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

Bulletin of the Polish Academy of Sciences. Technical Sciences

?. SajewskiCorresponding authorFaculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

[1] Faculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, Poland

关键词: Keywords: positive;    fractional;    different order;    noncomensurate;    descriptor;    stabilization;    decentralized controller;   

DOI  :  10.1515/bpasts-2017-0076

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 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.

【 授权许可】

Unknown