Output feedback control of second-order systems via Lipschitz continuous sliding modes

Oscar Texis-Loaiza, Manuel A. Estrada, Leonid Fridman, Jaime A. Moreno, Arie Levant

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents an output feedback approach for second-order systems with non-vanishing perturbations. The proposed approach allows us to compensate for non-vanishing Lipschitz perturbations theoretically exactly while generating a Lipschitz continuous control signal, reducing the energy consumption by the control. To achieve such a Lipschitz continuous sliding mode control, we propose a homogeneous third-order sliding mode control law and a second-order sliding mode observer; then, we prove the finite-time stable equilibrium in a closed loop with the system. The feasibility of the result is shown through a simulation example.

Original languageEnglish
Title of host publication2024 17th International Workshop on Variable Structure Systems, VSS 2024
PublisherIEEE Computer Society
Pages220-225
Number of pages6
ISBN (Electronic)9798350353686
DOIs
StatePublished - 2024
Event17th International Workshop on Variable Structure Systems, VSS 2024 - Abu Dhabi, United Arab Emirates
Duration: 21 Oct 202424 Oct 2024

Publication series

NameProceedings of IEEE International Workshop on Variable Structure Systems

Conference

Conference17th International Workshop on Variable Structure Systems, VSS 2024
Country/TerritoryUnited Arab Emirates
CityAbu Dhabi
Period21/10/2424/10/24

Keywords

  • disturbance rejection
  • finite-time convergence
  • High-order sliding-mode control
  • Lyapunov methods
  • robust control

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this