Delay-Dependent Conditions for Monotonic Convergence of Uncertain ILC Systems: An LMI Approach

被引:4
作者
Meng, Deyuan [1 ,2 ]
Jia, Yingmin [1 ,2 ]
Du, Junping [3 ]
Yu, Fashan [4 ]
机构
[1] Beihang Univ BUAA, Res Div 7, Beijing 100191, Peoples R China
[2] Beihang Univ BUAA, Dept Syst & Control, Beijing 100191, Peoples R China
[3] Beijing Univ Posts & Telecommun, Sch Comp Sci & Technol, Beijing Key Lab Intelligent Telecommun Software &, Beijing 100876, Peoples R China
[4] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Henan, Peoples R China
来源
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年
关键词
Iterative learning control; time-delay systems; monotonic convergence; linear matrix inequality; ITERATIVE LEARNING CONTROL; CONTROL DESIGN; DYNAMIC-SYSTEMS; STABILITY; FEEDBACK;
D O I
10.1109/CDC.2010.5717993
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the iterative learning control (ILC) problem for uncertain time-delay systems (TDS). In order to ensure monotonic convergence of the ILC process, a sufficient condition is developed using an H-infinity-based framework. It shows that under this framework, the convergence condition is enabled to be delay-dependent and have a formulation in terms of linear matrix inequalities (LMIs). Moreover, formulas for the updating law design can be derived by directly solving LMIs. A numerical example is provided to verify that the delay-dependent condition in LMI forms is effective in producing monotonically convergent ILC algorithms.
引用
收藏
页码:6955 / 6960
页数:6
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