Control of a Parametrically Excited Crane: A Vector Lyapunov Approach

Abstract

In this brief, a controller is proposed in order to avoid the parametric resonance effect and to attenuate the load oscillations in a parametrically excited crane, ensuring precise load transfer during the load movement despite model uncertainties and un-modeled dynamic actuators. The nonlinear controller proposed in this brief is motivated by the Twisting algorithm and the design uses the vector Lyapunov function approach ensuring the ultimate bounded stability of the overall closed-loop system. The experiments conducted over a laboratory platform resemble quite well the simulations, confirming the obtained results.