Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller

被引：25

作者：

Sajewski, L. ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, 45D Wiejska St, PL-15351 Bialystok, Poland

来源：

BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES | 2017年 / 65卷 / 05期

关键词：

positive; fractional; different order; noncomensurate; descriptor; stabilization; decentralized controller; STABILITY;

D O I：

10.1515/bpasts-2017-0076

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Positive descriptor fractional discrete-time linear systems with fractional different orders are addressed in the paper. The decomposition of the regular pencil is used to extend necessary and sufficient conditions for positivity of the descriptor fractional discrete-time linear system with different fractional orders. A method for finding the decentralized controller for the class of positive systems is proposed and its effectiveness is demonstrated on a numerical example.

引用

页码：709 / 714

页数：6

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