A robust adaptive sliding mode controller for robot manipulators

Abstract

In this paper, a novel adaptive sliding mode control for rigid robot manipulators is proposed. In the considered system, since there may exist explicit unknown system parameters and also perturbations, a lyapunov based approach is presented to increase system robustness, even in presence of arbitrarily large (but not infinite) discontinuous perturbations. The design contains two different phases of adaptation. The first one is related to the robot parameters and the other is accounted for perturbation estimating. A continuous controller is presented from the first step of design procedure. We try to prove the stability in the sense of lyapunov and derive adaptive laws and uniform ultimate boundedness in the worst condition. Simulation results for two degrees of freedom rigid robot manipulator effectively demonstrate the capability of mentioned approach.