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Journal Articles IMA Journal of Mathematical Control and Information Year : 2022

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

Sandeep Kumar Soni
  • Function : Author
Shyam Kamal
  • Function : Author
Sandip Ghosh
  • Function : Author
Sorin Olaru

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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Dates and versions

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

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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, 2022, ⟨10.1093/imamci/dnab044⟩. ⟨hal-03521744⟩
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