Title
Stability Analysis of a Class of PWM Systems
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).
Year
DOI
Venue
2007
10.1109/TAC.2007.899082
Automatic Control, IEEE Transactions
Keywords
Field
DocType
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,Lyapunov methods,dc-dc converter,pulsewidth modulated (PWM) systems,sampled data modeling,stability analysis
Lyapunov function,Control theory,Matrix (mathematics),Stability conditions,Quadratic equation,Exponential stability,Quadratic function,State space,Mathematics,Piecewise
Journal
Volume
Issue
ISSN
52
6
0018-9286
Citations 
PageRank 
References 
8
1.24
5
Authors
4
Name
Order
Citations
PageRank
Almer, S.1202.74
Ulf Jönsson226028.30
Chung-Yao Kao338232.82
Jorge Mari4474.69