The four tank system is a widely used mechatronic laboratory system in control theory. This work is aimed to choose the best controller for the four tank system (4TS) with two input force. The optimal control is one of the best techniques in a sense of performance, and is demonstrated for the level control of 4TS. There are several controller systems in optimal control for this purpose which are Linear Quadratic Regulator (LQR), Linear Quadratic Gaussian Regulator (LQGR), H2, and H∞ controller system. These controllers will be applied to this important mechatronic system (4TS) separately, and compared the performance for disturbance rejection with each other to study the effect of these controller systems on the 4TS controlled state. On the other hand the performances of the optimal control systems are compared with other controller performances available in literatures for the same case study. The results indicate that the Linear Quadratic Regulator (LQR) provides significant improvement over completely controllers. The simulations were carried out in MATLAB-Simulink.
| Published in | International Journal of Systems Science and Applied Mathematics (Volume 1, Issue 4) |
| DOI | 10.11648/j.ijssam.20160104.11 |
| Page(s) | 30-41 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Mechatronic System; Optimal Control; LQR; LQGR; H2 Method; H∞ Method
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APA Style
Wael A. Altabey. (2016). Model Optimal Control of the Four Tank System. International Journal of Systems Science and Applied Mathematics, 1(4), 30-41. https://doi.org/10.11648/j.ijssam.20160104.11
ACS Style
Wael A. Altabey. Model Optimal Control of the Four Tank System. Int. J. Syst. Sci. Appl. Math. 2016, 1(4), 30-41. doi: 10.11648/j.ijssam.20160104.11
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Download@article{10.11648/j.ijssam.20160104.11,
author = {Wael A. Altabey},
title = {Model Optimal Control of the Four Tank System},
journal = {International Journal of Systems Science and Applied Mathematics},
volume = {1},
number = {4},
pages = {30-41},
doi = {10.11648/j.ijssam.20160104.11},
url = {https://doi.org/10.11648/j.ijssam.20160104.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20160104.11},
abstract = {The four tank system is a widely used mechatronic laboratory system in control theory. This work is aimed to choose the best controller for the four tank system (4TS) with two input force. The optimal control is one of the best techniques in a sense of performance, and is demonstrated for the level control of 4TS. There are several controller systems in optimal control for this purpose which are Linear Quadratic Regulator (LQR), Linear Quadratic Gaussian Regulator (LQGR), H2, and H∞ controller system. These controllers will be applied to this important mechatronic system (4TS) separately, and compared the performance for disturbance rejection with each other to study the effect of these controller systems on the 4TS controlled state. On the other hand the performances of the optimal control systems are compared with other controller performances available in literatures for the same case study. The results indicate that the Linear Quadratic Regulator (LQR) provides significant improvement over completely controllers. The simulations were carried out in MATLAB-Simulink.},
year = {2016}
}
TY - JOUR T1 - Model Optimal Control of the Four Tank System AU - Wael A. Altabey Y1 - 2016/10/15 PY - 2016 N1 - https://doi.org/10.11648/j.ijssam.20160104.11 DO - 10.11648/j.ijssam.20160104.11 T2 - International Journal of Systems Science and Applied Mathematics JF - International Journal of Systems Science and Applied Mathematics JO - International Journal of Systems Science and Applied Mathematics SP - 30 EP - 41 PB - Science Publishing Group SN - 2575-5803 UR - https://doi.org/10.11648/j.ijssam.20160104.11 AB - The four tank system is a widely used mechatronic laboratory system in control theory. This work is aimed to choose the best controller for the four tank system (4TS) with two input force. The optimal control is one of the best techniques in a sense of performance, and is demonstrated for the level control of 4TS. There are several controller systems in optimal control for this purpose which are Linear Quadratic Regulator (LQR), Linear Quadratic Gaussian Regulator (LQGR), H2, and H∞ controller system. These controllers will be applied to this important mechatronic system (4TS) separately, and compared the performance for disturbance rejection with each other to study the effect of these controller systems on the 4TS controlled state. On the other hand the performances of the optimal control systems are compared with other controller performances available in literatures for the same case study. The results indicate that the Linear Quadratic Regulator (LQR) provides significant improvement over completely controllers. The simulations were carried out in MATLAB-Simulink. VL - 1 IS - 4 ER -
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