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Delay-dependent robust stabilization for uncertain singular systems with state delay. (English) Zbl 1164.93407

Summary: This paper considers the problem of delay-dependent robust stabilization for uncertain singular delay systems. In terms of Linear Matrix Inequality (LMI) approach, a delay-dependent stability criterion is given to ensure that the nominal system is regular, impulse free, and stable. 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 for all admissible uncertainties. An explicit expression for the desired controller is also given. Some numerical examples are provided to illustrate the validity of the proposed methods.

MSC:

93D21 Adaptive or robust stabilization
15A39 Linear inequalities of matrices
93B52 Feedback control
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