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

Publication history: Received May 7, 2013
Accepted August 5, 2013

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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Robust PI controller design for integrator plus dead-time process with stochastic uncertainties using operational matrix

Pham Luu Trung Duong Moon Yong Lee^†

School of Chemical Engineering, Yeungnam University, Gyeongsan 712-749, Korea

Korean Journal of Chemical Engineering, November 2013, 30(11), 1990-1996(7), 10.1007/s11814-013-0149-x

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Abstract

To increase the precision and reliability of process control, random uncertainty factors affecting the control system must be accounted for. We propose a novel approach based on the operational matrix technique for robust PI controller design for dead-time processes with stochastic uncertainties in both process parameters and inputs. The use of the operational matrix drastically reduces computational time in controller design and statistical analysis with a desired_x000D_ accuracy over that of the traditional Monte-Carlo method. Examples with deterministic and stochastic inputs were considered to demonstrate the validity of the proposed method. The computational effectiveness of the proposed method was shown by comparison with the Monte-Carlo method. The proposed approach was mainly derived based on the integrator plus dead-time process, but can be easily extended to other types of more complex stochastic systems with dead-time, such as a first-order plus dead-time or a second-order plus dead-time system.

Keywords

Dead-time Process Operational Matrix Robust PI Controller Design Statistical Analysis Stochastic Process Walsh Functions

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