System analysis via integral quadratic constraints

Author

Megretski, Alexandre ; Rantzer, Anders

Author_Institution

Dept. of Electr. Eng., MIT, Cambridge, MA, USA

Volume

42

Issue

6

fYear

1997

fDate

6/1/1997 12:00:00 AM

Firstpage

819

Lastpage

830

Abstract

This paper introduces a unified approach to robustness analysis with respect to nonlinearities, time variations, and uncertain parameters. From an original idea by Yakubovich (1967), the approach has been developed under a combination of influences from the Western and Russian traditions of control theory. It is shown how a complex system can be described, using integral quadratic constraints (IQC) for its elementary components. A stability theorem for systems described by IQCs is presented that covers classical passivity/dissipativity arguments but simplifies the use of multipliers and the treatment of causality. A systematic computational approach is described, and relations to other methods of stability analysis are discussed. Last, but not least, the paper contains a summarizing list of IQCs for important types of system components

Keywords

control nonlinearities; control system analysis; large-scale systems; robust control; time-varying systems; uncertain systems; causality; complex system; dissipativity; integral quadratic constraints; multipliers; nonlinearities; passivity; robustness analysis; stability theorem; system analysis; time variations; uncertain parameters; Computational modeling; Control system synthesis; Control theory; Design engineering; Feedback; Parameter estimation; Power system modeling; Robust stability; Robustness; Stability analysis;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.587335

Filename

587335