Optimal Gains of Iterative Learning Control with Forgetting Factor

doi:10.1051/jnwpu/20193751077

IR > 机电工程学院

	Optimal Gains of Iterative Learning Control with Forgetting Factor
	Dai, Baolin; Gong, Jun; Li, Cuiming
	2019-10-01
发表期刊	Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
ISSN	10002758
卷号	37 期号:5 页码:1077-1084
摘要	In order to solve the optimization problems of convergence characteristics of a class of single-input single-output (SISO) discrete linear time-varying systems (LTI) with time-iteration-varying disturbances, an optimal control gain design method of PID type iterative learning control (ILC) algorithm with forgetting factor was presented. The necessary and sufficient condition for the ILC system convergence was obtained based on iterative matrix theory. The convergence of the learning algorithm was proved based on operator theory. According to optimization theory and Toeplitz matrix characteristics, the monotonic convergence condition of the system was established. The accurate solution of the optimal control gain and the relationship equation between the forgetting factor and the optimal control gains were obtained according to the optimal theory which ensures the fastest system convergence speed, thereby reaching the end of the system convergence improvement. The convergence condition is weaker than the known results. The proposed method overcomes the shortcomings of traditional optimal control gain in ILC algorithm with forgetting factor, effectively accelerates the system convergence speed, suppresses the system output track error fluctuation, and provides a better solution for LTI system with time-iteration-varying disturbances. Simulation verifies the effectiveness of the control algorithm. © 2019 Journal of Northwestern Polytechnical University.
关键词	Algorithms Discrete time control systems Iterative methods Linear control systems Linear systems Matrix algebra Optimization Time varying systems Two term control systems Convergence conditions Convergence speed Forgetting factors Iterative learning control Optimal control gain Simulation Time-iteration-varying disturbances
DOI	10.1051/jnwpu/20193751077
收录类别	EI
语种	中文
出版者	Northwestern Polytechnical University
EI入藏号	20194807747221
EI主题词	Learning algorithms
EI分类号	731.1 Control Systems - 921 Mathematics - 961 Systems Science
来源库	Compendex
分类代码	731.1 Control Systems - 921 Mathematics - 961 Systems Science
引用统计	无
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/113871
专题	机电工程学院
作者单位	School of Mechanical & Electronical Engineering, Lanzhou University of Technology, Lanzhou; 730050, China
第一作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
推荐引用方式 GB/T 7714	Dai, Baolin,Gong, Jun,Li, Cuiming. Optimal Gains of Iterative Learning Control with Forgetting Factor[J]. Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University,2019,37(5):1077-1084.
APA	Dai, Baolin,Gong, Jun,&Li, Cuiming.(2019).Optimal Gains of Iterative Learning Control with Forgetting Factor.Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University,37(5),1077-1084.
MLA	Dai, Baolin,et al."Optimal Gains of Iterative Learning Control with Forgetting Factor".Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 37.5(2019):1077-1084.