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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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