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Output feedback control for stochastic Markovian jumping systems via sliding mode design

✍ Scribed by Bei Chen; Yugang Niu; Heqing Huang

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
358 KB
Volume
32
Category
Article
ISSN
0143-2087

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✦ Synopsis

Abstract

This paper deals with the output feedback sliding mode control for stochastic Markovian jumping systems with unmeasured states. A state observer is constructed to estimate the unmeasured states. And then, a state estimate‐based sliding mode controller is designed such that the sliding mode in the estimation space can be attained in finite time. Sufficient conditions are derived such that the sliding motions on the specified sliding surfaces are asymptotically stable in probability. It is noted that some specified matrices are introduced such that the connections among the designed sliding surfaces corresponding to every mode are established. Moreover, the present sliding mode controller including the transition rates of modes can cope with the effect of Markovian switching. Finally, a simulation example is shown to illustrate the proposed method. Copyright © 2010 John Wiley & Sons, Ltd.

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