Title :
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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426483
