Analysis of a High-Order Iterative Learning Control Algorithm for Uncertain Nonlinear Systems with State Delays

Abstract

For a better learning transient along the iteration number direction, a PID-type iterative learning control algorithm is proposed for a class of delayed uncertain nonlinear systems which perform a given task repeatedly. The convergence conditions for the proposed high-order learning control have been established. The tracking error bound is proven to be a class-K function of the bounds of reinitialization errors, uncertainties and disturbances to the systems. It is also indicated that the time delays in the system states do not play a significant role in the ILC convergence property. The effectiveness of the high-order ILC algorithm is demonstrated by simulation examples. § 1998 Elsevier Science Ltd. All rights reserved.