Abstract:

Under the condition that a certain error can exist in the initial value of system state in iterative processing, an iterative learning control problem for a class of uncertain linear distributed parameter systems with control delay is discussed. A P-type iterative learning algorithm based on the known time delay is presented, and the sufficient condition of L² norm convergence is given. The convergence of the iterative algorithm is proved by using Green formula and Gronwall-Bellman inequality. A numerical example is addressed to illustrate the effectiveness of the proposed method.