Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 40, Issue 3, Pages 255-265Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207720802300347
Keywords
linear matrix inequalities (LMIs); Markovian parameters; robust H2 control; uncertainties
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Funding
- RGC [HKU 7029/05P]
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This article deals with the robust H2 control problem for a class of Markovian jump linear systems with uncertain switching probabilities. The uncertainties under consideration appear both in the system parameters and in the mode transition rates. First, a new criterion based on linear matrix inequalities is established for checking the robust H2 performance of the uncertain system. Then, a sufficient condition for the existence of the state-feedback controllers is established such that the closed-loop system is quadratically mean square stable and has a certain level of robust H2 performance in terms of linear matrix inequalities with equality constraints. A globally convergent algorithm is also presented to construct such controllers effectively. Finally, an illustrative numerical example is used to demonstrate the developed theory.
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