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Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received April 19, 2017
Accepted August 9, 2017

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Constraint handling optimal PI control of open-loop unstable process: Analytical approach

Rodrigue Tchamna Moonyong Lee^†

School of Chemical Engineering, Yeungnam University, Gyeongsan 38541, Korea

Korean Journal of Chemical Engineering, December 2017, 34(12), 3067-3076(10), 10.1007/s11814-017-0219-6

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Abstract

This paper proposes the closed-form analytical design of proportional-integral (PI) controller parameters for the optimal control of an open-loop unstable first order process subject to operational constraints. The main idea of the design process is not only to minimize the control performance index, but also to cope with the constraints in the process variable, controller output, and its rate of change. To derive an analytical design formula, the constrained optimal control problem in the time domain was transformed to an unconstrained optimization in a parameter space associated with closed-loop dynamics. By taking advantage of the proposed analytical approach, a convenient shortcut algorithm was also provided for finding the optimal PI parameters quickly, based on the graphical analysis for the optimal solution of the corresponding optimization problem in the parameter space. The resulting optimal PI controller guarantees the globally optimal closed-loop response and handles the operational constraints precisely.

Keywords

Optimal Control Operational Constraints Open-loop Unstable Process Industrial Proportional-Integral (PI) Controller Analytical Design Approach

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