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Stabilization of Discrete-Time Positive Switched Systems

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Abstract

This paper addresses the stabilization for a class of discrete-time positive switched systems. Based on the average dwell time switching strategy, the stabilization of the underlying systems in the autonomous form is studied. Further, the control synthesis of non-autonomous systems is discussed. The state-feedback and output-feedback controllers are constructed, respectively. All the present conditions are solvable in terms of linear programming. Finally, four simulation examples illustrate the validity of the design.

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Acknowledgements

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions to improve the quality of this paper. This work was supported by the National Natural Science Foundation of People’s Republic of China (No. 61074003).

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Authors and Affiliations

  1. School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Junfeng Zhang & Zhengzhi Han

  2. School of Mechanical and Electrical Engineering, Soochow University, Suzhou, 215021, China

    Jun Huang

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  1. Junfeng Zhang
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  2. Zhengzhi Han
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Correspondence to Junfeng Zhang.

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Zhang, J., Han, Z. & Huang, J. Stabilization of Discrete-Time Positive Switched Systems. Circuits Syst Signal Process 32, 1129–1145 (2013). https://doi.org/10.1007/s00034-012-9510-2

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