Indirect model reference adaptive control for a class of fractional order systems

被引：53
|
作者：
Chen, Yuquan [1 ]
Wei, Yiheng [1 ]
Liang, Shu [2 ]
Wang, Yong [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Peoples R China
[2] Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 39卷
基金：
中国国家自然科学基金;
关键词：
Fractional order systems; Indirect model reference adaptive control; Constrained gradient estimation method; Indirect Lyapunov method; Frequency distributed model; PARAMETER; STABILITY;
D O I：
10.1016/j.cnsns.2016.03.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article focuses on the indirect model reference adaptive control problem for fractional order systems. A constrained gradient estimation method was established firstly, since parameter estimation is part and parcel of the whole control problem. Then a novel adaptive control law is designed, from which the two problems, i.e., parameter estimation and reference tracking, can be unified perfectly. On these basis, an effective control scheme is established. The stability of the resulting closed-loop system is analyzed rigorously via indirect Lyapunov method and frequency distributed model. Finally, a careful simulation study is reported to illustrate the effectiveness of the proposed scheme. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：458 / 471
页数：14
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