Comparative Study of Anti-Swing Controllers for a Triple Link Rotary Pendulum System

This paper presents a study of the development of anti-swing control of a triple link rotary pendulum system (TLRPS). The motion nonlinear equations of the TLRPS are obtained using the Euler-Lagrange method based on the kinematic model and Denavit-Bartenberg (DH) convention. In this study three anti-swing controllers, linear-quadratic regulator (LQR), fuzzy linear-quadratic regulator (FLQR), and radial basis neuro-fuzzy linear quadratic regulator (RBNFLQR) are developed to control and eliminate the swing angles of the three links during the rotation. Moreover, the performance characteristics of the controllers are compared and examined in terms of their time response specifications parameters and swing angle elimination. Moreover, the robustness of controllers is tested under external torque disturbance. The simulation and experiment results of the response of the TLRPS are presented in time domains. Simulation and experiment results exhibit excellent control performance and robustness in terms of position control and damping oscillations elimination.