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Development of a GPC-based PID controller for unstable systems with deadtime

Tan1, Huang, Lee

  • 1Department of Electrical Engineering, National University of Singapore, Singapore. eletankk@nus.edu.sg

ISA Transactions
|May 29, 2000
PubMed
Summary

This study introduces a novel PID controller with time-scheduled gains for unstable systems with deadtime. This approach ensures effective control and stability for challenging dynamic systems.

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Area of Science:

  • Control Engineering
  • Systems Science

Background:

  • Traditional low-order control schemes are insufficient for unstable systems with deadtime.
  • Unstable systems with deadtime present significant control challenges.

Purpose of the Study:

  • To present the first application of a PID controller with time-scheduled gains to unstable systems with deadtime.
  • To design control gains using a generalized predictive control (GPC) approach.
  • To enable on-line self-tuning for sustained effectiveness against disturbances and dynamics variations.

Main Methods:

  • Designing PID controller gains based on a generalized predictive control (GPC) framework.
  • Utilizing classical desired properties (natural frequency, damping ratio) as user specifications.
  • Developing an on-line self-tuning mechanism for control weights.

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  • Conducting a detailed closed-loop stability analysis.

    • Main Results:

    • Demonstrated the applicability of PID controllers with time-scheduled gains to unstable systems with deadtime.
    • Established a method for computing the prediction horizon based on derived stability conditions.
    • Validated the control system's performance through simulation examples.

    Conclusions:

    • The proposed PID controller with time-scheduled gains offers a viable solution for controlling unstable systems with deadtime.
    • The GPC-based design and on-line tuning enhance robustness and adaptability.
    • The stability analysis provides a foundation for effective controller parameter selection.