IQC robustness analysis for feedback interconnections of unstable distributed parameter systems

Author

Cantoni, Michael ; Jönsson, Ulf T. ; Kao, Chung-Yao

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

1124

Lastpage

1130

Abstract

In recent work the authors combined integral-quadratic-constraint (IQC) based analysis with Â¿-gap metric based analysis to study the robustness of feedback interconnections of possibly unstable rational transfer functions. This is extended here to the case of irrational transfer functions without pure delays. Specifically, we restrict attention to the sub-algebra of Callier-Desoer class transfer functions that have a limit at infinity.

Keywords

delays; distributed parameter systems; feedback; robust control; transfer functions; Callier-Desoer class transfer functions; IQC robustness analysis; feedback interconnections; integral-quadratic-constraint based analysis; pure delays; rational transfer functions; unstable distributed parameter systems; v-gap metric based analysis; Algebra; Delay; Distributed parameter systems; Feedback; H infinity control; Hilbert space; Hydrogen; Robustness; Stability; Transfer functions; ν-gap metric; Feedback; distributed parameter systems; integral quadratic constraints; robustness;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399643

Filename

5399643