Linear Robust Output Regulation in a Class of Switched Power Converters

Josep M Olm,Domingo Biel

doi:10.1155/2010/724531

Abstract

This article addresses the robust output regulation problem for a class of nonlinear switched power converters after its linearization by means of a change of the control vector variable. The methodology employs a dynamic state feedback control law and considers parametric uncertainty due to unknown values of resistive loads. Restrictions arising from the fact that the control gains exhibit fixed values are taken into account. The proposed technique is exemplified with the output voltage regulation of a Noninverting Buck-Boost converter and tested through realistic numerical simulations.

Highlights

The output regulation—or servomechanism—problem deals with the design of feedback control laws that provide output tracking of any reference belonging to a family of command profiles and, at the same time, are able to reject any perturbation from a certain set, with both references and disturbances being generated by a known, autonomous system of ordinary differential equations, the so-called exosystem
In this article we address the robust output regulation problem for a family of nonlinear power converters with two control switches that includes the NonInverting BuckBoost NIBB, the Watkins-Johnson WJ, the Inverse of Watkins-Johnson IWJ and the Full-Bridge NonInverting Buck-Boost FBNIBB
This section is focused on the major highlights of Linear Robust Output Regulation LROR and follows the exposition in 6

Summary

Introduction

The output regulation—or servomechanism—problem deals with the design of feedback control laws that provide output tracking of any reference belonging to a family of command profiles and, at the same time, are able to reject any perturbation from a certain set, with both references and disturbances being generated by a known, autonomous system of ordinary differential equations, the so-called exosystem. The control design is robust when the objective is achieved despite the presence of parametric uncertainties This capital subject, with long trajectory in control theory, was solved for linear systems in the early 1970’s with the introduction of the well-known internal model principle 1 ; there is an interesting algebraic approach contained in 2. In this article we address the robust output regulation problem for a family of nonlinear power converters with two control switches that includes the NonInverting BuckBoost NIBB , the Watkins-Johnson WJ , the Inverse of Watkins-Johnson IWJ and the Full-Bridge NonInverting Buck-Boost FBNIBB.

Linear Robust Output Regulation

Output Regulation in a Class of Nonlinear Switched Power Converters

Construction of a Dynamic State Feedback Regulator

Example

Simulation Results

Conclusions