WSEAS Transactions on Systems and Control


Print ISSN: 1991-8763
E-ISSN: 2224-2856

Volume 12, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 12, 2017


Synthesis of Astatic MPC-Regulator for Magnetic Levitation Plant

AUTHORS: Margarita V. Sotnikova, Evgeny I. Veremey

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ABSTRACT: This paper is devoted to linear astatic regulator design using model predictive control (MPC) with the application to magnetic levitation plant. The control objective is the stabilization of a metal ball position at the given point in the air by means of electromagnet. The considered mathematical model is nonlinear with input and output constraints and external disturbances. This allows to state that MPC strategy is a quite suitable approach to be used here. In this paper the algorithm for linear astatic MPC regulator design is proposed. This algorithm is based on predictive model representation in the form of augmentations. The effectiveness of the approach is demonstrated by real-time experiments for a particular magnetic levitation plant.

KEYWORDS: model predictive control, astatic regulator, magnetic levitation, constraints, optimization

REFERENCES:

[1] Sotnikova M. Plasma stabilization based on model predictive control, International Journal of Modern Physics A, Vol. 24, No. 5, 2009, pp. 999-1008.

[2] Ovsyannikov D.A., Veremey E.I., Zhabko A.P., Ovsyannikov A.D., Makeev I.V., Belyakov V.A., Kavin A.A., Gryaznevich M.P., Mcardle G.J. Mathematical methods of plasma vertical stabilization in modern tokamaks, Nuclear Fusion, Vol. 46, No. 8, 2006, pp. S652-S657.

[3] Yang Z., Pedersen G.K.M. and Pedersen J. H. Model-Based Control of a Nonlinear One Dimensional Magnetic Levitation with a Permanent-Magnet Object, in Arreguin J.M.R. (Ed.), Automation and Robotics, InTech, chapter 21, 2008, pp. 359-374.

[4] Namerikawa T., Fujita M. Uncertainty Structure and μ-Synthesis of a Magnetic Suspension System, IEEJ Transactions on Electronics, Information and Systems, Vol. 121, No. 6, 2001, pp. 1080-1087.

[5] Kuo C., Li T. S., Guo N. Design of a novel fuzzy sliding-mode control for magnetic ball levitation system, Journal of Intelligent and Robotic Systems, Vol. 42, Issue 3, 2005, pp. 295–316.

[6] Maciejowski J.M., Predictive Control with Constraints, Prentice Hall, London, 2002, 331 p.

[7] Camacho E.F., Bordons C. Model Predictive Control, 2nd ed., Springer-Verlag, London, 2004, 405 p.

[8] Mayne D.Q., Rawlings J.B., Rao C.V., Scokaert. Constrained model predictive control: Stability and optimality, Automatica, Vol. 36, Issue 6, 2000, pp. 789-814.

[9] MAGLEV (2007): Magnetic Levitation Plant. User Manual. Quanser Inc.

WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 12, 2017, Art. #38, pp. 355-361


Copyright © 2017 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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