In this paper, the problem of the asymptotic state estimator design for a class of time-lag systems with state saturation nonlinearities is explored. A simple criterion is established to guarantee the asymptotic convergence of the observation error between the observer state estimate and the true state. Such a criterion can be view as the dual to static output feedback controller for a class of time-lag systems with multiple time-varying delays. At last, an upper bound of arbitrary time-varying delays is also derived to assure the observation error can converge asymptotically to zero.
Saturation nonlinearities, time-lag systems, dual problem, static output feedback control
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