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Design and Implementation of LMI-Based H2 Control for Vertical Nonlinear Coupled-Tank System

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  • Jaffar Seyyed Esmaeili

    (Electrical Engineering Department, Ataturk University, Turkey)

  • Abdullah Başçi

    (Electrical Engineering Department, Ataturk University, Turkey)

Abstract

This paper presents the mathematical design and implementation of a robust H_2 output feedback controller for the vertical nonlinear coupled-tank system. Considering the growth of the complicated chemical processes in industries in the last decades, the necessity for the controllers with high robustness and proficiency is demanded. Therefore, to overcome some deficiencies of classical controllers such as Proportional Integral (PI), the robust H_2 output feedback controller is proposed to control the liquid level of the coupled tank system benchmark. Because of the nonlinearity of the system and the interactions between two tanks, the behavior of the controller in terms of the performance and disturbance rejection is on the main scene. The Linear Matrix Inequalities (LMI) is used to derive the design procedure. The effectiveness of the proposed approach in the setpoint tracking is highlighted in comparison with the PI plus feedforward controller and the acceptable results are achieved.

Suggested Citation

  • Jaffar Seyyed Esmaeili & Abdullah Başçi, 2021. "Design and Implementation of LMI-Based H2 Control for Vertical Nonlinear Coupled-Tank System," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 10(4), pages 1-16, October.
  • Handle: RePEc:igg:jsda00:v:10:y:2021:i:4:p:1-16
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    References listed on IDEAS

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    1. Atefeh Marvi Moghadam & Saeed Balochian, 2014. "Synchronization of Economic Systems with Fractional Order Dynamics Using Active Sliding Mode Control," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 4(5), pages 692-704, May.
    2. Seyed Hossein Nabavi & Saeed Balochian, 2018. "The Stability of a Class of Fractional Order Switching System with Time-Delay Actuator," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 7(1), pages 85-96, January.
    3. Meziane Salima & Atarsia Loubna & Toufouti Riad, 2018. "A Global Stability of Linearizing Control of Induction Motor for PV Water Pumping Application," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 7(3), pages 31-56, July.
    4. Jalel Ghabi & Ahmed Rhif & Sundarapandian Vaidyanathan, 2018. "Discrete Time Sliding Mode Control Scheme for Nonlinear Systems With Bounded Uncertainties," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 7(2), pages 15-33, April.
    5. Mohd Arif, 2020. "Fuzzy Modelling and Chaos Control in the Photogravitational Magnetic Binary Problem With Potential From a Belt," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 9(3), pages 26-39, July.
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