The Quadruple Tank Process with an Interaction : A Mathematical Model

  • Authors

    • E Govinda Kumar
    • B Shiva ram
    • U B.Deepak
    • G Sabarinathan
    2018-04-25
    https://doi.org/10.14419/ijet.v7i2.24.12024
  • Quadruple Tank Process, Interacting Process, Process Modeling, Transfer Function Matrix, MIMO and TITO process.

  • This paper dealt that, the quadruple tanks process with an interaction, which is consisting of four interconnected tanks and included with an interaction of bottom two tanks. The mathematical model of quadruple tankwith interaction is developed throughminimum phase and non-minimum phase by changing a valve position. It described clearly about the mathematical modeling of quadruple-tanks process with an interaction, which is obtained based on minimum and non-minimum characteristics. The obtained process transfer function models are validated using MATLAB simulation. The obtained transfer function models are used to further control and analysis of the same problem.

     

     

  • References

    1. [1] Rajapandiyan, C., and Chidambaram.M "Controller design for MIMO processes based on simple decoupled equivalent transfer functions and simplified decoupler." Industrial & Engineering Chemistry Research Vol. 51, No. 38 (2012), pp.12398-12410.

      [2] GovindaKumar E, Mithunchakravarthi B, and Dhivya N. "Enhancement of PID controller performance for a quadruple tank process with minimum and non-minimum phase behaviors." Procedia Technology vol. 14, (2014), pp.480-489.

      [3] Johansson, K H, “The quadruple-tank process: A multivariable laboratory process with an adjustable zero,†IEEE Transactions on control systems technology Vol.8, No. 3 (2000), pp. 456-465.

      [4] Dormido, Sebastián, and Francisco Esquembre. "The quadruple-tank process: An interactive tool for control education." In European Control Conference (ECC), 2003, pp. 3267-3272. IEEE, 2003.

      [5] Roinila, Tomi, MattiVilkko, and AnttiJaatinen. "Corrected mathematical model of quadruple tank process." IFAC Proceedings Volumes Vol. 41, No. 2 (2008), pp.11678-11683.

      [6] Shneiderman, D., and Palmor.Z. J. "Properties and control of the quadruple-tank process with multivariable dead-times." Journal of Process Control Vol. 20, No. 1 (2010), pp. 18-28.

      [7] Corriou, Jean-Pierre. "Multivariable Control by Transfer Function Matrix." In Process Control, pp. 305-338. Springer, Cham, 2018.

      [8] Biswas, PinakPani, Rishi Srivastava, Subhabrata Ray, and Amar NathSamanta. "Sliding mode control of quadruple tank process." Mechatronics Vol. 19, No. 4 (2009), pp.548-561.

      [9] Kirubakaran, V., RadhakrishnanT. K., and. Sivakumaran N. "Distributed multiparametric model predictive control design for a quadruple tank process." Measurement Vol. 47 (2014),pp. 841-854.

  • Downloads

  • How to Cite

    Govinda Kumar, E., Shiva ram, B., B.Deepak, U., & Sabarinathan, G. (2018). The Quadruple Tank Process with an Interaction : A Mathematical Model. International Journal of Engineering & Technology, 7(2.24), 172-176. https://doi.org/10.14419/ijet.v7i2.24.12024