Pd control of a press platform and a proof of stability using the hunt-crossley model

Abstract

This paper presents a PD force controller for a press platform to inspect the surface of a wind power blade. The Hunt-Crossly model is employed for the platform, where the force is composed of a nonlinear spring and a damper. Considering the shape of the probe, this model is more accurate than the linear spring-damper models because it captures some of the nonlinearities of the platform. However, the nonlinearities make it harder to assess the stability of the closed-loop. This problem is solved by designing a Lyapunov function and an invariant set, which leads to a stability proof. Simulations and experiments are performed, and the results are consistent with this mathematical analysis. The effectiveness of the control scheme is also observed in the simulations and experiments. © ICROS 2019.