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Received:September 24, 2004Revised:December 12, 2005 |
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An improved robust stability and robust stabilization method for linear discrete-time uncertain systems |
Xianming ZHANG, Min WU, Jinhua SHE, Dongsheng HAN |
(School of Information Science and Engineering,
Central South University, Changsha Hunan 410083, China;School of Mathematical Science and Computing Technology,
Central South University, Changsha Hunan 410083, China;School of Bionics,
Tokyo University) |
Abstract: |
This paper addresses the problems of the robust stability and robust
stabilization of a discrete-time system with polytopic
uncertainties. A new and simple method is presented to directly
decouple the Lyapunov matrix and the system dynamic matrix.
Combining this method with the parameter-dependent Lyapunov function
approach yields new criteria that include some existing ones as
special cases. A numerical example illustrates the improvement over
the existing ones. |
Key words: Robust stability Robust stabilization Parameter-dependent Lyapunov
function Linear matrix inequality |