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Synthesis of a state feedback controller for an averaging tank with variable filling

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 re-duction of its dimensions, resulting in two system variants. A state feedback and output feedback with integral action control system of the averaging tank was de-signed 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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Details

Category:
Monographic publication
Type:
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Language:
English
Publication year:
2022
Bibliographic description:
Kolankowski M., Piotrowski R.: Synthesis of a state feedback controller for an averaging tank with variable filling// / : , 2022,
DOI:
Digital Object Identifier (open in new tab) 10.1007/978-3-031-03502-9_4
Verified by:
Gdańsk University of Technology

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