Olivier, Laurentz EugeneCraig, Ian Keith2015-09-022015-09-022015-08Olivier, LE & Craig, IK 2015, 'Development and application of a model-plant mismatch expression for linear time-invariant systems', Journal of Process Control, vol. 32, pp. 77-86.0959-1524 (print)1873-2771 (online)10.1016/j.jprocont.2015.04.016http://hdl.handle.net/2263/49687When a plant and its controller are sufficiently linear and time-invariant so that they can be representedby transfer functions, and this plant is under classical control (meaning the controller can also be repre-sented by a transfer function), the model-plant mismatch (MPM) that often plagues industrial processescan be written as a closed-form expression. This includes a variety of controllers, among which the ubiq-uitous Proportional, Integral and Derivative (PID) controller. The MPM expression can then be used toidentify a representative transfer function of the “true plant” from the currently available plant model.The MPM expression works for single-input single-output as well as multiple-input multiple-output sys-tems. The closed-loop data required for application of the expression has to be sufficiently exciting. Ifsignificant disturbances perturb the plant their values need to be available. In this article the expressionis applied to industrial data to show its applicability.en© 2015 Elsevier Ltd. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Process Control. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Process Control, vol. 32, pp. 77-86, 2015. doi :10.1016/j.jprocont.2015.04.016.MismatchModel-based controlPID controlTransfer functionProportional, integral and derivative (PID)Model-plant mismatch (MPM)Postprint Article