Iterative Learning Control for Uncertain Time-Delay Reaction Diffusion System

2019 ◽  
pp. 399-406 ◽  
Author(s):  
Yinjun Zhang ◽  
Mengji Chen
Keyword(s):  
Time Delay ◽  
Iterative Learning Control ◽  
Reaction Diffusion ◽  
Learning Control ◽  
Iterative Learning ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Uncertain Time

scholarly journals Trajectory Tracking Control for Reaction–Diffusion System with Time Delay Using P-Type Iterative Learning Method

Actuators ◽  
2021 ◽  
Vol 10 (8) ◽  
pp. 186
Author(s):  
Yaqiang Liu ◽  
Jianzhong Li ◽  
Zengwang Jin
Keyword(s):  
Time Delay ◽  
Tracking Control ◽  
Reaction Diffusion ◽  
Delay System ◽  
Distribution Functions ◽  
Iterative Learning ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Trajectory Tracking Control ◽  
System With Time Delay

This paper has dealt with a tracking control problem for a class of unstable reaction–diffusion system with time delay. Iterative learning algorithms are introduced to make the infinite-dimensional repetitive motion system track the desired trajectory. A new Lyapunov–Krasovskii functional is constructed to deal with the time-delay system. Picewise distribution functions are applied in this paper to perform piecewise control operations. By using Poincaré–Wirtinger inequality, Cauchy–Schwartz inequality for integrals and Young’s inequality, the convergence of the system with time delay using iterative learning schemes is proved. Numerical simulation results have verified the effectiveness of the proposed method.

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