Robust stability for fractional-order systems with structured and unstructured uncertainties

2011/06/07 by Jiao, Zhuang, Zhong, Yisheng
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.1106.1224

Abstract

The issues of robust stability for two types of uncertain fractional-order systems of order α∈ (0,1) are dealt with in this paper. For the polytope-type uncertainty case, a less conservative sufficient condition of robust stability is given; for the norm-bounded uncertainty case, a sufficient and necessary condition of robust stability is presented. Both of these conditions can be checked by solving sets of linear matrix inequalities. Two numerical examples are presented to confirm the proposed conditions.

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