Fractional Order Systems Time-Optimal Control and Its Application

被引：32
|
作者：
Wei, Yiheng [1 ]
Du, Bin [1 ]
Cheng, Songsong [1 ]
Wang, Yong [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230027, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2017年 / 174卷 / 01期
关键词：
Fractional order systems; Time-optimal control; Chattering phenomenon; Tracking differentiator; CONTROLLABILITY;
D O I：
10.1007/s10957-015-0851-4
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper deals with the time-optimal control problem for a class of fractional order systems. An analytic solution of the time-optimal problem is proposed, and the optimal transfer route is provided. Considering it is usually adopted in the discrete situation for actual control system, the sampling date may induce chattering phenomenon, an alternative sub-optimal solution is constructed. Additionally, the special and meaningful application of fractional order tracking differentiator is introduced to explain our main results. The effectiveness and advantages of the proposed method have been illustrated by numerical examples.
引用
收藏
页码：122 / 138
页数：17
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