15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
A DISCONTINUOUS CONTROL FOR ROBOTIC MANIPULATORS WITH COULOMB FRICTION
Joaquin Alvarez, Iouri Orlov, Roque Martinez
Scientific Research and Advanced Studies Center of Ensenada
(CICESE), Km 107 Carr. Tij-Ens, 22860 Ensenada, BC, Mexico

A nonsmooth controller design procedure for the regulation of a class of m-DOF mechanical manipulators with viscous and Coulomb friction is presented. Based on an invariance principle developed elsewhere, a discontinuous controller that uses only position measurement feedback is proposed. It is proved that the origin of the closed-loop system is globally and asymptotically stable. A discontinuous observer is also proposed to estimate the velocity and improve the performance of the controlled system. This kind of nonsmooth observer is important to achieve the global asymptotic stability of the closed-loop system. It is shown that the combination controller-observer can tolerate uncertainty in the friction coefficients if a bound on these parameters is known.
Keywords: Discontinuous control, Sliding mode, Observers, Robotic manipulators, Coulomb friction
Session slot T-Tu-M04: Flexible and Nonlinear Robots/Area code 1d : Robotics