Paper Info
Title
Robustness Analysis for Feedback Interconnections of Distributed Systems via Integral Quadratic Constraints.
Abstract
A framework is established for directly accommodating feedback interconnections of unstable distributed-parameter transfer functions in robust stability analysis via integral quadratic constraints (IQCs). This involves transfer function homotopies that are continuous in a ν -gap metric sense. As such, the development includes the extension of ν-gap metric concepts to an irrational setting and the study of uncertainty-set connectedness in these terms. The main IQC based robust stability result is established for constantly-proper transfer functions in the Callier-Desoer algebra; i.e. finitely many unstable poles and a constant limit at infinity. Problems of structured robust stability analysis and robust performance analysis are considered to illustrate use of the main result. Several numerical examples are also presented. These include stability analysis of an autonomous system with uncertain time-delay and a closed-loop control system, accounting for both the gain and phase characteristics of the distributed-parameter uncertainty associated with the nominal rational plant model used for controller synthesis.
Year
DOI
Venue
2012
10.1109/TAC.2011.2163335
Automatic Control, IEEE Transactions
Keywords
Field
DocType
Transfer functions,Measurement,Robust stability,Robustness,Algebra,Fourier transforms,Windings
Mathematical optimization,Social connectedness,Control theory,Control theory,Quadratic equation,Robustness (computer science),Transfer function,Autonomous system (mathematics),Control system,Robust control,Mathematics
Journal
Volume
Issue
ISSN
57
2
0018-9286
Citations 
PageRank 
References 
11
0.77
9
Authors
3
Name
Order
Citations
PageRank
Michael Cantoni123938.80
Ulf T. JöNsson29211.09
Chung-Yao Kao338232.82