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Model predictive control of resonant systems using Kautz model

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Abstract

The scope of this paper broadly spans in two areas: system identification of resonant system and design of an efficient control scheme suitable for resonant systems. Use of filters based on orthogonal basis functions (OBF) have been advocated for modelling of resonant process. Kautz filter has been identified as best suited OBF for this purpose. A state space based system identification technique using Kautz filters, viz. Kautz model, has been demonstrated. Model based controllers are believed to be more efficient than classical controllers because explicit use of process model is essential with these modelling techniques. Extensive literature search concludes that very few reports are available which explore use of the model based control studies on resonant system. Two such model based controllers are considered in this work, viz. model predictive controller and internal model controller. A model predictive control algorithm has been developed using the Kautz model. The efficacy of the model and the controller has been verified by two case studies, viz. linear second order underdamped process and a mildly nonlinear magnetic ball suspension system. Comparative assessment of performances of these controllers in those case studies have been carried out.

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Correspondence to Prabirkumar Saha.

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Recommended by Associate Editor Dong-Hua Zhou

ShamikMisra received the bachelor degree from Heritage Institute of Technology, Kolkata and Masters degree from IIT Guwahati, India. He is now working as senior research fellow at IIT Guwahati, India.

His research interests include modelling and control of chemical and biochemical processes.

ORCID iD: 0000-0002-1684-4174

Rajasekhara Reddy received the bachelor degree from Kakatiya Institute of Technology and Science, Warangal and master degree from Anna University, India. Currently he is a Ph. D. degree candidate at IIT Guwahati, India.

His research interests include nonlinear system identification and predictive control.

Prabirkumar Saha received the B.Eng. degree in chemical engineering from Jadavpur University, India in 1992 and the M.Tech. and Ph.D. degrees in chemical engineering from the Indian Institute of Technology Madras, in 1994 and 1998, respectively. He has got 15 years of post-Ph.D. experience both in industry and academia. Prior to joining his present job, he had undertaken professional responsibilities at the National University of Singapore, General Electric (USA) and Cranfield University (England). Currently, he is a professor in the Department of Chemical Engineering at Indian Institute of Technology Guwahati. He has published about 70 refereed journal and conference papers. He is a member of American Institute of Chemical Engineers. He is a recipient of Fulbright-Nehru Award for International Education Administrators.

His research interest include process control and liquid membrane based separation process.

ORCID iD: 0000-0002-1121-1829

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Misra, S., Reddy, R. & Saha, P. Model predictive control of resonant systems using Kautz model. Int. J. Autom. Comput. 13, 501–515 (2016). https://doi.org/10.1007/s11633-016-0954-x

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