A single PD plus gravity compensation control for global asymptotic regulation of robot manipulators with actuator constraints

This paper addresses the problem of global asymptotic regulation for robot manipulators subject to actuator constraints and a single saturation function for every joint. A saturated proportional-derivative (PD) plus gravity compensation (PD+) control is designed. The proposed saturated PD+ (SPD+) controller is conceived within only a single saturation function for every joint. The benefit of such design is that it does not need to elaborately discriminate the terms that shall be bounded, and thus it is ready for implementation with an improved performance. Lyapunov theory is employed to show global asymptotic stability. Simulations are performed to verify the improved performance of the proposed approach.