This paper presents a reduced-order memoryless state observer with a /spl gamma/-stability margin (0>/spl gamma/>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.
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