Stability Analysis of Controlled DC Motor

محتوى المقالة الرئيسي

A. Elbkosh Elbkosh
I. Farhat Farhat

الملخص

Controlled dc motors are nonlinear systems, that
show a nonlinear action in their operation including, sub-
harmonics and chaos when they work outside their design
specifications. This nonlinearity forces the motor changing
its normal operation to a random-like behaviour; In this
paper, the nonlinear dynamics of DC motors are
investigated. It is shown that the concept of the Poincaré
map approach and the monodromy matrix method can be
successfully applied to determine the stability of DC motors

تفاصيل المقالة

كيفية الاقتباس
Elbkosh, A. . E., & Farhat , I. F. (2024). Stability Analysis of Controlled DC Motor. The International Journal of Engineering & Information Technology (IJEIT), 3(1). https://doi.org/10.36602/ijeit.v3i1.279
القسم
المقالات

المراجع

A. Elbkosh, “MODELING OF SWITCHING DC-DC

REGULATORS, REVIEW OF METHODS AND

APPLICATIONS ” Proceedings of the ICECE International

Conference, (AsiaMIC 2013), Phuket, Thailand, April 2013.

A. Elbkosh, “Stability Analysis of Switching Systems using the

State Transition Matrix,” Proceedings of the ICECE International

Conference, (ICECE 2013), Benghazi, Libya, March 2013.

M. A. Aizerman and F. R. Gantmakher, “On the stability of

periodic motions,” Journal of Applied Mathematics and

Mechanics (translated from Russian), pp. 1065–1078, 1958.

G. C. Verghese, M. E. Elbuluk, and J. G. Kassakian, “A general

approach to sampled-data modeling for power electronic circuits,”

IEEE Transactions on Power Electronics, vol. PE-1, no. 2, pp. 76– DOI: https://doi.org/10.1109/TPEL.1987.4766356

, 1986.

C. K. Tse, Complex Behavior of Switching Power Converters.

Boca Raton, USA: CRC Press, 2003.

C.K. Tse and M. Di Bernardo, "Complex Behavior in Switching

Power Converters," Proceedings of IEEE, Special Issue on

Applications of Nonlinear Dynamics to Electronic and

Information Engineering, vol. 90, no. 5, pp. 768-781, May 2002. DOI: https://doi.org/10.1109/JPROC.2002.1015006

V. Baushev, Zh. Zhusubaliev, Yu. Kolokolov, and I. Terekhin,

“Local stability of periodic solutions in sampled data control

systems”, Automation and Remote Control, vol. 53, no. 2, pp.

-871, 1992.

M. Di Bernardo, F. Garofalo, L. Glielmo, and F. Vasca,

“Switchings, bifurcations and chaos in DC-DC converters,” IEEE

Transactions on Circuits and Systems-I, vol. 45, no. 2, pp. 133–

, 1998.

M. Di Bernardo, and F. Vasca, “Discrete-Time Maps for the

Analysis of Bifurcations and Chaos in DC/DC Converters” IEEE

Transactions on Circuits and Systems-I, vol. 47, no. 2, pp. 130–

, 2000.

E. Fossas and G. Olivar, “Study of chaos in the buck converter,”

IEEE Transactions on Circuits and Systems-I, vol. 43, no. 1, pp. DOI: https://doi.org/10.1109/TCSII.1996.553408

–25, 1996.

S. Banerjee and G. C. Verghese, eds., Nonlinear Phenomena in

Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear

Control. New York, USA: IEEE Press, 2001.

C.-C. Fang and E. H. Abed, “Sampled-data modelling and analysis

of the power stage of PWM dc-dc converters,” International

Journal of Electronics, vol. 88, pp. 347 – 369, March 2001. DOI: https://doi.org/10.1080/00207210010004111

R. I. Leine and H. Nijmeijer, Dynamics and Bifurcations of NonSmooth

Mechanical

Systems.

Springer,

R. I. Leine, D. H. V. Campen, and B. L. V. de Vrande,

“Bifurcations in nonlinear discontinuous systems,” Nonlinear

Dynamics, vol. 23, pp. 105–164, 2000. DOI: https://doi.org/10.1023/A:1008384928636

A. F. Filippov, Differential equations with discontinuous

righthand sides. Dortrecht: Kluwer Academic Publishers, 1988.

D. Giaouris, S. Banerjee, B. Zahawi, and V. Pickert, “Stability

Analysis of the Continuous Conduction Mode Buck Converter via

Filippov's Method” IEEE Transactions on Circuits and Systems –

I, 2008.