Title
Analysis of H2 and H∞ performance of discrete periodically time-varying controllers
Abstract
This paper presents analysis of the H 2 and H ∞ performance of discrete linear periodically time-varying controllers for control of linear time-invariant plants. Using a frequency-domain lifting approach, the analysis distinguishes periodically time-varying control from time-invariant control to show that the multiple transfer channels of the system time-varying dynamics amplify the overall system gain. Such a result can provide deeper insights into the system time-varying mechanism and clarify how the time-varying dynamics acts and degrades the system performance. Quantitatively, the paper presents necessary and sufficient conditions under which a linear time-invariant controller can be found to provide strictly better control than periodically time-varying controllers.
Year
DOI
Venue
1997
10.1016/S0005-1098(96)00224-5
Automatica
Keywords
DocType
Volume
Frequency-response methods,control,control,time-invariant systems,lifting in frequency domain,time-varying systems,transfer functions
Journal
33
Issue
ISSN
Citations 
4
0005-1098
5
PageRank 
References 
Authors
1.73
0
3
Name
Order
Citations
PageRank
Cishen Zhang177468.79
Jingxin Zhang226468.81
Katsuhisa Furuta316776.43