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Output feedback control for stochastic Markovian jumping systems via sliding mode design
Author(s) -
Chen Bei,
Niu Yugang,
Huang Heqing
Publication year - 2011
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.931
Subject(s) - control theory (sociology) , sliding mode control , observer (physics) , state observer , mode (computer interface) , controller (irrigation) , state space , markov process , state (computer science) , computer science , mathematics , control (management) , nonlinear system , physics , algorithm , statistics , artificial intelligence , quantum mechanics , agronomy , biology , operating system
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.