3 1/2 DOF Polynomial Solution of the Inferential H2/H∞ Control Problem With Application to Metal Rolling

[+] Author and Article Information
M. J. Grimble

Industrial Control Centre, University of Strathclyde, Graham Hills Building, 50 George Street, Glasgow G1 1QE, Scotland

J. Dyn. Sys., Meas., Control 120(4), 445-455 (Dec 01, 1998) (11 pages) doi:10.1115/1.2801485 History: Received June 12, 1996; Online December 03, 2007


The solution of a new inferential 3 1/2-degree-of-freedom stochastic optimal control problem is discussed which may be either H2 or H∞ optimal. The system includes a 2 1/2-degree-of-freedom inferential tracking controller and a feedforward control action. The feedback controller must be robust and is therefore normally designed to minimize an H∞ , criterion. However, the solution obtained is sufficiently general that the feedback, tracking or feedforward control functions can be chosen to minimize either an H2 or a H∞ criterion. The inferential control problem considered was motivated by a problem in the control of metal strip rolling mills. The design study presented considers the control of strip thickness given stand force measurements, and the use of feedforward signal from an upstream stand.

Copyright © 1998 by The American Society of Mechanical Engineers
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