Abstract
Many industrial processes can be effectively described with first-order plus fractional dead time models. In the case of plants with a large dead time relative to the time constant, approximations in discretizing the time delay can adversely affect the performance and if the sample time is enforced by system requirements, the fractional nature of the delay should be considered. In this paper, an analytical approach to model predictive control tuning for stable and unstable first-order plus dead time models with fractional delay is presented. The existing tuning methods are based on trial and error or numerical optimization approaches and the available closed form equations are limited to plants with integer delays. In this paper, an analytical approach is adopted and the issues of closed loop stability and achievable performance are addressed. Finally, simulation results are used to show the effectiveness of the proposed tuning strategy.
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Peyman Bagheri was born on December 1984 in Tabriz, Iran. He obtained his B.Sc. degree in Electrical Engineering from the Sahand University of Technology in 2007, masters in Control Engineering from K. N. Toosi University of Technology in 2009 and he is currently a Ph.D. student at the K. N. Toosi University of Technology. The main areas of his interest are model predictive control, controller tuning, multivariable control, process control and pH control.
Ali Khaki-Sedigh is currently a professor of control systems with the Department of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran. He obtained an honors degree in mathematics in 1983, a master’s degree in control systems in 1985 and a Ph.D. in control systems in 1988, all in the UK. He is the author and co-author of about 90 journal papers, 170 international conference papers and has published 14 books in the area of control systems. His main research interests are adaptive and robust multivariable control systems, complex systems and chaos control, research ethics and the history of control.
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Bagheri, P., Khaki-Sedigh, A. Closed form tuning equations for model predictive control of first-order plus fractional dead time models. Int. J. Control Autom. Syst. 13, 73–80 (2015). https://doi.org/10.1007/s12555-014-0007-6
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DOI: https://doi.org/10.1007/s12555-014-0007-6