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H ∞ control for sochastic time-delayed Markovian switching systems with partly known transition rates and input saturation

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Abstract

The paper is concerned with the problem of H ∞ control for stochastic time-delayed Markovian switching systems with partly known transition rates and input saturation. By employing more appropriate Lyapunov- Krasovskii functional, a state feedback controller is designed to guarantee stochastic stability of the corresponding closed-loop system with H ∞ performance. A linear matrix inequality approach is employed to obtain the controller gain matrix. Two illustrative examples are provided to show the potential of the proposed techniques.

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Xianwen Gao, Lian Lian & Wenhai Qi

Authors
  1. Xianwen Gao
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  2. Lian Lian
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  3. Wenhai Qi
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Corresponding author

Correspondence to Lian Lian.

Additional information

Recommended by Associate Editor Jiuxiang Dong under the direction of Editor PooGyeon Park. This work is supported by Key Program of National Natural Science Foundation of China (61433004).

Xianwen Gao received his B.S. degree from Shenyang University of Chemical Technology in 1978 and M.S. degree from Northeastern University in 1993. In 1998, he received his Ph.D. degree in control theory and control engineering from Northeastern University. He is currently a professor in Northeastern University. His main research interests are modeling of complex industry process and intelligent control, stochastic jump systems, etc.

Lian Lian was born in Dandong, Liaoning Province, P. R. China, in 1981. She received her B.S. degree in telecommunication from Jilin University in 2004 and M.S. degree from Northeastern University in 2009. Now, she is a Ph.D. candidate in Northeastern University, Shen yang, P.R. China. Her research work focus on Markovian systems, stochastic time delay systems, etc.

Wenhai Qi was born in Taian, Shandong Province, P. R. China, in 1986. He received his B.S. degree in automation from Qufu Normal University in 2008 and his M.S. degree from Qufu Normal University in 2013. Now, he is a Ph.D. candidate in Northeastern University,Shenyang, P. R. China. His research work focus on Markovian systems, networked control systems, etc.

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Gao, X., Lian, L. & Qi, W. H ∞ control for sochastic time-delayed Markovian switching systems with partly known transition rates and input saturation. Int. J. Control Autom. Syst. 14, 637–646 (2016). https://doi.org/10.1007/s12555-015-0032-0

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