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Synthesis of a State Feedback Controller for an Averaging Tank with Variable Filling

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Automation 2022: New Solutions and Technologies for Automation, Robotics and Measurement Techniques (AUTOMATION 2022)

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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Correspondence to Michał Kolankowski .

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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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