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Sliding mode control design for uncertain time-delay systems subjected to a class of nonlinear inputs. (English) Zbl 1023.93015

A time-delay system is considered in the presence of unknown nonlinear parameter perturbations with respect to the current state and delayed state, respectively. A sufficient condition for asymptotic stability in the large (in terms of a positive solution to a suitable algebraic Riccati equation) is proved. Based on this condition, a sliding mode controller is proposed for uncertain time-delay control systems with input nonlinearities and unmatching perturbations. Some illustrative examples are also presented.

MSC:

93B12 Variable structure systems
93C23 Control/observation systems governed by functional-differential equations
93D20 Asymptotic stability in control theory
93D21 Adaptive or robust stabilization
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