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Robust absolute stability analysis for interval nonlinear active disturbance rejection based control system.

Jie Li1, Yuanqing Xia2, Xiaohui Qi1

  • 1Department of Unmanned Aerial Vehicle Engineering, Mechanical Engineering College, Shijiazhuang 050003, PR China.

ISA Transactions
|May 7, 2017
PubMed
Summary
This summary is machine-generated.

Active disturbance rejection control (ADRC) offers superior performance over PID controllers. This study demonstrates ADRC

Keywords:
Absolute stabilityActive disturbance rejection controlInterval systemLurie system.Robust stability

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Area of Science:

  • Control Systems Engineering
  • Nonlinear Control Theory
  • Robust Control

Background:

  • Proportion-integration-differentiation (PID) controllers are widely used but have limitations.
  • Active disturbance rejection control (ADRC) presents a promising alternative with enhanced performance and practicality.
  • Analyzing the stability of ADRC systems under parameter perturbations is crucial for practical applications.

Purpose of the Study:

  • To investigate the robust absolute stability of ADRC-based control systems with plant parameter uncertainties.
  • To develop novel methods for analyzing the stability of ADRC interval control systems.
  • To validate the effectiveness and robustness of ADRC against parametric variations.

Main Methods:

  • Transformation of the ADRC system into a perturbed indirect Lurie system.
  • Application of the Popov criterion and its robust version for stability analysis.
  • Development of new analytical techniques for interval control systems.

Main Results:

  • The proposed methods effectively analyze the robust absolute stability of ADRC interval control systems.
  • Demonstrated convenience and practicability of the developed analytical techniques.
  • Showcased the significant stability robustness of ADRC in the presence of parametric uncertainties.

Conclusions:

  • ADRC exhibits strong stability robustness, making it a reliable control strategy.
  • The developed methods provide a valuable tool for analyzing the stability of ADRC systems.
  • ADRC is a practical and high-performance control technology suitable for replacing traditional PID controllers.