Iterative Learning Control Design for Uncertain Time-Delay Systems by Generalized KYP Synthesis

Abstract

This paper deals with the problem of designing an iterative learning control scheme for uncertain time-delay systems using differential repetitive process stability theory. The resulting design produces a stabilizing feedback controller in the time domain and a feedforward controller that guarantees monotonic convergence in the trial-to-trial domain for all admissible uncertainties. The design procedures are delay dependent since the obtained results depend on the size of state delay and are also extended to limited frequency range design specification. A new design procedure is developed in terms of linear matrix inequalities, which guarantee prescribed performance specifications. Finally, a simulation example is given to illustrate the application of the new results.