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Robust Stabilization and Guaranteed Cost Control for Discrete-time Singular Systems with Parameter Uncertainties  

Kim, Jong-Hae (Department of Electronic Eng., Sun Moon University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.46, no.3, 2009 , pp. 15-21 More about this Journal
Abstract
In this paper, we consider the design problem of robust stabilization and robust guaranteed cost state feedback controller for discrete-time singular systems with parameter uncertainties by LMI(linear matrix inequality) approach without semi-definite condition and decomposition of system matrices. The objective of robust stabilization controller is to construct a state feedback controller such that the closed-loop system is regular, causal, and stable. In the case of robust guaranteed cost control, the optimal value of guaranteed cost and controller design method are presented on the basis of robust stabilization control technique. Finally, a numerical example is provided to show the validity of the design methods.
Keywords
Discrete-time singular systems; robust stabilization; robust guaranteed cost control; LMI;
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