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Delay-dependent Robust and Non-fragile Stabilization for Descriptor Systems with Parameter Uncertainties and Time-varying Delays  

Kim, Jong-Hae (선문대학교 전자공학부)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.57, no.10, 2008 , pp. 1854-1860 More about this Journal
Abstract
In this paper, we deal with the problem of delay-dependent robust and non-fragile stabilization for descriptor systems with parameter uncertainties and time-varying delays on the basis of strict LMI(linear matrix inequality) technique. Also, the considering controller is composed of multiplicative uncertainty. The delay-dependent robust and non-fragile stability criterion without semi-definite condition and decomposition of system matrices is obtained. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free and stable in spite of all admissible parameter uncertainties, time-varying delays, and controller fragility. Numerical examples are presented to demonstrate the effectiveness of the proposed method.
Keywords
Discrete-time descriptor systems; Non-fragile control; Parameter uncertainty; LMI;
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