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Related Experiment Videos

Computation of stabilizing PI and PID controllers for processes with time delay.

Nusret Tan1

  • 1Inonu University, Engineering Faculty, Dept. of Electrical and Electronics Engineering, 44280, Malatya, Turkey. ntan@inonu.edu.tr

ISA Transactions
|May 5, 2005
PubMed
Summary

A new method computes all stabilizing PI controllers for time-delay systems by plotting stability boundaries. This approach simplifies controller design, avoiding complex approximations and linear programming for improved performance and stability margins.

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Area of Science:

  • Control Engineering
  • Systems Theory
  • Applied Mathematics

Background:

  • Designing controllers for systems with time delays is challenging.
  • Existing methods often rely on approximations like Pade or complex optimization techniques.
  • Achieving specific performance criteria, such as gain and phase margins, adds further complexity.

Purpose of the Study:

  • To introduce a novel, simplified method for computing all stabilizing Proportional-Integral (PI) controllers for time-delay systems.
  • To extend the method for designing Proportional-Integral-Derivative (PID) controllers for such systems.
  • To demonstrate the method's ability to achieve user-specified gain and phase margins.

Main Methods:

  • Plotting the stability boundary locus in the (kp, ki) parameter plane.

Related Experiment Videos

  • Direct computation of stabilizing PI controller parameters without Pade approximation or linear programming.
  • Extension to determine limiting values for PID controller parameters in various planes.

    • Main Results:

    • A straightforward graphical method for identifying all stabilizing PI controllers for time-delay systems.
    • The technique effectively computes controllers that meet specified gain and phase margins.
    • Successful application in designing PID controllers, with results visualized in parameter planes.

    Conclusions:

    • The proposed method offers significant advantages over existing techniques for PI and PID controller design in time-delay systems.
    • It provides a computationally efficient and intuitive approach to achieve robust control.
    • The method facilitates the design of controllers with desired stability and performance characteristics.