructed to guarantee the passivity of the closed-loop systems. In addition, the performance index measuring the level of unknown input tolerance capacity of the systems can be also estimated. Sufficient conditions for the existence of the switching law and controllers are provided via Lyapunov–Metzler inequalities. Finally, the effectiveness of the theoretical results is illustrated through an example derived from the stirred tank reactor.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grants 61304058, 61233002 and 61603117, and IAPI Fundamental Research Funds under Grant 2013ZCX03-01, and Scientific Research Foundation of Hangzhou Dianzi University under Grant ZX160203302002-004.

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Authors and Affiliations

  1. College of Science, China Jiliang University, Hangzhou, 310018, People’s Republic of China

    Xiao-Qi Zhao

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

    Xiao-Qi Zhao & Jun Zhao

  3. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, People’s Republic of China

    Xiao-Qi Zhao & Jun Zhao

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  1. Xiao-Qi Zhao
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  2. Jun Zhao
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Correspondence to Xiao-Qi Zhao.

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Zhao, XQ., Zhao, J. Output Feedback Passification of Saturated Switched Systems Under the Improved State-Dependent Switching. Circuits Syst Signal Process 36, 2223–2242 (2017). https://doi.org/10.1007/s00034-016-0414-4

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  • DOI: https://doi.org/10.1007/s00034-016-0414-4

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