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Robust Stabilization of Discrete-Time Positive Switched Systems with Uncertainties and Average Dwell Time Switching

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Abstract

This paper studies robust problems of a class of discrete-time positive switched systems with uncertainties. The uncertainties refer to interval and polytopic uncertainties. By means of the multiple linear copositive Lyapunov functions approach, the robust stability of autonomous systems with average dwell time is solved. Then, the control synthesis of non-autonomous systems with average dwell time is discussed. State-feedback and output-feedback controllers are designed to guarantee the robust stabilization of the considered systems, respectively. All present conditions are solvable in terms of linear programming. Finally, several simulation examples are given to 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 partially supported by the National Natural Science Foundation of China under Grants Nos. 61074003, 51277120, and 61203123, and the Jiangsu Planned Projects for Postdoctoral Research Funds under Grant No. 1202043C.

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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 & Hai Wu

  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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  3. Hai Wu
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Correspondence to Junfeng Zhang.

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Zhang, J., Han, Z., Wu, H. et al. Robust Stabilization of Discrete-Time Positive Switched Systems with Uncertainties and Average Dwell Time Switching. Circuits Syst Signal Process 33, 71–95 (2014). https://doi.org/10.1007/s00034-013-9632-1

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  • DOI: https://doi.org/10.1007/s00034-013-9632-1

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