The Optimal Locus Approach With Machining Applications

[+] Author and Article Information
Yoram Koren

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109

J. Dyn. Sys., Meas., Control 111(2), 260-267 (Jun 01, 1989) (8 pages) doi:10.1115/1.3153045 History: Received June 01, 1987; Revised May 15, 1988; Online July 21, 2009


An optimal locus concept is introduced as the basis for an optimization methodology for real-time control subject to time-varying constraints. The optimal locus in the control plane contains all possible optimum points, and the actual point is found at the intersection of the optimal locus with the most limiting constraint. The mathematical basis of the approach is a given set of equations which is less than the number of unknowns, and the addition of real-time measurements to compensate for the missing information. The control system generates the optimal parameters in real time, and uses them as references to the control loops. The optimization methodology and control architecture are structures in a generalized way for application to processes having multiple variables and subject to several constraints. The proposed controller architecture can effectively control many machining processes. The optimal locus approach was applied to a grinding system and the experimental results verify the proposed theory.

Copyright © 1989 by ASME
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