Iterative learning tracking control for second‐order nonlinear hyperbolic impulsive partial differential systems

This paper studies the iterative learning control (ILC) for a class of second-order nonlinear hyperbolic impulsive partial differential systems. Firstly, to follow discontinuous desired output, P-type law is adopted, and sufficient conditions convergence tracking error established under identified initial state value. The rigorous analysis also given using Gronwall inequality. Secondly, output trajectory considered in systems with values shifting based on an algorithm. These results this show that finite time interval can uniform converge 0 as iteration index goes infinity if impulse number only numbers. Finally, two numerical simulation examples are verify effectiveness theoretical results.