Analysis and Design of Repetitive Control Systems Using the Regeneration Spectrum

[+] Author and Article Information
K. Srinivasan, F.-R. Shaw

Department of Mechanical Engineering, The Ohio State University, Columbus, Ohio 43210

J. Dyn. Sys., Meas., Control 113(2), 216-222 (Jun 01, 1991) (7 pages) doi:10.1115/1.2896368 History: Received October 11, 1989; Revised May 01, 1990; Online March 17, 2008


The absolute and relative stability of continuous-time SISO repetitive control systems is examined here using a function of frequency termed the regeneration spectrum. The regeneration spectrum is easily computed and is related to important features of the characteristic root distribution of such systems, for large values of the time delay. The regeneration spectrum is combined with other frequency domain measures of control system performance such as the sensitivity and complementary sensitivity functions to obtain improved insight into the tradeoffs in repetitive control system design. The result is a more rational approach to repetitive control system design and is illustrated by an example.

Copyright © 1991 by The American Society of Mechanical Engineers
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