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Sliding Mode Control for Uncertain Markov Switched Systems

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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

Citation:

Cite this paper

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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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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