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

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

2011-06-07

arxiv.org/abs/1106.1224v1

Computer Science

Systems and Control

21 pages, 1 figure

Scientific paper

The issues of robust stability for two types of uncertain fractional-order systems of order $\alpha \in (0,1)$ 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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