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http://dx.doi.org/10.5302/J.ICROS.2009.15.2.121

Delay-Dependent Robust Stabilization and Non-Fragile Control of Uncertain Discrete-Time Singular Systems with State and Input Time-Varying Delays  

Kim, Jong-Hae (선문대학교 전자공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.15, no.2, 2009 , pp. 121-127 More about this Journal
Abstract
This paper deals with the design problem of robust stabilization and non-fragile controller for discrete-time singular systems with parameter uncertainties and time-varying delays in state and input by delay-dependent Linear Matrix Inequality (LMI) approach. A new delay-dependent bounded real lemma for singular systems with time-varying delays is derived. Robust stabilization and robust non-fragile state feedback control laws are proposed, which guarantees that the resultant closed-loop system is regular, causal and stable in spite of time-varying delays, parameter uncertainties, and controller gain variations. A numerical example is given to show the validity of the design method.
Keywords
discrete-time singular systems; LMI; non-fragile control; robust stabilization; time-varying delay;
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