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Dynamic Anti-Windup Control Design for Markovian Jump Delayed Systems with Input Saturation

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Abstract

This paper deals with the problem of robust stabilization for Markovian jump delayed systems with partially known transition rates subject to input saturation. The problem we address is the design of dynamic anti-windup compensators, which guarantee that the resulting closed-loop constrained systems are robustly mean-square stable. By employing local sector conditions and an appropriate Lyapunov-Krasovskii function, some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of proposed method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under grant 61104007, the Key Foundation of Natural Science for Colleges and Universities in Anhui province under grant KJ2012A049, the Research Foundation for Young Scientists of Anhui University of Technology under Grant QZ201112.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Junjie Zhao

  2. School of Electrical Engineering and Information, Anhui University of Technology, Ma’anshan, 243002, China

    Jing Wang & Hao Shen

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  1. Junjie Zhao
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  2. Jing Wang
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  3. Hao Shen
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Correspondence to Hao Shen.

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Zhao, J., Wang, J. & Shen, H. Dynamic Anti-Windup Control Design for Markovian Jump Delayed Systems with Input Saturation. Circuits Syst Signal Process 32, 2213–2229 (2013). https://doi.org/10.1007/s00034-013-9560-0

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  • DOI: https://doi.org/10.1007/s00034-013-9560-0

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