15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
ASYMPTOTIC STABLE TRACKING FOR ROBOT MANIPULATORS VIA SECTORIAL FUZZY CONTROL
Victor Santibañez,* Rafael Kelly** and Miguel Llama*
* Instituto Tecnolόgico de a L aguna
Apdo. Postal 49, Adm. 1
Torreόn, Coahuila, 27001, MEXICO
e-mail: vsantiba@itlalaguna.edu.mx,
Fax: + 52 (871) 7–13–09–70
** Divisi on de Fsica Aplicada, CICESE
Apdo. Postal 2615, Adm. 1,
Carreter a Tijuana–Ensenada Km. 107
Ensenada, B.C., 22800, MEXICO
e-mail: rkelly@cicese.mx, Fax: +52 (646) 1–75–05–54

This paper shows that fuzzy control systems satisfying sectorial properties are effective for motion tracking control of robot manipulators. We propose a controller whose structure is composed by a sectorial fuzzy controller plus a full non--linear robot dynamics compensation, in such a way that this structure leads to a very simple closed--loop system represented by an autonomous non--linear differential equation. We demonstrate via Lyapunov theory, that the closed--loop system is globally asymptotically stable. Experimental results show the performance of the proposed controller.
Keywords: Fuzzy control, stabilit y analysis, robot control
Session slot T-We-A20: Multi-Robot Systems/Area code 1d : Robotics