Robust Control for the Relay ICPT System Under External Disturbance and Parametric Uncertainty

Abstract

The relay inductively coupled power transfer (ICPT) system is a typical nonlinear and high-order system that is composed of the inverter, the resonant tanks, the relay structure, the rectifier, and the filter. Additionally, the disturbance signals (such as external disturbance) and dynamic perturbations (such as parametric uncertainties) are unavoidable in this system. Therefore, a closed-loop system with an $H_{\infty }$ controller is designed under the external disturbance and parametric uncertainties in this paper. In order to achieve the robust stability and the robust performance (RSRP) of the closed-loop system with an $H_{\infty }$ controller, the generalized state-space averaging method is used to establish the linear model of the relay ICPT system first, and a linear fractional transformation of the nominal model and the parametric uncertainties is discussed then. The RSRP of the designed $H_{\infty }$ controller is tested by the structured singular value. The results of the practical experiment further verify the RSRP of the closed-loop system.