OBSERVER-BASED CONTROLLER FOR DELAYED STATE LINEAR SINGULAR SYSTEMS

Based on Lyapunov-Krasovskii functional, this paper concerns an observer based stabilization problem for delayed state linear singular systems. The linear quadratic control is used and the state variables are provided by an observer. An observer based controller, in which the influence of the time-delays is considered, the design of the controller and observer are separated. LMIs Delay-dependent sufficient conditions for stabilizability is established. Some numerical examples are provided to show the usefulness of the proposed results.