Theories of Non-linear Systems for Power Converters
In a power converter, there is a great number of non-linear systems. Better knowledge of the theories of non-linear systems will contribute to optimise the design of such converters. This book consists of two parts composed of several sections.
In the first part, the author reviews a great number of theoretical tools useful for the study of non-linear systems. After providing some definitions and generalities in the first section, he examines the methods for determining the stability limits of a non-linear system. He devotes section three to hybrid and chaotic systems and in section four, he provides examples to illustrate the concepts presented in the three first sections. The remaining sections of the first part are devoted to linear controls, optimal control, the control of chaotic systems and robust controls respectively. In the second part the concepts previously described are applied to the field of power converters. The author starts by giving dynamic models of switching power converters then, he proposes a step-by-step procedure to design a power converter controller. In the following two sections, he analyses common issues of control and gives examples of stability study in the field of power converters. In the last sections, the different methods of control described in the first chapter are used to
realize different controls of power converters. In this book, many examples are given to illustrate each theoretical concepts. The
examples chosen are as simple as possible so as to facilitate the assimilation of the different concepts by the reader. The large number of theoretical tools presented in this book can be used to solve basic problems such as how to determine the stability areas of a thermal system or how to dimension corrector circuits. However, the author hopes that this book will be also a source of inspiration for young (and less young) engineers to help them to explore new ways of optimisation in the field of power converters.
