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Related Experiment Videos

Quantitative feedback synthesis of sampled-data systems with time-delay by approximate Z-transform.

T C Lin1, C H Wang, C C Teng

  • 1Department of Electronic Engineering, Feng-Chia University, Taichung and School of Microelectronic Engineering, Griffith University, Brisbane, Queensland, Australia. tclin@fcu.edu.tw

ISA Transactions
|October 2, 2001
PubMed
Summary

This study introduces equivalent disturbance rejection (EDR) for sampled-data systems with time delays. The method systematically designs digital controllers, overcoming non-minimum phase zeros and stabilizing uncertain systems.

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Area of Science:

  • Control Engineering
  • Systems Theory
  • Digital Control Systems

Background:

  • Sampled-data systems with time delays present challenges in control design due to non-minimum phase zeros.
  • Traditional methods struggle with plant parameter uncertainty and the transformation from analog to digital controllers.

Purpose of the Study:

  • To propose an Equivalent Disturbance Rejection (EDR) technique within the Quantitative Feedback Theory (QFT) framework.
  • To address the design of controllers for sampled-data systems affected by time delays and parameter uncertainty.
  • To provide a systematic and transparent design methodology for physical controller realization.

Main Methods:

  • Utilizing the Equivalent Disturbance Rejection (EDR) concept to manage non-minimum phase zeros from time-delay approximations.

Related Experiment Videos

  • Employing approximate Z-transform to convert analog controllers and plants to their digital equivalents.
  • Treating sampling time as a design parameter to stabilize uncertain sampled-data systems.

    • Main Results:

    • The proposed EDR method effectively overcomes non-minimum phase zeros introduced by time-delay approximations.
    • Adjusting the sampling time allows for the stabilization of uncertain sampled-data systems.
    • The design framework is demonstrated to be systematic, relying on algebraic manipulations.

    Conclusions:

    • The EDR approach offers a robust and transparent method for designing controllers for time-delayed sampled-data systems.
    • This methodology facilitates the direct realization of physical controllers within specified parameter bounds.
    • The QFT-based design framework provides a significant improvement over existing approaches for this class of systems.