Title :
Stability Analysis of a Class of PWM Systems
Author :
Almér, Stefan ; Jönsson, Ulf ; Kao, Chung-Yao ; Mari, Jorge
Author_Institution :
R. Inst. of Technol., Stockholm
fDate :
6/1/2007 12:00:00 AM
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).
Keywords :
DC-DC power convertors; Lyapunov methods; PWM power convertors; asymptotic stability; linear matrix inequalities; switching convertors; LMI; PWM systems; exponential stability; linear matrix inequalities; piecewise quadratic Lyapunov functions; pulsewidth modulated systems; quadratic quadratic Lyapunov functions; sampled data model; stability analysis; switched mode dc-dc converters; DC-DC power converters; Data models; Linear matrix inequalities; Lyapunov method; Pulse width modulation; Pulse width modulation converters; Stability analysis; State-space methods; Switches; Switching converters; Lyapunov methods; dc-dc converter; pulsewidth modulated (PWM) systems; sampled data modeling; stability analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.899082
