Finite frequency range robust iterative learning control of linear discrete system with multiple time-delays

2019 ◽  
Vol 356 (5) ◽  
pp. 2690-2708 ◽  
Author(s):  
Hongfeng Tao ◽  
Wojciech Paszke ◽  
Huizhong Yang ◽  
Krzysztof Gałkowski
Keyword(s):  
Iterative Learning Control ◽  
Time Delays ◽  
Discrete System ◽  
Learning Control ◽  
Iterative Learning ◽  
Multiple Time ◽  
Frequency Range ◽  
Finite Frequency ◽  
Multiple Time Delays ◽  
Linear Discrete System

PD-Type ILC Algorithm Research with Forgetting Factor for a Class of Linear Systems with Multiple Time Delays

2012 ◽  
Vol 220-223 ◽  
pp. 1125-1130 ◽  
Author(s):  
Hong Yang ◽  
Sheng Ming Li
Keyword(s):  
Linear Systems ◽  
Iterative Learning Control ◽  
Time Delays ◽  
Learning Control ◽  
Iterative Learning ◽  
Multiple Time ◽  
Forgetting Factor ◽  
Convergence Conditions ◽  
Multiple Time Delays ◽  
Study Results

Based on iterative learning control (ILC) algorithm with forgetting factor, the thought that the forgetting factor is a function of iteration numbers is proposed in this paper, which has simplified the convergence conditions. And the convergence analysis is given. Then, the study results of this paper are applied to a class of linear systems with multiple time delays and simulation results show that, under the improvements of the convergence conditions and the reasonable choice of forgetting factor function, the PD-type iterative learning control algorithm with forgetting factor applied to the linear systems with multiple time delays in this paper has effectiveness and superiority.

scholarly journals Analysis of a Class of Fractional Nonlinear Multidelay Differential Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-15
Author(s):  
Zhuoyan Gao ◽  
JinRong Wang ◽  
Yong Zhou
Keyword(s):  
Iterative Learning Control ◽  
Time Delays ◽  
Iterative Learning ◽  
Multiple Time ◽  
Weighted Norm ◽  
Differential Systems ◽  
Numerical Examples ◽  
Multiple Time Delays ◽  
Two Parameters ◽  
Theoretical Results

We address existence and Ulam-Hyers and Ulam-Hyers-Mittag-Leffler stability of fractional nonlinear multiple time-delays systems with respect to two parameters’ weighted norm, which provides a foundation to study iterative learning control problem for this system. Secondly, we design PID-type learning laws to generate sequences of output trajectories to tracking the desired trajectory. Two numerical examples are used to illustrate the theoretical results.

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