Sliding Mode Control for Uncertain Markov Switched Systems

Zhao Lan He; Zong Ze Liu; Xian Xian Tang

doi:10.4028/www.scientific.net/AMM.740.278

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 740Sliding Mode Control for Uncertain Markov Switched...

Sliding Mode Control for Uncertain Markov Switched Systems

Abstract:

This Paper deals with the sliding mode control of a class of uncertain Markov switched systems. By using linear transformation, the system is transformed into standard type. A sufficient condition of the existence of a sliding mode dynamics is derived, and an explicit parameterization of desired sliding surface is also given. A sliding mode controller is then designed to guarantee exponential stability of the overall switched closed-loop system. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approaches.

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Periodical:

Applied Mechanics and Materials (Volume 740)

Pages:

278-282

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.740.278

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Online since:

March 2015

Authors:

Zhao Lan He*, Zong Ze Liu, Xian Xian Tang

Keywords:

Exponential Stability, Linear Matrix Inequalities, Markov Jumping Systems, Sliding Mode Control

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* - Corresponding Author

References

[1] Y. Ji, H.J. Chizech. Controllability, observability and discrete-time Markovian jump linear quadratic control. International Journal of Control. 1988, 48(2): 481-498.

DOI: 10.1080/00207178808906192

Google Scholar

[2] Y. Ji, H. J. Chlzech. Controllability, stabiliZability, and continuous-time Markovian Jump linear quadratic control. IEEE Transaction on Automatic Control. 1990, 35(7): 777-788.

DOI: 10.1109/9.57016

Google Scholar

[3] Q. Jiang, H. Xi; B. Yin. Optimization of Semi-Markov switching state-space control processes for network communication systems. Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007: 707-711.

DOI: 10.1109/chicc.2006.4347515

Google Scholar

[4] Y. Niu, D. W. C. Ho, X. Wang. Sliding mode control for Ito stochastic systems with Markovian switching. Automatica. 2007, 43(10): 1784-1790.

DOI: 10.1016/j.automatica.2007.02.023

Google Scholar

[5] P. Shi, Y. Xia, G. P. Liu, D. Rees. On Designing of Sliding-Mode Control for Stochastic Jump Systems. IEEE Transactions on Automatic Control. 2006, 51(1): 97-103.

DOI: 10.1109/tac.2005.861716

Google Scholar

[6] M. Mariton. Jump Linear Systems in Automatic Control. New York: Marcel Dekker. (1990).

Google Scholar

[7] Y. Xue, L. Yin, B. Zheng. Quantized feedback control for a class of uncertain linear systems via supervisory-based sliding mode control. Proceedings of the 33rd Chinese Control Conference, 2014: 4283-4287.

DOI: 10.1109/chicc.2014.6895657

Google Scholar

[8] P. Li, J. Ma, L. Geng. Robust Adaptive Sliding Mode Control for Uncertain Nonlinear MIMO System with Guaranteed Error Bounds. Proceedings of the 33rd Chinese Control Conference, 2014: 109-114.

DOI: 10.1109/chicc.2014.6896605

Google Scholar