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Paolo Mercorelli



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Paolo Mercorelli


WSEAS Transactions on Systems


Print ISSN: 1109-2777
E-ISSN: 2224-2678

Volume 16, 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 16, 2017



Linear Generalised Model Predictive Control to Avoid Input Saturation through Matrix Conditions

AUTHORS: Paolo Mercorelli

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ABSTRACT: The goal of this contribution is presenting a Theorem which states the stability of a feedback controlled system with a Linear Generalized Model Predictive Control (LGMPC). Concerning the stability, a sufficient and constructive condition on the weight matrices of the cost function used in the optimization problem in LGMPC for one step prediction horizon is demonstrated. The condition consists of a lower bound for one of these matrices. The obtained condition is explained and discussed by means of some physical considerations. The second part of this contribution is devoted to the saturation case and proves a sufficient condition for obtaining stability and saturation avoidance. Two case studies are shown using computer simulations at the end of the paper.

KEYWORDS: Model predictive control· Optimization· Matrix algebra· Discrete systems· Linear systems ·Applications

REFERENCES:

[1] P. Mercorelli, A switching Kalman Filter for sensorless control of a hybrid hydraulic piezo actuator using MPC for camless internal combustion engines, In Proceedings of the IEEE International Conference on Control Applications, 2012, pp. 980-985.

[2] P. Mercorelli, A switching model predictive control for overcoming a hysteresis effect in a hybrid actuator for camless internal combustion engines, In Proceedings of the IEEE PRECEDE 2011 – International Workshop on Predictive Control of Electrical drives and Power Electronics, 2011, pp. 10-16.

[3] S.J.Qin and T.A. Badgwell, A survey of industrial model predictive control technology, Control Engineering Practice, Vol.11, No.7 2003, pp.733-764.

[4] S. Bolognani, L. Peretti, and M. Zigliotto, Design and implementation of model predictive control for electrical motor drives, IEEE Transactions on Ind. ustrial Electronics, Vol. 56, No.6, 2009, pp. 1925-1936.

[5] V.A. Neelakantan, G.N. Washington, and N.K. Bucknor, Model predictive control of a twostage actuation system using piezoelectric actuators for controllable industrial and automotive brakes and clutches, Journal of Intelligent Materials Systems and Structures, Vol.19, No.7, 2008, pp. 845-857.

[6] Z. Hu and D.F. Farson, Design of a waveform tracking system for a piezoelectric actuator, In Proceedings of the Institution of Mechanical Engineers, Vol. 222, 2008, pp. 11-21.

[7] H. Sunan, T.K. Kiong, and L.T. Heng, Applied Predictive Control, Springer-Verlag London, printed in Great Britain, 2002.

WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 16, 2017, Art. #35, pp. 313-322


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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