Finite-time stabilization of nonlinear polytopic systems: a control Lyapunov function approach - CentraleSupélec Access content directly
Journal Articles IMA Journal of Mathematical Control and Information Year : 2022

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.

Domains

Automatic
No file

Dates and versions

hal-03521744 , version 1 (11-01-2022)

Identifiers

Cite

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, 2022, ⟨10.1093/imamci/dnab044⟩. ⟨hal-03521744⟩
116 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More