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Leonardo Acho



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Leonardo Acho


WSEAS Transactions on Systems and Control


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

Volume 14, 2019

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 14, 2019



Impulsive Control Realization Applied to Non-Dissipative First Order Plants: An Academic Electronic Implementation

AUTHORS: Leonardo Acho

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ABSTRACT: Impulsive control design is a control strategy mainly based on the impulsive differential model of the plant to be stabilized. Hence, this system should have at least one state variable able to be driven by impulsive commands. On the other hand, analog electronic realization of an impulsive control algorithm may be an important competition for engineering students. Therefore, the main objective of this paper is to pose an impulsive control method to non-dissipative first order systems along with an electronic circuit design to validate a contribution on impulsive control aim. According to our experimental results, our electronic architecture to reproduce an impulsive control law results effective to accomplished asymptotic stability of the closed-loop system in the Lyapunov’s sense.

KEYWORDS: - Impulsive control, Electronic implementation, First order systems, Lyapunov stability.

REFERENCES:

[1] Yang, T., Impulsive Control, IEEE Transaction on Automatic Control, Vol. 44, No. 5, 1999, pp. 1081-1083.

[2] Yang, T., Impulsive Systems and Control: Theory and Applications, Nova Science Publishing, Inc., 2001.

[3] Haddad, W. M., Chellaboina, V., and Nersesov, S. G., Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Contrtol, Princeton University Press, 2006.

[4] Bupp, R. T., Bernstein, D. S., Chellaboina, V., and Haddad, W. M., Retting Virtual Absorbers for Vibration Control, Journal of Vibration and Control, Vol. 6, 2000, pp. 61-83.

[5] Zidong, A., and Chen C., Asymptotic Stability Analysis and Design of Nonlinear Impulsive Control Systems, Nonlinear Analysis: Hybrid Systems, Vol. 24, 2017, pp. 244-252.

[6] Lakshmikantham, V., Bainov, D. D., and Simeonov, P. S., Theory of Impulsive Differential Equations, World Scientific, 1989.

[7] Dorčák, Ľ., Terpák, J., Petráš, I., and Dorčáková, F., Electronic realization of the fractional-order systems. Acta Montanistica Slovaca, Vol. 12, No. 3, 2007, pp. 231-237.

[8] Lai, Q., Norouzi, B., and Liu, F., Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors. Chaos, Solitons & Fractals, Vol. 114, 2018, pp. 230- 245.

[9] Jothimurugan, R., Suresh, K., Ezhilarasu, P. M., and Thamilmaran, K., Improved realization of canonical Chua's circuit with synthetic inductor using current feedback operational amplifiers. AEU-International Journal of Electronics and Communications, Vol. 68, No. 5, 2014, pp. 413-421.

[10] Saichev, A. I., and Woyczynski, W. A., Distributions in the Physical and Engineering Sciences. Volume I. Birkhäuser-Boston, 1997.

[11] Abuelma'atti, M. T., and Khalifa, Z. J., A novel operational amplifier based square/ triangular/ sinusoidal oscillator. International Journal of Electrical Engineering Education, Vol. 52, No. 3, 2015, pp. 276-283.

[12] Acho Zuppa, L., and Buenestado Caballero, P., A proportional controller based on clustering theory: an academic example of a machine learning discipline. In CSCC 2018: 22nd International Conference on Circuits, Systems, Communications and Computers: Mallorca, Spain: July 14-17, 2018: proceedings book (pp. 1-3). EDP Sciences.

[13] García-Sanz, M., Labrie, H., and Cavalcanti, J. C., Wind Farm Lab Test-Bench for Research/Education on Optimum Design and Cooperative Control of Wind Turbines. In Wind Turbine Control and Monitoring (pp. 411-448). Springer, Cham, 2014.

[14] Jia, L., and Liu, Y. F., Low cost microcontroller based implementation of robust voltage based capacitor charge balance control algorithm. IEEE Transactions on Industrial Informatics, Vol. 9, No, 2, 2013, pp. 869-879.

[15] Vidal, Y., Acho, L., Luo, N., and Tutiven, C. Hardware in the loop wind turbine simulator for control system testing. In Wind Turbine Control and Monitoring (pp. 449-466). Springer, Cham, 2014.

[16] Vidal, Y., Acho, L., Cifre, I., Garcia, À., Pozo, F., and Rodellar, J. Wind turbine synchronous reset pitch control. Energies, 10(6), 2017, 770.

[17] Benítez, S., and Acho, L. Impulsive synchronization for a new chaotic oscillator. International Journal of Bifurcation and Chaos, 17(02), 2007, 617-623.

WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 14, 2019, Art. #17, pp. 138-142


Copyright Β© 2019 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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