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IMC-PID Fractional Order Filter Multi-loop Controller Design for Multivariable Systems Based on Two Degrees of Freedom Control Scheme

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Abstract

An IMC-PID fractional order filter multi-loop controller design method based on two degrees of freedom paradigm is proposed for Multiple Input-Multiple Output systems with time delays. The interactions among the control loops are considered as disturbances. Thus, a two degrees of freedom control scheme, used for monovariable system to ensure the disturbance rejection, is extended to multivariable systems in order to reduce the effect of the coupling among the control loops. The proposed controller design method requires the control pairing selection with the least interactions and a set-point controller is calculated. An interactions reduction effect controller is calculated for each loop by defining a suitable complementary sensitivity function. The proposed controller design method is simple and systematic in relation with the desired closed loop specifications of each loop. The controllers obtained ensure robustness to process variations. Two illustrative examples are presented to show the merits of the proposed method.

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Correspondence to Tassadit Chekari.

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Recommended by Associate Editor Kyoungchul Kong under the direction of Editor Yoshito Ohta.

Tassadit Chekari received the B.S. and M.S. degrees in Electrical Engineering from University of Tizi-Ouzou, in 2009 and 2011, respectively. She is actually a Ph.D. student at the same University (L2CSP Laboratory). Her research interests include multi-loop control, multivariable systems control, fractional order control, Compensation interactions in multivariable systems

Rachid Mansouri received the B.S. and M.S. degrees in Electrical Engineering from Ecole Nationale Polytechnique d’Alger, Algiers, Algeria in 1990, and 1993, respectively and the Ph.D. degrees in Electrical Engineering from University of Tizi-Ouzou Algeria in 2008. He has been a Professor at University of of Tizi-Ouzou since June 2015. His research interests include H optimization, Electrical machine control, order model reduction, structured system, and fractional order systems control

Maamar Bettayeb received the B.S., M.S., and Ph.D. degrees in Electrical Engineering from University of Southern California, Los Angeles, in 1976, 1978 and 1981, respectively. He worked as a Research Scientist at the Bellaire Research Center at Shell Oil Development Company, Houston, Texas, USA, in the development of seismic signal processing deconvolution algorithms for the purpose of Gas and Oil exploration during 1981/1982. From 1982 to 1988, He directed the Instrumentation and Control Laboratory of High Commission for Research in Algeria. In 1988, He joined the Electrical Engineering Department at King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. He has been Professor at University of Sharjah UAE since August 2000. He is presently the Vice Chancellor for Research and Graduate Studies at University of Sharjah. He has published over 300 journal and conference papers in the fields of control and signal processing. He has also supervised over 50 M. Sc. and Ph. D. students. His recent research interest is in H optimal control, model reduction, signal and image processing, process control, networked control systems, fractional dynamics and control, nonlinear estimation and filtering, soft computing, wavelets, renewable energies and engineering education.

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Chekari, T., Mansouri, R. & Bettayeb, M. IMC-PID Fractional Order Filter Multi-loop Controller Design for Multivariable Systems Based on Two Degrees of Freedom Control Scheme. Int. J. Control Autom. Syst. 16, 689–701 (2018). https://doi.org/10.1007/s12555-016-0699-x

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  • DOI: https://doi.org/10.1007/s12555-016-0699-x

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