H∞ LOOP-SHAPING CONTROLLER FOR A BOOST CONVERTER WITH HARMONIC REDUCTION
Abstract
This paper presents a simple and systematic approach to the design of an H∞ loop-shaping controller for a boost converter operating in continuous conduction mode. Using an averaged linear model of the converter, a robust controller is developed, guaranteeing stability, and the desired closed-loop dynamic response. A controller exists if and only if the unique stabilizing solutions to two algebric Riccati equations are positive definite and the spectral radius of their product is less than . Under these conditions, a compact control structure is obtained and the controller is parameterized. The main contribution of the tuning rules is that the controller parameters can be obtained using one design parameter which reflects the trade-off between stability robustness and time domain performance. Various aspects of the design, including the associated practical problems and the proposed solutions, are detailed. Simulation results are presented to illustrate the design procedure.