Abstract
This paper deals with the problem of robust stabilization for uncertain systems with input saturation and time delay in the state. The parameter uncertainties are time-varying and unknown but are norm bounded. Sufficient conditions obtained via a linear matrix inequality formulation are stated to guarantee the local stabilization. The method of synthesis consists in determining simultaneously a state feedback control law and an associated domain of safe admissible states for which the stability of the closed-loop system is guaranteed when control saturations effectively occur. Numerical examples are used to demonstrate the effectiveness of the proposed design technique.
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