Multiple Lyapunov Function Based Reaching Condition Analyses of Switching Power Converters

Author

Mazumder, S.K. ; Acharya, K.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Chicago, IL

fYear

2006

fDate

18-22 June 2006

Firstpage

1

Lastpage

8

Abstract

We present a technique to analyze the period-1 reaching conditions of power electronics systems (PESs) using multiple Lyapunov functions. A piecewise linear model of the PES is used, which can accurately analyze a wide range of PES dynamics because of its close resemblance to the actual system. By formulating a convex optimization problem based on a composite Lyapunov function and solving this problem using well-known numerical algorithms, we predict the reaching conditions of the PES. The analyses techniques presented in this paper can be used to predict whether the converter dynamics approach a switching surface or not during transient/start-up conditions

Keywords

Lyapunov methods; convex programming; numerical analysis; piecewise linear techniques; switching convertors; composite Lyapunov function; convex optimization problem; multiple Lyapunov function; period-1 reaching conditions analyses; piecewise linear model; power electronics systems; switching power converters; Adaptive control; Control systems; Convergence; Delay effects; Dynamic range; Lyapunov method; Piecewise linear techniques; Power electronics; Switches; Switching converters; Lyapunov´s stability; Switching power converters; convex-optimization problem; linear matrix inequality; piecewise linear systems; reaching conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Electronics Specialists Conference, 2006. PESC '06. 37th IEEE

Conference_Location

Jeju

ISSN

0275-9306

Print_ISBN

0-7803-9716-9

Type

conf

DOI

10.1109/PESC.2006.1712105

Filename

1712105