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A New Approach to Static Output Control of Uncertain Continuous Markov Jump Linear Systems

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Abstract

This paper is concerned with the static output stabilization of uncertain continuous Markov jump linear systems with partly known transition probabilities. Uncertainties in system output matrices are addressed in terms of norm-bounded and polytopic formulations. Adopting a new separation technique, sufficient conditions for designing static output controllers are established in terms of linear matrix inequalities. Compared with the existing results, the proposed methods do not impose equality constraints and calculate the null space of output matrices. A numerical example is given to show the effectiveness of the proposed method.

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Acknowledgments

We would like to thank the Editor-In-Chief Prof. M.N.S. Swamy, the Associate Editor, and the reviewers for the comments that helped to improve the quality of the paper. This work is supported in part by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2013R1A1A2A10005201); the National Natural Science Foundation of China (Grant Nos. 61273155, 61273119, 61322312, 61403189); the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20130949); the Doctoral Foundation of Ministry of Education of China (Grant No. 20133221120012); the Natural Science Foundation of Jiangsu Provincial Universities of China (Grant No. 13KJB120004); the Jiangsu Postdoctoral Science Foundation (Grant No. 401015B); a Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 201157); the Fok Ying Tung Education Foundation (Grant No. 141060), the IAPI Fundamental Research Funds (Grant No. 2013ZCX01-02), Key Laboratory Foundation of Advanced Control and Optimization for Chemical Processes (Grant No. 2015ACOCP01).

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Authors and Affiliations

  1. College of Automation and Electrical Engineering, Nanjing Technology University, Nanjing, 211816, China

    Mouquan Shen

  2. Key Laboratory of Advanced Control and Optimization for Chemical Processes, Shanghai, 200237, China

    Mouquan Shen

  3. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyonsan, 712-749, Republic of Korea

    Mouquan Shen & Ju H. Park

  4. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Dan Ye

  5. School of Automation, Southeast University, Nanjing, 210096, China

    Shuimin Fei

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  1. Mouquan Shen
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  2. Dan Ye
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Correspondence to Ju H. Park.

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Shen, M., Ye, D., Fei, S. et al. A New Approach to Static Output Control of Uncertain Continuous Markov Jump Linear Systems. Circuits Syst Signal Process 34, 2517–2535 (2015). https://doi.org/10.1007/s00034-015-9986-7

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  • DOI: https://doi.org/10.1007/s00034-015-9986-7

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