KYP lemma for internally positive systems and a tractable class of distributed H-infinity control problems

Author

Tanaka, T. ; Langbort, C.

Author_Institution

Dept. of Aerosp. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

6238

Lastpage

6243

Abstract

We consider the KYP lemma for internally positive LTI systems and show that the H_∞ norm of such systems can be evaluated by checking the existence of a certain diagonal quadratic storage function. Once the existence of such a diagonal quadratic storage function is ensured, the problem of finding the optimal H_∞ controller among the class of structured static state feedback controllers attaining internal positivity of the closed loop system becomes convex and tractable.

Keywords

H^∞ control; closed loop systems; distributed control; distributed parameter systems; linear systems; state feedback; time-varying systems; H_∞ norm; KYP lemma; closed loop system; diagonal quadratic storage function; distributed H-infinity control problems; internally positive systems; linear time invariant system; optimal H_∞ controller; static state feedback controllers; Closed loop systems; Control design; Control systems; Distributed control; H infinity control; Optimal control; Stability; State feedback; Transfer functions; Water storage;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5531530

Filename

5531530