Abstract
A new equivalent transfer function (ETF) parameterization algorithm to incorporate the loop interaction effect into the design of multi-loop PI controllers for high dimensional multivariable processes is presented in this paper. The design scheme consists of two stages. In the first, by exploiting the relationship between the equivalent closed-loop transfer function and the inverse of open-loop transfer function, the analytical expression of ETF is derived. In the second stage, based on the ETF, controller parameters for each loop are determined by utilizing the existing PI tuning rules and the simple internal model control method. The proposed ETF parameterization algorithm is more accurate and reasonable compared to the conventional ETF model approximation methods. Furthermore, the advantage of the multi-loop PI controller designed by the proposed ETF is more significant when applied to higher dimensional processes with complicated interaction modes. Several typical industrial process examples show the well-balanced and robust response with the minimum integral absolute error.
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Xiaoli Luan was born in 1979. She received her B.Sc. degree in Industrial Automation and her Ph.D. degree in Control Theory and Control Engineering from Jiangnan University, Wuxi, China, in 2002 and 2010, respectively. She is currently an Assistant Professor of the Institute of Automation, Jiangnan University. Her research interests include robust control and optimization of complex nonlinear systems.
Qiang Chen was born in 1989. He is a doctoral student of the Institute of Automation, Southern Yangtze University. His research interests include robust control and optimization of complex nonlinear systems.
Fei Liu was born in 1965. He received his B.Sc. degree in Electrical Technology and his M.Sc. degree in Industrial Automation from Wuxi Institute of Light Industry, Wuxi, China, in 1987 and 1990, respectively, and his Ph.D. degree in Control Science and Control Engineering from Zhejiang University, Hangzhou, China, in 2002. From 1990 to 1999, he was with Wuxi Institute of Light Industry, first as an Assistant Professor, next as a Lecturer, and then as an Associate Professor. Since 2003, he has been a Professor with the Institute of Automation, Jiangnan University, Wuxi. In 2006, he was a Visiting Professor with The University of Manchester, Manchester, U.K. His research interests include advanced control theory and applications, batch process control engineering, statistical monitoring and diagnosis in industrial process, and intelligent technique with emphasis on fuzzy and neural systems.
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Luan, X., Chen, Q. & Liu, F. Equivalent transfer function based multi-loop PI control for high dimensional multivariable systems. Int. J. Control Autom. Syst. 13, 346–352 (2015). https://doi.org/10.1007/s12555-013-0418-9
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DOI: https://doi.org/10.1007/s12555-013-0418-9