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Robust finite-time output regulation by variable structure control

In this paper we deal with robust finite-time output regulation problem for linear and nonlinear systems driven by exosystems with uncertain disturbances. Unlike most of the existing results, the exosystem is nonautonomous and involves bounded unmodeled uncertainties. A design method of variable structure controller is presented and it is shown that the global robust finite-time output regulation can be achieved. Illustrative example is shown to demonstrate the efficiency of the proposed approach.