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Decentralized PID controller for TITO systems using characteristic ratio assignment with an experimental application.

V D Hajare1, B M Patre2

  • 1Department of Instrumentation and Control, Cummins College of Engineering for Women, Karvenagar, Pune 411052, India.

ISA Transactions
|November 3, 2015
PubMed
Summary

This study introduces a decentralized PID controller for time-delayed TITO systems using the characteristic ratio assignment (CRA) method. The approach effectively reduces interaction and achieves desired transient responses, validated by simulations and real-world experiments.

Keywords:
CRA methodDecentralized PID controllerIdeal decouplerInteracting TITO systemsInteracting coupled tank system

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Area of Science:

  • Control Engineering
  • Process Control
  • Automation Systems

Background:

  • Interacting systems, particularly two-input two-output (TITO) systems with time delays, present significant control challenges due to inherent cross-couplings.
  • Traditional control methods often struggle to independently manage multiple inputs and outputs while accounting for system dynamics and delays.
  • Decentralized control strategies offer a promising approach to simplify controller design for complex, multi-variable systems.

Purpose of the Study:

  • To develop and present a novel decentralized Proportional-Integral-Derivative (PID) controller design methodology.
  • To address the control of two-input two-output (TITO) systems characterized by time delays.
  • To leverage the Characteristic Ratio Assignment (CRA) method for achieving desired transient performance in TITO systems.

Main Methods:

  • A decentralized control structure is proposed, utilizing an ideal decoupler to minimize interaction between the two input and two output channels.
  • Each decoupled subsystem is approximated by a First-Order Plus Dead Time (FOPDT) model, facilitating independent controller design.
  • Controller parameters (Proportional, Integral, Derivative gains) are computed using the Characteristic Ratio Assignment (CRA) method based on specified transient response criteria, such as overshoot and settling time.

Main Results:

  • The proposed CRA-based decentralized PID controller design effectively manages TITO systems with time delays.
  • Simulation results on two benchmark examples demonstrate the controller's ability to achieve desired transient responses with reduced interaction.
  • Experimental validation on a real-life interacting coupled tank level system confirms the practical applicability and performance of the designed controller.

Conclusions:

  • The Characteristic Ratio Assignment (CRA) method is a viable and effective technique for designing decentralized PID controllers for TITO systems with time delays.
  • The proposed methodology successfully decouples the system, allowing for independent tuning of controllers for each subsystem, leading to improved overall performance.
  • The controller's efficacy is confirmed through both simulation and practical experimentation, highlighting its robustness and applicability in real-world process control scenarios.