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Language: English

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

Publication history: Received September 15, 2018
Accepted December 18, 2018

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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Analytical design of constraint handling optimal two parameter internal model control for dead-time processes

Rodrigue Tchamna^{1 2} Muhammad Abdul Qyyum¹ Muhammad Zahoor¹ Camille Kamga³ Ezra Kwok⁴ Moonyong Lee^1†

¹School of Chemical Engineering, Yeungnam University, Gyeongsan 38541, Korea ²University Transportation Research Center, City College of New York, New York 10031, U.S.A., Korea ³University Transportation Research Center, City College of New York, New York 10031, U.S.A., USA ⁴Chemical & Biological Engineering, University of British Columbia, Vancouver, Canada

Korean Journal of Chemical Engineering, March 2019, 36(3), 356-367(12), 10.1007/s11814-018-0215-5

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Abstract

This work presents an advanced and systematic approach to analytically design the optimal parameters of a two parameter second-order internal model control (IMC) filter that satisfies operational constraints on the output process, the manipulated variable as well as rate of change of the manipulated variable, for a first-order plus dead time (FOPDT) process. The IMC parameters are designed to minimize a control objective function composed of the weighted sum of the error between the process variable and the set point, and the rate of change of the manipulated variable, and to satisfy the desired constraints. The feasible region of the constrained IMC control parameters was graphically analyzed, as the process parameters and the constraints varied. The resulting constrained IMC control parameters were also used to find the corresponding industrial proportional-integral controller parameters of a Smith predictor structure.

Keywords

Optimal IMC Control Operational Constraints Constrained Optimization Analytical Design Approach Constraint Handling

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