On the finite-Time stabilization of a nonlinear uncertain dynamics via switched control

Abstract This paper concerns the finite-time control problem for a class of nonlinear uncertain SISO dynamics with relative degree three. We assume that the measurements are corrupted by uncertain nonlinearities so that the sign of the phase variables is the only reliable information available for feedback. The stabilizing properties of a switching control scheme commuting between two unstable structures are demonstrated. Constructive proof and computer simulations are provided.

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