Optimal Lyapunov function selection for reaching time estimation of Super Twisting algorithm

Author

Dávila, Alejandro ; Moreno, Jaime A. ; Fridman, Leonid

Author_Institution

Programa de Maestria y Doctorado en Ing. Electr.(control), Univ. Nac. Autonoma de Mexico, Mexico City, Mexico

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

8405

Lastpage

8410

Abstract

In this paper we propose a whole family of quadratic-like strong Lyapunov functions for the Super Twisting algorithm. They show that all trajectories converge in finite time to the origin, and a formula to estimate the convergence time for the considered family of Lyapunov functions is proposed. A methodology to select the Lyapunov function, providing for better estimation of the convergence time, is presented. The obtained results are illustrated through simulation.

Keywords

Lyapunov methods; convergence; optimal control; variable structure systems; convergence time; finite time; optimal Lyapunov function selection; quadratic like strong Lyapunov function; super twisting algorithm; time estimation; Algorithm design and analysis; Control systems; Convergence; Estimation error; Frequency domain analysis; Linear systems; Lyapunov method; Robustness; Sliding mode control; Switches; Sliding Modes; Variable Structure Control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400466

Filename

5400466