Stabilization of the rotational inverted pendulum using mixed H 2/H∞ PID controller

Abstract

This paper proposes a mixed H2/H∞ optimal PID controller with a genetic algorithm based on the dynamic model of a Rotational Inverted Pendulum (RIP) and applies it for balancing control. In the dynamic model of the rotational inverted pendulum with perturbation, the proposed controller guarantees robust and optimal performance to the stabilization of the rotational inverted pendulum. A genetic algorithm was used to obtain parameters for the PID controller that satisfies the mixed H2/H ∞ constraint. To implement the proposed controller, a control system based on microcontroller dsPIC30F4011 was developed. Experimental results are shown to prove the performance of the proposed controller when changing the weight and shape of pendulum. © Springer-Verlag Berlin Heidelberg 2014.