Abstract
In paper, a nonlinear averaging tank with variable filling is considered. The main purpose of this research work was the modelling and control system synthesis of an averaging tank. The control objectives included ensuring stability and zero steady-state error of the system and achieving settling time as short as possible, while maintaining a minimal overshoot. In order to achieve the intended purpose, firstly a mathematical model of the control plant was derived. The model was adapted to the form required to design the control system by linearization and reduction of its dimensions, resulting in two system variants. A state feedback and output feedback with integral action control system of the averaging tank was designed using a linear-quadratic regulator (LQR) and optimization of weights. The developed control system was tested using MATLAB environment. Finally, based on simulation results, performance of the control system in different variants and effects of optimization were assessed.
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References
Spellman, F.R.: Handbook of Water and Wastewater Treatment Plant Operations. CRC Press LLC, Boca Raton (2003)
Astrom, K.J., Hagglund, T.: PID Controllers: Theory, Design and Tuning, 2nd edn. Instrument Society of America, Research Triangle (1995)
Rojas–Moreno, A., Parra–Quispe, A.: Design and Implementation of a Water Tank Control System Employing a MIMO PID Controller, Faculty of Electrical and Electronic Engineering, National University of Engineering Lima (2008)
Meenatchi Sundaram, S., Venkateswaran, P.R.: Smith predictor implementation of a high dead time interacting tank process. In: International Conference on Recent Innovations in Electrical, Electronics & Communication Engineering (ICRIEECE), Bhubaneswar, India, 27–28 July 2018 (2018)
Janani, S.: Design of integral constant state feedback controller using Ackermann’s function. IOSR J. Electron. Commun. Eng. (IOSR-JECE) 9(1), 58–63 (2014). Ver. I
Bojan-Dragos, C., Hedrea, E., Precup, R., Szedlak-Stinean, A., Roman, R.: MIMO fuzzy control solutions for the level control of vertical two tank systems. In: Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics (ICINCO 2019), Setúbal, Portugal, pp. 810–817. SCITEPRESS (2019)
Berk, P., Stajnko, D., Vindis, P., Mursec, B., Lakota, M.: Synthesis water level control by fuzzy logic. J. Achievements Mater. Manuf. Eng. 45(2), 204–210 (2011)
Naidu, D.S.: Optimal Control Systems. CRC Press, Boca Raton (2003)
Murray, R.M.: Optimization-Based Control. California Institute of Technology, Pasadena (2008)
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Kolankowski, M., Piotrowski, R. (2022). Synthesis of a State Feedback Controller for an Averaging Tank with Variable Filling. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2022: New Solutions and Technologies for Automation, Robotics and Measurement Techniques. AUTOMATION 2022. Advances in Intelligent Systems and Computing, vol 1427. Springer, Cham. https://doi.org/10.1007/978-3-031-03502-9_4
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DOI: https://doi.org/10.1007/978-3-031-03502-9_4
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