Robust stabilization for rectangular descriptor fractional order interval systems with order 0 < α < 1

Xuefeng Zhang and Zeli Zhao

Applied Mathematics and Computation, 2020, vol. 366, issue C

Abstract: This paper considers the normalization and stabilization of rectangular descriptor fractional order interval systems with fractional order 0 < α < 1. Firstly, a rectangular descriptor fractional order interval system is transformed into an augmented square descriptor fractional order interval system by adopting the proportional and derivative type dynamic compensator. Secondly, by using the generalized rank of matrix, we can make the augmented square descriptor fractional order interval system normalized. Thirdly, a less conservative sufficient condition is expressed in terms of a set of bilinear matrix inequalities which can be efficiently solved by an iterative LMI algorithm. Finally, a numerical example is given to verify the effectiveness of the results in this paper.

Keywords: Rectangular descriptor systems; Fractional order systems; Interval systems; Normalization and stabilization; Dynamic compensator; Iterative LMI algorithm (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:366:y:2020:i:c:s0096300319307581

DOI: 10.1016/j.amc.2019.124766

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