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New Stability and Stabilization Conditions of Switched Systems with Mode-Dependent Average Dwell Time

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Abstract

In this paper, the problems of stability and stabilization for switched systems with mode-dependent average dwell time (MDADT) switching are revisited and discussed in both continuous-time and discrete-time contexts. By introducing a class of quasi-alternative switching signals, some improved stability conditions of switched systems with MDADT are obtained. In our switching design strategy, slow switching and fast switching are, respectively, used among stable subsystems and unstable subsystems. Then, based on the stability result, stabilization conditions for switched linear systems comprising uncontrollable subsystems are presented to guarantee the underlying system to be exponentially stable. The criteria obtained for the considered switched linear systems are all provided in terms of a set of linear matrix inequalities. To illustrate the advantages of our established results, a numerical example is finally given.

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Acknowledgments

This work was partially supported by the National Natural Science Foundation of China (61203123, 61403041, 61573069), the Liaoning Excellent Talents in University (LR2014035), and Liaoning Provincial Natural Science Foundation, China (2015020053).

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Authors and Affiliations

  1. College of Engineering, Bohai University, Jinzhou, 121013, Liaoning, China

    Yunfei Yin, Xudong Zhao & Xiaolong Zheng

  2. Chongqing SANY High-Intelligent Robots Co., Ltd., Chongqing, 401120, China

    Xudong Zhao

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  1. Yunfei Yin
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  2. Xudong Zhao
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  3. Xiaolong Zheng
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Correspondence to Xudong Zhao.

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Yin, Y., Zhao, X. & Zheng, X. New Stability and Stabilization Conditions of Switched Systems with Mode-Dependent Average Dwell Time. Circuits Syst Signal Process 36, 82–98 (2017). https://doi.org/10.1007/s00034-016-0306-7

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  • DOI: https://doi.org/10.1007/s00034-016-0306-7

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