Alternative LMI Characterizations for Fractional-order Linear Systems
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.
Fractional-order System Bounded Real Lemma Linear Matrix Inequality Polytopic Uncertainty
DING Dongsheng QI Donglian WANG Qiao
College of Electrical Engineering,Zhejiang University,Hangzhou 310027,P.R.China
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
4246-4251
2014-07-28(万方平台首次上网日期,不代表论文的发表时间)