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Volume 7 Issue 1
Jan.  2020

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2020  >  7(1): 118-125
Sankata Bhanjan Prusty, Sridhar Seshagiri, Umesh Chandra Pati and Kamala Kanta Mahapatra, "Sliding Mode Control of Coupled Tank Systems Using Conditional Integrators," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 118-125, Jan. 2020. doi: 10.1109/JAS.2019.1911831
Citation: Sankata Bhanjan Prusty, Sridhar Seshagiri, Umesh Chandra Pati and Kamala Kanta Mahapatra, "Sliding Mode Control of Coupled Tank Systems Using Conditional Integrators," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 118-125, Jan. 2020. doi: 10.1109/JAS.2019.1911831
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Sliding Mode Control of Coupled Tank Systems Using Conditional Integrators

doi: 10.1109/JAS.2019.1911831
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    Abstract
  • For the problem of set point regulation of the liquid level in coupled tank systems, we present a continuous sliding mode control (SMC) with a " conditional integrator”, which only provides integral action inside the boundary layer. For a special choice of the controller parameters, our design can be viewed as a PID controller with anti-windup and achieves robust regulation. The proposed controller recovers the transient response performance without control chattering. Both full-state feedback as well as output-feedback designs are presented in this work. Our output-feedback design uses a high-gain observer (HGO) which recovers the performance of a state-feedback design where plant parameters are assumed to be known. We consider both interacting as well as non-interacting tanks and analytical results for stability and transient performance are presented in both the cases. The proposed controller continuous SMC with conditional integrators (CSMCCI) provides superior results in terms of the performance measures as well as performance indices than ideal SMC, continuous SMC (CSMC) and continuous SMC with conventional integrator (CSMCI). Experimental results demonstrate good tracking performance in spite of unmodeled dynamics and disturbances.

     

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    • 1In the non-interacting case, the form of the equations are the same, except for the definitions of f(e) and g(e).
    2This is done by removing water from tank 2 using the outlet hand valve.
    References(28)
  • [1]
    B. W. Bequette, Process Control: Modelling, Design and Simulation. Prentice Hall, 2003.
    [2]
    C. A. Smith and A. B. Corripio, Principles and Practice of Automatic Process Control. John Wiley and Sons, Inc., 1998.
    [3]
    H. Pan, H. Wong, V. Kapila, and M. S. de Queiroz, " Experimental validation of a nonlinear backstepping liquid level controller for a state coupled two tank system,” Control Engineering Practice, vol. 13, pp. 27–40, December. 2005. doi: 10.1016/j.conengprac.2003.12.019
    [4]
    H. Gouta, S. H. Said, N. Barhoumi, and F. M’Sahli, " Observer-based backstepping controller for a state-coupled two-tank system,” IETE J. Research, vol. 61, no. 3, pp. 259–268, 2015. doi: 10.1080/03772063.2015.1018846
    [5]
    D. E. Miller and N. Mansouri, " Model reference adaptive control using simultaneous probing, estimation, and control,” IEEE Trans. Automatic Control, vol. 55, pp. 2014–2029, Sept. 2010. doi: 10.1109/TAC.2010.2042983
    [6]
    K. A. Mohideen, G. Saravanakumar, K. Valarmathi, D. Devaraj, and T. K. Radhakrishnan, " Real-coded genetic algorithm for system identification and tuning of a modified model reference adaptive controller for a hybrid tank system,” Applied Mathematical Modeling, vol. 37, pp. 3829–3847, Mar. 2013. doi: 10.1016/j.apm.2012.08.019
    [7]
    N. K. Poulsen, B. Kouvaritakis, and M. Cannon, " Constrained predictive control and its application to a coupled-tanks apparatus,” Int. J. Control, vol. 74, no. 6, pp. 552–564, 2001. doi: 10.1080/00207170010018788
    [8]
    W. Zhang, X. Xu, and Y. Xi, " A new two-degree-of-freedom level control scheme,” ISA Trans., vol. 41, pp. 333–342, Jul. 2002. doi: 10.1016/S0019-0578(07)60092-5
    [9]
    C. C. Ko, B. M. Chen, J. Chen, Y. Zhuang, and K. C. Tan, " Development of a web-based laboratory for control experiments on a coupled tank apparatus,” IEEE Trans. Education, vol. 44, pp. 76–86, Feb. 2001. doi: 10.1109/13.912713
    [10]
    C. Jauregui, M. D. Mermoud, G. Lefranc, R. Orostica, J. C. T. Torres, and O. Beytia, " Conical tank level control using fractional order PID controllers: a simulated and experimental study,” Control Theory and Technology, vol. 14, pp. 369–384, Nov. 2016.
    [11]
    S. R. Mahapatro and B. Subudhi, and S. Ghosh, " Design of a robust optimal decentralized PI controller based on nonlinear constraint optimization for level regulation: an experimental study,” IEEE/CAA J. Autom. Sinica, pp. 1–13, 2019.
    [12]
    Z. Aydogmus, " Implementation of a fuzzy-based level control using SCADA,” J. Expert Systems With Applications, vol. 36, pp. 6593–6597, Apr. 2009. doi: 10.1016/j.eswa.2008.07.055
    [13]
    T. Tani, S. Murakoshi, and M. Umano, " Neuro-fuzzy hybrid control system of tank level in petroleum plant,” IEEE Trans. Fuzzy Systems, vol. 4, pp. 360–368, Aug. 1996. doi: 10.1109/91.531776
    [14]
    S. C. Saxena, V. Kumar, and L. M. Waghmare, " Cascade control of interconnected system using neural network,” IETE J. Research, vol. 48, no. 6, pp. 461–469, 2002. doi: 10.1080/03772063.2002.11416311
    [15]
    S. Kamalasadan and A. A. Ghandakly, " A neural network parallel adaptive controller for dynamic system control,” IEEE Trans. Instrumentation and Measurement, vol. 56, no. 5, pp. 1786–1796, 2007. doi: 10.1109/TIM.2007.895674
    [16]
    N. Almutairi and M. Zribi, " Sliding mode control of coupled tanks,” Mechatronics, vol. 16, pp. 427–441, Sept. 2006. doi: 10.1016/j.mechatronics.2006.03.001
    [17]
    R. Benayache, S. M. Mahmoud, L. Chrifi-Alaoui, P. Bussy, and J.-M. Castelain, " Controller design using second order sliding mode algorithm with an application to a coupled-tank liquid-level system,” in Proc. Int. Conf. Control and Automation (ICCA), pp. 558–563, 2009.
    [18]
    K. H. Johansson, " The quadruple-tank process: a multivariable laboratory process with an adjustable zero,” IEEE Trans. Control Systems Technology, vol. 8, no. 3, pp. 456–465, 2000. doi: 10.1109/87.845876
    [19]
    P. P. Biswas, R. Srivastava, S. Ray, and A. N. Samanta, " Sliding mode control of quadruple tank process,” Mechatronics, vol. 19, pp. 548–561, Jun. 2009. doi: 10.1016/j.mechatronics.2009.01.001
    [20]
    A. Gaaloul and F. M’Sahli, " High gain output feedback control of a quadruple tank process,” in Proc. 14th IEEE Mediterranean Electrochemical Conf. (MELECON), pp. 23–28, May 2008.
    [21]
    S. Larguech, S. Aloui, A. Chaari, A. E. Hajjaji, and Y. Koubaa, " Improved sliding mode of a class of nonlinear systems: application to quadruple tank system,” in Proc. European Control Conf. (ECC), pp. 3203–3208, 2013.
    [22]
    S. Seshagiri and H. Khalil, " Robust output feedback regulation of minimum-phase nonlinear systems using conditional integrators,” Automatica, vol. 41, pp. 43–54, Jan. 2005.
    [23]
    E. Promtun and S. Seshagiri, " Sliding mode control of F-16 longitudinal dynamics,” in Proc. American Control Conf. (ACC), 2008.
    [24]
    S. Seshagiri, " Robust multivariable PI control: applications to process control,” in Proc. 17th World Congr. Int. Federation of Automatic Control, 2008.
    [25]
    H. Vo and S. Seshagiri, " Robust control of F-16 lateral dynamics,” in Proc. 34th IEEE Annual Conf. Industrial Electronics (IECON), pp. 343–348, 2008.
    [26]
    S. Seshagiri, " Position control of permanent magnet stepper motors using conditional servocompensators,” IET Control Theory &Applications, vol. 3, pp. 1196–1208, Sept. 2009.
    [27]
    S. B. Prusty, S. Seshagiri, U. Pati, and K. Mahapatra, " Sliding mode control of coupled tank systems using conditional integrators,” in Proc. Indian Control Conf. (ICC), pp. 146–151, 2016.
    [28]
    S. Nazrullah and H. Khalil, " Robust stabilization of non-minimum phase nonlinear systems using extended high-gain observers,” IEEE Trans. Automatic Control, vol. 56, no. 4, pp. 802–813, 2011. doi: 10.1109/TAC.2010.2069612
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    Highlights

    • Continuous sliding mode control (SMC) with a “conditional integrator”, which only provides integral action inside the boundary layer.
    • The controller recovers the transient response performance without control chattering.
    • Output-feedback design uses a high-gain observer (HGO) which recovers the performance of a state-feedback design.
    • Experimental validation of the proposed controller (continuous SMC with conditional integrators (CSMCCI)).

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