2-D system theory based iterative learning control for linear continuous systems with time delays

2005 ◽  
Vol 52 (7) ◽  
pp. 1421-1430 ◽  
Author(s):  
Xiao-Dong Li ◽  
T.W.S. Chow ◽  
J.K.L. Ho
Keyword(s):  
System Theory ◽  
Iterative Learning Control ◽  
Time Delays ◽  
Learning Control ◽  
Iterative Learning ◽  
Continuous Systems

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 Formation Tracking via Iterative Learning Control for Multiagent Systems with Diverse Communication Time-Delays

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Jialu Zhang ◽  
Yong Fang ◽  
Chenlong Li ◽  
Wenbo Zhu
Keyword(s):  
Multiagent Systems ◽  
Iterative Learning Control ◽  
Time Delays ◽  
Learning Control ◽  
Frequency Domain Analysis ◽  
Iterative Learning ◽  
Convergence Conditions ◽  
Formation Tracking ◽  
Communication Time ◽  
Nyquist Stability

In this paper, we consider the formation tracking problem for multiagent systems with diverse communication time-delays by using iterative learning control (ILC) method based on the frequency domain analysis. A first-order ILC law for multiagent systems with diverse communication time-delays is first proposed and its convergence conditions are given by the general Nyquist stability criterion and Gershgorin’s disk theorem. Then, in order for the system to track accurately, a second-order ILC law is presented. The conditions for system tracking with zero error are established. Numerical simulations show that the proposed ILC laws for multiagent systems with diverse communication time-delays are able to achieve effectively formation tracking. And the convergence speed remains the same as the learning control algorithm without communication delay.

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