Design and Analysis of a Robust Control System for Triple Inverted Pendulum Stabilization

The design of robust controllers for triple inverted pendulum systems presents significant challenges due to their inherent instability and nonlinear dynamics. Furthermore, uncertainties in system parameters further complicate the control design. This paper investigates a robust control strategy for triple inverted pendulums under parameter uncertainty. Two control approaches, namely the $H_{\mathrm{\infty }}$ controller and the $\mu$-synthesis controller, are compared in terms of their ability to achieve reference tracking and disturbance rejection. Simulation results demonstrate that the $H_{\mathrm{\infty }}$ controller provides superior transient performance, making it a promising solution for the robust stabilization of such complex systems.