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A memoryless state observer for discrete time-delay systems
This paper presents a reduced-order memoryless state observer with a γ-stability margin (0 < γ < 1) for linear discrete-time systems with multiple delays in both the state and control vectors. The dynamics of the observer are derived from a set of unstable and/or poorly damped eigenvalues of the system. A simple and systematic design method is presented. A numerical example is given to illustrate the properties of the new observer and its design method.