An open-closed-loop PID-type iterative learning control algorithm for uncertain time-delay systems

In this paper an open-closed-loop PID-type learning algorithm is studied for iterative learning control of uncertain time-delay systems. With respect to the existence of asymptotically repetitive initial condition, the sufficient conditions are given, which guarantee the convergence of the learning control. The limit output trajectories generated by the action of the learning control are presented. With regard to the existence of bounded and expectedly repetitive initial condition, the convergence and robustness of the learning algorithm are discussed. Finally, a numerical simulation is given to show the algorithm's efficiency.