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An LMI-based variable structure control for a class of uncertain singular Markov switched systems

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Abstract

An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results.

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Authors and Affiliations

  1. Institute of Automation, Qufu Normal University, Rizhao, Shandong, 276826, China

    Lijun Gao & Yuqiang Wu

Authors
  1. Lijun Gao
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  2. Yuqiang Wu
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Corresponding author

Correspondence to Lijun Gao.

Additional information

This work was supported by the National Natural Science Foundation of China (No.60574007, 60674027).

Lijun GAO was born in 1977. She now is a Ph. D. candidate in the Research Institute of Automation at Qufu Normal University, Shandong Province. Her research interests include stochastic control and adaptive control.

Yuqiang WU was born in 1962. He received the Ph.D. degree in Automatic Control from Southeast University, China in 1994. Now he is a professor in the Institute of Automation, Qufu Normal University, China. His research interests include stochastic control, variable structure control, adaptive control.

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Gao, L., Wu, Y. An LMI-based variable structure control for a class of uncertain singular Markov switched systems. J. Control Theory Appl. 5, 415–419 (2007). https://doi.org/10.1007/s11768-006-6072-5

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  • DOI: https://doi.org/10.1007/s11768-006-6072-5

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