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.