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Rami A. Maher
Karim M. Aljebory



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Rami A. Maher
Karim M. Aljebory


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


Design and Implementation of a Discrete Variable Gain Controller Based on a Numerical Approach

AUTHORS: Rami A. Maher, Karim M. Aljebory

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ABSTRACT: This work presents a design and implementation of discrete variable gain controllers, which are used for regulating industrial systems. The design is derived from the classical discrete deadbeat response approach. The design is based simply on determining a variable gain for each discrete sample such to accomplish the regulation in finite steps equal the system order. The gain computation is performed numerically by solving a system of nonlinear coupled equations using one of the known evolutionary techniques, the genetic algorithm augmented with Newton-Raphson method. Two industrial control systems are considered to testify the designed controller for implementation. The efficacy of the proposed method for parameter variations is explored. Moreover, the results are compared with that based on a finite number of control steps.

KEYWORDS: Digital control, Discrete controllers, deadbeat responce, finite number of control steps, Genetic Algorithm


REFERENCES:

[1] V. Kučera, “Deadbeat control, pole placement, and LQregulation,”Kybernetika, vol. 35, pp.681–692, 1999

[2] V. Kučera, “Deadbeat response is l2 Optimal”, Bill Wolovich Celebratory Event, Cancun 2008, Mexico

[3] Astrom Karl J. Bjorn Witenmark, “Computer Controlled System-Theory and Design”, 3rd ed., Saddle River,NJ: Prentice Hall 1997

[4] Benjamin C. Kuo, “Digital Control Systems”, Oxford University Press-India, 2nd edition 2012

[5] Michael J. Grimble, “Industrial Control System Design” John Wiley & Sons, Inc. New York, NY, 2000

[6] Rami A. Maher, Eman S. Kareem, “Modeling and Design of suboptimal Controller for a Hydraulic System”, IJCCCE Vol. 11, No. 1, 2011

[7] Robert Paz, HatemElaydi, “Optimal ripple-free deadbeat response”, Int.J. Control, Vol. 71, No. 6, 1998

[8] Dane Baang, DongkyoungChwa, “Deadbeat Control for Linear Systems with Input Constraints”, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E92. A (2009) No. 12, P3390-3393

[9] Constantine A. Karybakas, Constantine A.Barbargires,”Explicit Conditions for Ripple-free DeadBeat Control”, Kybernetica Vol. 32, No. 6, 1996

[10] C. A. Barbargires, “Study of Discrete-Time Control Systems with Dead-Beat Response to Polynomial Inputs”, Ph.D. Dissertation, Aristotle University of Thessaloniki 1994

[11]Vladimir Strejc, “State Space Theory of Discrete Linear Control” Academia Prague, 1981

[12]CrinaGrosan and Ajith Abraham, “ A New Approach for Solving Nonlinear Equations System:, IEEE Transctions on Systems, Man, and Cybernetics-Part A: Systems and Humans, Vol. 38, No.3, May 2008

[13]L. Spiral, V. Ovsjannikov, ”Optimization of Industrial Control Systems” In Czech language, SNTL/ALFA 1982.

[14] www.analog.com, www.hittite.com

WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 12, 2017, Art. #1, pp. 1-8


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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