Journal
OPTIMAL CONTROL APPLICATIONS & METHODS
Volume 30, Issue 5, Pages 477-494Publisher
WILEY
DOI: 10.1002/oca.870
Keywords
Markov jump systems; systems with random abrupt changes; partially known transition probabilities, H-infinity control; state feedback; discrete-time systems with random abrupt changes; bounded transition probabilities; LMI
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This paper deals with the class of discrete-time linear systems with random abrupt changes and unknown transition probabilities but varying between known bounds for each mode. The H-infinity control problem of this class of systems is revisited and new sufficient conditions are developed in the linear matrix inequality (LMI) setting to design the state-feedback controller that stochastically stabilizes the system under consideration and at the same time guarantees the disturbance rejection with a desired level gamma. Sufficient conditions for existence of the state-feedback controller are developed. It is shown that the addressed problem can be solved if the corresponding developed LMIs are feasible. Numerical examples are employed to show the usefulness of the proposed results. Copyright (C) 2008 John Wiley & Sons, Ltd.
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