Paper Info
Title
Dynamic Phasor Analysis of Periodic Systems
Abstract
The paper considers stability analysis of linear time-periodic (LTP) systems based on the dynamic phasor model (DPM). The DPM exploits the periodicity of the system by expanding the system state in a Fourier series over a moving time window. This results in an L 2 -equivalent representation in terms of an infinite-dimensional LTI system which describes the evolution of time varying Fourier coefficients. To prove stability, we consider quadratic time-periodic Lyapunov candidates. Using the DPM, the corresponding time-periodic Lyapunov inequality can be stated as a finite dimensional inequality and the Lyapunov function can be found by solving a linear matrix inequality.
Year
DOI
Venue
2009
10.1109/TAC.2009.2023970
Automatic Control, IEEE Transactions
Keywords
Field
DocType
Fourier series,Lyapunov methods,continuous systems,control system analysis,linear matrix inequalities,linear systems,periodic control,stability,time-varying systems,DPM,Fourier series,LTP,dynamic phasor model,finite dimensional inequality,infinite-dimensional LTI system,linear matrix inequality,linear time invariant system,linear time-periodic system,quadratic time-periodic Lyapunov candidate,stability analysis,time window,Dynamic phasor model,harmonic Lyapunov functions,linear time-periodic systems,stability analysis
Lyapunov function,Linear stability,LTI system theory,Linear system,Control theory,Phasor,Quadratic equation,Fourier series,Linear matrix inequality,Mathematics
Journal
Volume
Issue
ISSN
54
8
0018-9286
Citations 
PageRank 
References 
3
0.43
2
Authors
2
Name
Order
Citations
PageRank
Stefan Almer110011.75
Ulf Jönsson226028.30