State and input simultaneous estimation for a class of time-delay systems with uncertainties
Trinh, Hieu and Ha, Q. 2007, State and input simultaneous estimation for a class of time-delay systems with uncertainties, IEEE transactions on circuits and systems. II, Express briefs, vol. 54, no. 6, pp. 527-531.
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This brief addresses the problem of estimation of both the states and the unknown inputs of a class of systems that are subject to a time-varying delay in their state variables, to an unknown input, and also to an additive uncertain, nonlinear disturbance. Conditions are derived for the solvability of the design matrices of a reduced-order observer for state and input estimation, and for the stability of its dynamics. To improve computational efficiency, a delay-dependent asymptotic stability condition is then developed using the linear matrix inequality formulation. A design procedure is proposed and illustrated by a numerical example.
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