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Simultaneous Fault Detection and Control for Markovian Jump Systems with General Uncertain Transition Rates

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  • Control Theory and Applications
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Abstract

This paper investigates the simultaneous control and fault detection of Markovian jump systems with general transition rates allowed to be unknown and known with uncertainties. By introducing slack matrices, a new approach is developed to conquer the nonlinearity induced by unknown and uncertain transition rates. Then, sufficient conditions are presented to ensure the stochastic stability of the resultant closed-loop system and meet the robust and detection performance indices. Finally, an example is given to illustrate the effectiveness of the proposed theoretical results.

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Authors and Affiliations

  1. College of Electrical Engineering and Control Science, Nanjing Tech. University, Nanjing, Jiangsu, 211816, China

    Li-Wei Li, Mouquan Shen & Wen Qin

Authors
  1. Li-Wei Li
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  2. Mouquan Shen
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  3. Wen Qin
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Corresponding author

Correspondence to Mouquan Shen.

Additional information

Recommended by Associate Editor Guang-Hong Yang under the direction of Editor Duk-Sun Shim. This work was supported in part by the National Natural Science Foundation of China under Grant 61403189, Grant 61803197 and Grant 61773200, in part by the Peak of Six Talents in Jiangsu Province under Grant 2015XXRJ-011, in part by the China Postdoctoral Science Foundation under Grant 2015M570397, in part by the Doctoral Foundation of Ministry of Education of China under Grant 20133221120012, in part by the Natural Science Foundation of Jiangsu Province of China, under Grant BK20130949 and BK20171019.

Li-Wei Li received the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2017. She is currently a lecturer with Nanjing Technology University, Nanjing, China. Her current research interests include Markov jump systems, decentralized control, and fault detection.

Mouquan Shen received the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2011. He is currently an Associate Professor with Nanjing Technology University, Nanjing, China. His current research interests include Markov jump systems, robust control, and networked control systems.

Wen Qin received the Ph.D. degree in control science and control engineering from Nankai University, Tianjing, China, in 2015. She is currently a lecturer with Nanjing Technology University, Nanjing, China. Her current research interests include Multi-agent systems, robust control and consensus control.

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Li, LW., Shen, M. & Qin, W. Simultaneous Fault Detection and Control for Markovian Jump Systems with General Uncertain Transition Rates. Int. J. Control Autom. Syst. 16, 2074–2081 (2018). https://doi.org/10.1007/s12555-017-0607-z

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  • DOI: https://doi.org/10.1007/s12555-017-0607-z

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