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POLE ASSIGNMENT FOR GLASS CAPILLARY TUBE DRAWING PROCESS BY USING MATLAB AND MAPLE LANGUAGE

Authors:

Djordje Dihovicni1
1Technical College, Bulevar Zorana Djindjica 152a, Belgrade, Republic of Serbia, Tel.:+381-11-2600-131, e-mail: ddihovicni@.gmail.com

Received: 15 August 2016
Accepted: 18 September 2016
Available online: 30 September 2016

Abstract:

The question of pole placement for glass capillary tube drawing process is considered. It is used a frequency domain approach to an arbitrary finite spectrum assignment for multivariable time delay systems in order to control glass capillary tube drawing process. The Padé approximation is used for the system of third order and time delay is eliminated from the transfer function of the process. The responses are shown as well the transfer function of the closed loop after applying finite spectrum method. By choosing state variables it is obtained non degenerative transfer function of process model. The time delays in open loop remained the same as in the closed loop. The all poles are located in the left half plane and system is stable. Appropriate program support for this type of problems is developed in Maple language.

Keywords:

Glass capillary, pole placement, time delay, stability, finite spectrum, mathematical model, frequency domain, Pade approximation.

References:

[1] H.G. Chen, K.W. Han, Improved quantities measures of robustness for multivariable system, IEEE Trans. Autom. Control, AC-39, 1994, pp.807-810.
[2] J.R. Clermont, Numerical Modelization of Glass Spinning, Proc. 9th International Congress on Rheology, Mexico, 1984, pp.647- 653.
[3] Dj. Dihovicni, N. Nedic, Stability of Distributed Parameter Systems on Finite Space Interval, 32-nd Yupiter Conference, Zlatibor, 2006, pp.317-320.
[4] Dj. Dihovicni, M. Medenica, Mathematical Modelling and Simulation of Pneumatic Systems, Advances in Computer Science and Engineering, Chapter 9, India, 2011, pp.161- 186.
[5] Dj. Dihovicni, M. Medenica, Fundamental Matrix Approach in Solving Practical Stability for Distributed Parameter Systems, Computationall Intelligence in Business and Economics, 3, 2010: 703-711.
[6] F.T. Geyling, Basic Fluid Dynamic Considerations in the Drawing of Optical Fibers, The Bell System Technical Journal, 55 (8), 1976, 1011-1056.
[7] R.E. Jaeger, A.D. Pearson, J.C. Wiliams, and H.M. Presby, Fiber Drawing and Control in Optical Fiber Telecommunications, Academic Press. New York, 1980.
[8] A. Hmamed, Further results on the delay independent asymptotic stability of linear systems, Int J. System. Sci., 22 (6), 1991: 1127-1132.
[9] E.W. Kamen, Correction to linear systems with commensurate time delays: Stability and stabilization independent of delay, IEEE Trans Autom Control AC-30, 1983, pp.158-161.
[10] M. Lekic, S. Cveic, P. Dasic, Iteration method for solving differential equations of second order oscillations, Techniques Technologies education management, 7 (4), 2012: 1751- 1759.
[11] S. Milinkovic, M. Jovanovic, Determination of the Glass Fibre Freezing Point by Crosscorrelation Technique, Chemical Industry, 50 (2), 1996: 49-54.
[12] M.R. Myers, A model for Unsteady Analysis of Preform Drawing, AIChE. J., 35 (4), 1989: 592- 602.
[13] Z.L. Nenadic,, D.L. Debeljkovic, S.A. Milinkovic, On practical stability of time delay systems, Proceedings of the 1997 American Control Conference, 5 (4-6), 1997: pp.3225- 3236.
[14] H. Papamichael, I.N. Miaoulis, Thermal modelling of the Optical Fiber Drawing Process, Mater Res. Soc. Symp. Proc, 172, 1990: pp.43-48.
[15] S.D. Sarboh, S. Milinkovic, Dj. Dihovicni, D. Debeljkovic, Control of the glass capillary tube drawing process by finite spectrum assignment in complex domain, Young researchers forum of ECCE-1, Florence, 1997, pp.59-65.
[16] Q. Wang, Y. Sun, C. Zhou, Finite spectrum assignment for multivariable systems in frequency domain, Int J. Control, 47 (3), 1988: 729-734.

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)

Volume 9
Number 3
September 2024

Last Edition

Volume 9
Number 3
September 2024

How to Cite

Dj. Dihovicni, Pole Assignment for Glass Capillary Tube Drawing Process by Using Matlab and Maple Language. Applied Engineering Letters, 1(3), 2016: 67-71.

More Citation Formats

Dihovicni, Dj. (2016). Pole Assignment for Glass Capillary Tube Drawing Process by Using Matlab and Maple Language. Applied Engineering Letters, 1(3), 67-71.

Dihovicni, Djordje. “Pole Assignment for Glass Capillary Tube Drawing Process by Using Matlab and Maple Language.“ Applied Engineering Letters, vol. 1, no. 3, 2016, pp. 67-71.

Dihovicni, Djordje. 2016. “Pole Assignment for Glass Capillary Tube Drawing Process by Using Matlab and Maple Language.“ Applied Engineering Letters, 1 (3): 67-71.

Dihovicni, Dj. (2016). Pole Assignment for Glass Capillary Tube Drawing Process by Using Matlab and Maple Language. Applied Engineering Letters, 1(3), pp. 67-71.

POLE ASSIGNMENT FOR GLASS CAPILLARY TUBE DRAWING PROCESS BY USING MATLAB AND MAPLE LANGUAGE

Authors:

Djordje Dihovicni1
1Technical College, Bulevar Zorana Djindjica 152a, Belgrade, Republic of Serbia, Tel.:+381-11-2600-131, e-mail: ddihovicni@.gmail.com

Received: 15.08.2016.
Accepted: 18.09.2016.
Available online: 30.09.2016.

Abstract:

The question of pole placement for glass capillary tube drawing process is considered. It is used a frequency domain approach to an arbitrary finite spectrum assignment for multivariable time delay systems in order to control glass capillary tube drawing process. The Padé approximation is used for the system of third order and time delay is eliminated from the transfer function of the process. The responses are shown as well the transfer function of the closed loop after applying finite spectrum method. By choosing state variables it is obtained non degenerative transfer function of process model. The time delays in open loop remained the same as in the closed loop. The all poles are located in the left half plane and system is stable. Appropriate program support for this type of problems is developed in Maple language.

Keywords:

Glass capillary, pole placement, time delay, stability, finite spectrum, mathematical model, frequency domain, Pade approximation.

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)

Volume 9
Number 3
September 2024

Last Edition

Volume 9
Number 3
September 2024