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Delay-dependent robust stabilizability of singular linear systems with delays. (English) Zbl 1167.93396
Summary: This article deals with the class of continuous-time singular uncertain linear systems with time-varying delay in the state vector. The uncertainties we are considering are of norm bounded type. Delay-dependent sufficient conditions on robust stability and robust stabilizability are developed. A design algorithm for a memoryless state feedback controller which guarantees that the closed-loop dynamics will be regular, impulse-free, and robust stable is proposed in terms of the solutions to linear matrix inequalities.
MSC:
93D21Adaptive or robust stabilization
93D09Robust stability of control systems
93D15Stabilization of systems by feedback
15A39Linear inequalities of matrices
93C15Control systems governed by ODE
93C41Control problems with incomplete information