Design Method of Gain-Scheduled Control System Considering Actuator Saturation

(Experimental Verification for Cart and Inverted Pendulum System)

Abstract

In this paper, we propose a method of control system design which takes the actuator saturation into consideration. By using a hyperbolic tangential function as the saturation function, we introduce both the time derivative of the controller output and the anti-windup control structure with the feedback loop of the error between the controller output and the saturation function output. Furthermore, we formulate a linear parameter-varying system to design the gain-scheduled controller. The effectiveness of our proposed method is verified by carrying out the experiments of the positioning control for a cart and inverted pendulum system.