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Controller design approach based on linear programming.

Ryo Tanaka1, Hiroki Shibasaki, Hiromitsu Ogawa

  • 1Meiji University, Electronics and Bioinformatics, 1-1-1, Higashimita, Tama-ku, Kawasaki, Kanagawa 214-8571, Japan.

ISA Transactions
|August 6, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces a control system design with a load disturbance observer, improving convergence speed. The method enhances system performance under load disturbances, validated by simulations and DC motor experiments.

Keywords:
Final-value theoremLinear programmingLinear quadratic regulatorLoad disturbance observerRouth–Hurwitz stability criterion

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Area of Science:

  • Control Systems Engineering
  • System Dynamics
  • Applied Mathematics

Background:

  • Load disturbances significantly impact control system performance.
  • Conventional methods often struggle with rapid disturbance rejection.
  • Accurate estimation and compensation of disturbances are crucial for robust control.

Purpose of the Study:

  • To present a novel control system design incorporating a load disturbance observer.
  • To determine observer and feedback gains using established mathematical techniques.
  • To validate the proposed method's effectiveness through simulation and experimental analysis.

Main Methods:

  • Design of a control system featuring a load disturbance observer.
  • Determination of observer gains via linear programming (LP) using Routh-Hurwitz stability and the final-value theorem.
  • Determination of feedback gains using the linear quadratic regulator (LQR) method.

Main Results:

  • The proposed method demonstrates faster output convergence to the reference input compared to conventional approaches when load disturbances are present.
  • Simulation results confirm the observer's ability to accurately estimate and compensate for load disturbances.
  • Experimental validation using a DC motor confirms the practical effectiveness of the designed control system.

Conclusions:

  • The developed control system with a load disturbance observer offers superior performance in handling load disturbances.
  • The integration of LP for observer gain tuning and LQR for feedback control provides a robust and efficient design methodology.
  • The study successfully demonstrates a practical and effective approach for enhancing control system resilience to external disturbances.