Lyapunov stability of a Hybrid Impulsive-sliding mode adaptive controller for second order system

Author

Glumineau, A. ; Shtessel, Yuri ; Plestan, F.

Author_Institution

Ecole Centrale de Nantes, LUNAM Univ., Nantes, France

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

5477

Lastpage

5481

Abstract

The Lyapunov stability of a double integrator controlled by a discontinuous-impulsive feedback with adaptation is developed. Following previous results of the authors the gain of the impulsive control is adapted to minimize the time convergence to zero of the double integrator dynamics when the impulsive control is applied. The impulsive-sliding mode adaptive controller applied to the second order system is considered as an hybrid system. The stability of this hybrid system is studied using special Lyapunov functions.

Keywords

Lyapunov methods; adaptive control; minimisation; sampled data systems; stability; variable structure systems; Lyapunov functions; Lyapunov stability; discontinuous-impulsive feedback; double integrator dynamics; hybrid impulsive-sliding mode adaptive controller; impulsive control gain; second order system; time convergence minimization; Adaptive systems; Convergence; Lyapunov methods; Output feedback; Stability analysis; Switches; Hybrid system; Lyapunov stability; Sliding mode; adaptive control; impulsive control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426483

Filename

6426483