Design of an Arbitrary-Order PID Controller for a Pneumatic Levitation System

https://doi.org/10.58571/CNCA.AMCA.2023.053

Resumen: In this paper, an arbitrary-order proportional-integral-derivative controller is designed to control a pneumatic levitation system. To do it, an integer-order proportional-integral-derivative controller is tuned using the Matlab/Simulink PID Tuning block. Subsequently, the Curve-Fitting method is applied to approximate the behavior of the arbitrary-order of the integral and derivative part associated with the arbitrary-order controller. The proportional, integral and derivative gains obtained from the integer-order controller are used during the design of the arbitrary-order controller. Numerical simulations are performed in Matlab/Simulink, demonstrating a better transient response of the nonlinear system in comparison with the use of integer-order controllers.

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Ruíz-Serrano, Oscar; Sánchez-López, Carlos. Design of an Arbitrary-Order PID Controller for a Pneumatic Levitation System. Memorias del Congreso Nacional de Control Automático, pp. 307-313, 2023. https://doi.org/10.58571/CNCA.AMCA.2023.053

Palabras clave

Control de Sistemas No Lineales; Modelado e Identificación de Sistemas; Control Clásico

• Bomfim, M.H.S., Lima II, E.J., Monteiro, N.S., and Dias, A.L.A. (2021). A novel hybrid (pid + mrac) adaptive controller for an air levitation system. IEEE Latin America Transactions, 19(8), 1400-1409. doi:10.1109/TLA.2021.9475871.
• Carbajal-G´omez, V.H. and S´anchez-L´opez, C. (2019). Determining accurate lyapunov exponents of a multiscroll chaotic attractor based on snfs. Nonlinear Dynamics, 98(3). doi:10.1007/s11071-019-05288-9.
• Chacón, J., Saenz, J., Torre, L.D.l., Diaz, J.M., and Esquembre, F. (2017). Design of a low-cost air levitation system for teaching control engineering. Sensors, 17(10). doi:10.3390/s17102321.
• Chac´on, J., Vargas, H., Dormido, S., and S´anchez, J. (2018). Experimental study of nonlinear pid controllers in an air levitation system. IFAC-PapersOnLine, 51(4), 304-309. doi:https://doi.org/10.1016/j.ifacol.2018.06.082. 3rd IFAC Conference on Advances in Proportional-Integral-Derivative Control PID 2018.
• Chaos, D., Chacón, J., Aranda-Escolástico, E., and Dormido, S. (2020). Robust switched control of an air levitation system with minimum sensing. ISA Transactions, 96, 327-336. doi:https://doi.org/10.1016/j.isatra.2019.06.020.
• Cho lodowicz, E. and Or lowski, P. (2017). Low-cost air levitation laboratory stand using matlab/simulink and arduino. Pomiary Automatyka Robotyka, 21(226), 33- 39. doi:10.14313/PAR 226/33.
• Colín-Cervantes, J.D., Sánchez-López, C., Ochoa-Montiel, R., Torres-Muñoz, D., Hernández-Mejía, C.M., Sánchez-Gaspariano, L.A., and González-Hernández, H.G. (2021). Rational approximations of arbitrary order: A survey. Fractal and Fractional 2021, Vol. 5, Page 267, 5, 267. doi:10.3390/FRACTALFRACT5040267.
• Escano, J., Ortega, M., and Rubio, F. (2005). Position control of a pneumatic levitation system. In 2005 IEEE Conference on Emerging Technologies and Factory Automation, volume 1, 6 pp.-528. doi:10.1109/ETFA.2005.1612568.
• Escoda, S. (2002). Practical Ventilation Manual: Technical Catalog. Barcelona, Salvador Escoda, S.A.,
• Podlubny, I. (1999). Fractional-order systems and controllers. IEEE Transactions on Automatic Control, 44, 208–214. doi:10.1109/9.739144.
• Ráek, M. and ˇZ´akov´a, K. (2020). Development of control experiments for an online laboratory system. Information, 11(3), 131. doi:10.3390/info11030131.
• Saenz, J., Chacon, J., de la Torre, L., and Dormido, S. (2017). An open software – open hardware lab of the air levitation system. IFAC-PapersOnLine, 50(1), 9168-9173. doi:https://doi.org/10.1016/j.ifacol.2017.08.1727. 20th IFAC World Congress.
• Sánchez-López, C., Carbajal-Gómez, V., Carrasco-Aguilar, M., and Morales-López, F. (2019). Pid controller design based on memductor. AEU – International Journal of Electronics and Communications, 101, 9-14. doi:https://doi.org/10.1016/j.aeue.2019.01.019.
• Sánchez-López, C. (2020). An experimental synthesis methodology of fractional-order chaotic attractors. Nonlinear Dynamics, 100(4). doi:10.1007/ s11071-020-05682-8.
• Tkacik, T., Tkacik, M., Jadlovska, S., and Jadlovska, A. (2021). Design of aerodynamic ball levitation laboratory plant. Processes, 9(11). doi:10.3390/pr9111950.