Abstract
This paper deals with the problem of H ∞ full-order observer design for discrete-time linear singular systems with disturbance inputs and time-varying delay in state variables. A delay-dependent sufficient conditions is presented to guarantee the considered observer to be stable and satisfy the prescribed H ∞ performance γ. The main procedure is based on Lyapunov-Krasovskii stability theory, where the optimal gain in the observer is a solution of linear matrix inequalities (LMIs). A numerical example is given to shown the effectiveness of the presented approach.
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