Alternative LMI characterizations for fractional-order linear systems

Author

Ding Dongsheng ; Qi Donglian ; Wang Qiao

Author_Institution

Coll. of Electr. Eng., Zhejiang Univ., Hangzhou, China

fYear

2014

fDate

28-30 July 2014

Firstpage

4246

Lastpage

4251

Abstract

This paper focuses on the linear matrix inequality (LMI) characterizations of fractional-order linear systems. Based on the generalized Kalman-Yakubovic-Popov (KYP) lemma, two bounded real lemmas of fractional-order linear systems are introduced with respect to two different norms respectively. Then an new bounded real lemma is proposed with more degrees of freedom. In terms of a set of LMIs then, it is generalized for a class of fractional-order uncertain linear systems with the convex polytopic uncertainties, which forms less conservative constraints on ℋ_∞ performance. Finally this result is demonstrated in a numerical example.

Keywords

H^∞ control; linear matrix inequalities; linear systems; robust control; uncertain systems; H_∞ performance; KYP lemma; alternative LMI characterization; bounded real lemma; conservative constraints; convex polytopic uncertainty; fractional-order uncertain linear systems; generalized Kalman-Yakubovic-Popov lemma; linear matrix inequality; Linear matrix inequalities; Linear systems; Robust stability; State feedback; Transfer functions; Uncertain systems; Uncertainty; Bounded Real Lemma; Fractional-order System; Linear Matrix Inequality; Polytopic Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895650

Filename

6895650