@inproceedings{788f2ef3d9be461288cb422e174a2d59,
title = "Nonlinear optimal control for the quadruple water tank system",
abstract = "A nonlinear optimal control approach is developed for the quadruple water tank system. Approximate linearization around a temporary operating point is applied to the nonlinear dynamic model of the four water tanks which are fed by two pumps. The linearization makes use of Taylor series expansion and of the calculation of the system's Jacobian matrices. For the approximately linearized model of the four water-tank system an H-infinity feedback controller is designed. This controller stands for the solution of the nonlinear optimal control problem for the system under model uncertainty and external perturbations. For the computation of the controller's feedback gain an algebraic Riccati equation is iteratively solved at each time-step the control method. The global asymptotic stability properties of the control method are proven through Lyapunov analysis.",
keywords = "Approximate linearization, Global asymptotic stability, H-infinity control, Jacobian matrices, Lyapunov analysis, Nonlinear optimal control, Quadruple water tank system, Taylor series expansion",
author = "G. Rigatos and G. Cuccurullo and P. Siano and K. Busawon and Masouda Abbaszadeh",
note = "Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved.; International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 ; Conference date: 23-09-2019 Through 28-09-2019",
year = "2020",
month = nov,
day = "24",
doi = "10.1063/5.0026532",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Charalambos Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019",
address = "United States",
}