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

Abstract : 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.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-03521744
Contributor : Sorin Olaru Connect in order to contact the contributor
Submitted on : Tuesday, January 11, 2022 - 5:48:26 PM
Last modification on : Monday, January 17, 2022 - 7:27:55 AM

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Sandeep Kumar Soni, Shyam Kamal, Sandip Ghosh, Sorin Olaru. Finite-time stabilization of nonlinear polytopic systems: a control Lyapunov function approach. IMA Journal of Mathematical Control and Information, Oxford University Press (OUP), 2022, ⟨10.1093/imamci/dnab044⟩. ⟨hal-03521744⟩

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