Enhanced LMI representations for L2 - L∞ performance of polytopic uncertain systems: Continuous-time case

Author

Wang, Juntao ; Wu, Wei-Jun

Author_Institution

Coll. of Civil Aviation & Safety Eng., Shenyang Inst. of Aeronaut. Eng., Shenyang

fYear

2008

fDate

10-12 Dec. 2008

Firstpage

1

Lastpage

6

Abstract

Based on two recent results, several new criteria of L₂ - L_infin performance for continuous-time linear systems are established by introducing two slack matrices. When used in robust synthesis of systems with polytopic uncertainties, it can reduce conservatism inherent in the earlier quadratic method and the parameter-dependent Lyapunov function approach. Two numerical examples are included to illustrate the feasibility and advantage of the proposed representations.

Keywords

H^infin control; Lyapunov methods; continuous time systems; control system analysis; control system synthesis; functions; linear matrix inequalities; linear systems; robust control; uncertain systems; L₂ - L_infin performance; LMI representation; continuous-time linear system; linear matrix inequality; parameter-dependent Lyapunov function approach; polytopic uncertain system; quadratic method; robust analysis; robust synthesis system; Control system synthesis; Linear systems; Lyapunov method; Microwave technology; Performance analysis; Robust control; Robustness; Transfer functions; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Control in Aerospace and Astronautics, 2008. ISSCAA 2008. 2nd International Symposium on

Conference_Location

Shenzhen

Print_ISBN

978-1-4244-3908-9

Electronic_ISBN

978-1-4244-2386-6

Type

conf

DOI

10.1109/ISSCAA.2008.4776303

Filename

4776303