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TECHNICAL BRIEFS

An H∞ Synthesis of Robust Current Error Feedback Learning Control

[+] Author and Article Information
C. J. Goh, W. Y. Yan

Department of Mathematics, University of Western Australia, Nedlands, Western Australia 6009

J. Dyn. Sys., Meas., Control 118(2), 341-346 (Jun 01, 1996) (6 pages) doi:10.1115/1.2802326 History: Received June 15, 1994; Online December 03, 2007

Abstract

Conventionally, iterative learning control law is updated using past error information. As a result, the controller is effectively open-loop, apart from being unable to control unstable systems, it also does not share the robustness properties of feedback systems. It is proposed that current error feedback should be used to update the learning control law instead. We present a systematic design procedure based on the H∞ control theory to construct a robust current error feedback learning control law for linear-time-invariant, and possibly unstable, systems. The optimal design will ensure: 1 That the closed-loop system is stable; 2 that the convergence rate is optimum about the nominal plant; 3 robustness in the presence of perturbed or unmodeled dynamics, or nonlinearity.

Copyright © 1996 by The American Society of Mechanical Engineers
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