Abstract
This paper is focused on the design of a control algorithm based on linear algebra for multivariable systems and its application to control of a quadruple tank system. In order to design the controller, the system model is approximated by numerical methods and then a system of linear equations are solved by least square to obtain the optimal control actions. The strategy presented in this paper has the advantage of using discrete equations and therefore a direct implementation in most computer-driven systems is feasible. The simulation results developed on Matlab software shows the effective of the proposed method.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Prusty, S.B., Seshagiri, S., Pati, U.C., Mahapatra, K.: Sliding mode control of coupled tanks using conditional integrators. In: Control Conference (ICC), pp. 146–151. IEEE, Indian (2016)
Vhora, H., Patel, J.: Design of static and dynamic decoupler for coupled quadruple tank level system. Nirma Univ. J. Eng. Technol. 5, 8–12 (2017)
Turki, A., Said, S.H., M’Sahli, F.: Backstepping control for a quadruple tank process based on adaptive observer. In: 12th International Multi-Conference on Systems, Signals & Devices (SSD), pp. 1–5. IEEE (2015)
Maxim, A., Ionescu, C., De Keyser, R.: Modelling and identification of a coupled sextuple water tank system. In: IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR), pp. 1–6. IEEE (2016)
Maxim, A., Ionescu, C.M., Copot, C., De Keyser, R., Lazar, C.: Multivariable model-based control strategies for level control in a quadruple tank process. In: 17th International Conference on System Theory, Control and Computing (ICSTCC), pp. 343–348. IEEE (2013)
Raj, R., Deepa, S.: Modeling and implementation of various controllers used for Quadruple-Tank. In: International Conference on Circuit, Power and Computing Technologies (ICCPCT), pp. 1–5. IEEE (2016)
Yu, S., Wang, Y., Wang, J., Chen, H.: Constrained output feedback H∞ control of a four-tank system. In: IEEE International Conference on Mechatronics and Automation (ICMA), pp. 2048–2053. IEEE (2016)
Azizi, A., Babazadeh, R., Ghiasi, A.: A new combined robust controller using sliding mode and feedback linearization with NDO observer proposed for minimum phase quadruple tank process. In: 4th International Conference Control, Instrumentation, and Automation (ICCIA), pp. 35–41. IEEE (2016)
Zhao, T., Li, P., Cao, J.: Study of interval type-2 fuzzy controller for the twin-tank water level system. Chin. J. Chem. Eng. 20(6), 1102–1106 (2012)
Precup, R., Tomescu, M., Preitl, S., Petriu, E., Fodor, J., Pozna, C.: Stability analysis and design of a class of MIMO fuzzy control systems. J. Intell. Fuzzy Syst. 25(1), 145–155 (2013)
Başçi, A., Derdiyok, A.: Implementation of an adaptive fuzzy compensator for coupled tank liquid level control system. Measurement 91, 12–18 (2016)
Rómoli, S., Serrano, M., Ortiz, O., Vega, J., Scaglia, G.: Tracking control of concentration profiles in a fed-batch bioreactor using a linear algebra methodology. ISA Trans. 57, 162–171 (2015)
Andaluz, V., Sásig, E., Chicaiza, W., Velasco, P.: Linear algebra applied to kinematic control of mobile manipulators. In: International Conference on Information Theoretic Security, pp. 297–306. Springer, Singapore (2017)
Andaluz, V., Sásig, E., Chicaiza, W., Velasco, P.: Control based on linear algebra for mobile manipulators. In: Computational Kinematics, pp. 79–86. Springer, Cham (2016)
Johansson, K.: The quadruple-tank process: a multivariable laboratory process with an adjustable zero. IEEE Trans. Control Syst. Technol. 8, 456–465 (2000)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Sásig, E.R. et al. (2018). An Implementation on Matlab Software for Non-linear Controller Design Based on Linear Algebra for Quadruple Tank Process. In: Rocha, Á., Adeli, H., Reis, L., Costanzo, S. (eds) Trends and Advances in Information Systems and Technologies. WorldCIST'18 2018. Advances in Intelligent Systems and Computing, vol 746. Springer, Cham. https://doi.org/10.1007/978-3-319-77712-2_32
Download citation
DOI: https://doi.org/10.1007/978-3-319-77712-2_32
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77711-5
Online ISBN: 978-3-319-77712-2
eBook Packages: EngineeringEngineering (R0)