Finite-time stabilization of nonlinear polytopic systems: A control Lyapunov function approach

Abstract

This paper addresses the finite-time stabilization of nonlinear polytopic systems. Sufficient conditions are proposed for the existence of a continuous time-invariant finite-time stabilizing state feedback controller through a robust control Lyapunov function. It is shown that the obtained sufficient condition is also necessary if there exists a state feedback controller such that the closed-loop system has a robust Lyapunov function for all possible uncertainties. Finally, to verify the efficacy of the proposed control design, a numerical example is presented. © 2022 The Author(s) 2022. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.