1. Stability Analysis of a Class of PWM Systems.
- Author
-
Almer, Stefan, Jönsson, Ulf, Chung-Yao Kao, and Mari, Jorge
- Subjects
DC-to-DC converters ,ELECTRIC current converters ,LYAPUNOV functions ,DIFFERENTIAL equations ,MATHEMATICAL analysis ,PULSED power systems ,MATHEMATICAL inequalities ,MATRICES (Mathematics) ,ELECTRICAL engineering - Abstract
This note considers stability analysis of a class of pulsewidth modulated (PWM) systems that incorporates several different switched mode dc-dc converters. The systems of the class typically have periodic solutions. A sampled data model is developed and used to prove stability of these solutions. Conditions for global and local exponential stability are derived using quadratic and piecewise quadratic Lyapunov functions. The state space is partitioned and the stability conditions are verified by checking a set of coupled linear matrix inequalities (LMIs). [ABSTRACT FROM AUTHOR]
- Published
- 2007
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