Static and dynamic output feedback stabilisation of descriptor fractional order systems

被引：19
|
作者：
Zhang, Xuefeng [1 ]
Zhao, Zeli [1 ]
Wang, Qingguo [2 ]
机构：
[1] Northeastern Univ, Sch Sci, Shenyang 110819, Liaoning, Peoples R China
[2] Univ Johannesburg, Inst Intelligent Syst, Fac Engn & Built Environm, Johannesburg, South Africa
来源：
IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
singular value decomposition; control system synthesis; feedback; stability; output feedback control; descriptor fractional order systems; descriptor FOS; dynamic output feedback stabilisers; dynamic output feedback stabilisation; static output feedback stabilisers; UNCERTAIN SYSTEMS; ROBUST-CONTROL; ADMISSIBILITY; SUFFICIENT;
D O I：
10.1049/iet-cta.2019.0694
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this study, output feedback control is utilised to stabilise descriptor fractional order systems (FOS) with the fractional order alpha belonging to [1, 2) and (0, 1), respectively. Firstly, by the restricted equivalent transformations, a new necessary and sufficient condition of admissibility for descriptor FOS with 1 <= alpha < 2 is presented. Then, based on the methods of singular value decomposition, static and dynamic output feedback stabilisers of descriptor FOS with 1 <= alpha < 2 and 0 < alpha < 1 are obtained, respectively. Finally, four numerical examples are provided to verify the effectiveness of the proposed approaches.
引用
收藏
页码：324 / 333
页数：10
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