Experimental Validation of Fractional PID Controllers Applied to a Two-Tank System

An experimental validation of fractional-order PID (FOPID) controllers, which were applied to a two coupled tanks system, is presented in this article. Two FOPID controllers, a continuous FOPID (cFOPID) and a discrete FOPID (dFOPID), were implemented in real-time. The gains tuning process was accomp...

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Bibliographic Details
Published inMathematics (Basel) Vol. 11; no. 12; p. 2651
Main Authors Sorcia-Vázquez, Felipe de J., Rumbo-Morales, Jesse Y., Brizuela-Mendoza, Jorge A., Ortiz-Torres, Gerardo, Sarmiento-Bustos, Estela, Pérez-Vidal, Alan F., Rentería-Vargas, Erasmo M., De-la-Torre, Miguel, Osorio-Sánchez, René
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2023
Subjects
Algorithms
Analysis
Autonomous underwater vehicles
Calculus
Closed loop systems
Computer software industry
Controllers
Cost function
coupled tanks system
Data acquisition
fractional PID control
Genetic algorithms
Mathematics
Numerical analysis
Optimization
Optimization algorithms
Proportional integral derivative
Real time
real-time control
Simulation
Tanks
Tracking control
Tracking errors
United States
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Summary:An experimental validation of fractional-order PID (FOPID) controllers, which were applied to a two coupled tanks system, is presented in this article. Two FOPID controllers, a continuous FOPID (cFOPID) and a discrete FOPID (dFOPID), were implemented in real-time. The gains tuning process was accomplished by applying genetic algorithms while considering the cost function with respect to the tracking error and control effort. The gains optimization process was performed directly to the two-tanks non-linear model. The real-time implementation used a National Instruments PCIe-6321 card as a data acquisition system; for the interface, we used a Simulink Matlab and Simulink Desktop Real-Time Toolbox. The performance of the fractional controllers was compared with the performance of classical PID controllers.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11122651