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<p>This paper presents design and development of an optimal robust PI controller based on linear matrix inequalities for a typical industrial process control system.&#xa0;In this method, the design problem has been transformed into a state feedback controller design problem for an augmented uncertainty MIMO system. In this work, a dynamic decoupler is designed to handle loop interaction.&#xa0; The control problem is then solved for the obtained decoupled subsystem by employing a constraint optimization approach,&#xa0;ensuring compliance with a defined LQ cost objective function. Simulation results verify the efficacy of the proposed controller, presenting its effectiveness in achieving both set-point accuracy and disturbance attenuation. Furthermore, the study employs disk margin analysis to ascertain safe ranges for gain and phase margin.</p>

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A linear matric inequality based multi-loop PI control design for coupled multivariable liquid level system

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月14日

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  • Soumya Ranjan Mahapatro,
  • Chandramauleshwar Roy,
  • Raju Patel,
  • Satyajit Das

摘要

This paper presents design and development of an optimal robust PI controller based on linear matrix inequalities for a typical industrial process control system. In this method, the design problem has been transformed into a state feedback controller design problem for an augmented uncertainty MIMO system. In this work, a dynamic decoupler is designed to handle loop interaction.  The control problem is then solved for the obtained decoupled subsystem by employing a constraint optimization approach, ensuring compliance with a defined LQ cost objective function. Simulation results verify the efficacy of the proposed controller, presenting its effectiveness in achieving both set-point accuracy and disturbance attenuation. Furthermore, the study employs disk margin analysis to ascertain safe ranges for gain and phase margin.