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Repetitive dynamic matrix control for systems with periodic specifications.

Tito L M Santos1, Daniel M Lima2, Julio E Normey-Rico3

  • 1Departamento de Engenharia Elétrica e de Computação (DEEC), Universidade Federal da Bahia (UFBA), Rua Aristides Novis, 02, Federação, Salvador-BA, Brazil.

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|May 9, 2024
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Summary
This summary is machine-generated.

This study introduces Repetitive Dynamic Matrix Control (RDMC) for systems with periodic tasks. The RDMC algorithm effectively tracks periodic references and rejects disturbances, enhancing control system performance.

Keywords:
Constrained systemsData-driven controlDynamic matrix controlRepetitive control

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Area of Science:

  • Control Engineering
  • Automation Systems
  • Signal Processing

Background:

  • Dynamic Matrix Control (DMC) is widely used for process control.
  • Existing control methods struggle with systems requiring precise tracking of periodic references and rejection of periodic disturbances.
  • Open-loop unstable systems present unique challenges for repetitive control.

Purpose of the Study:

  • To propose a novel Repetitive Dynamic Matrix Control (RDMC) algorithm for systems with periodic specifications.
  • To extend the Generalized DMC (GDMC) for repetitive control of open-loop unstable systems.
  • To develop a data-driven filter design for ensuring zero steady-state error in the presence of periodic disturbances.

Main Methods:

  • The proposed RDMC utilizes a modified prediction error to track periodic references and reject disturbances.
  • A repetitive GDMC is developed to handle open-loop unstable systems.
  • The control strategy relies solely on step-response coefficients, maintaining the modeling simplicity of DMC.
  • A data-driven filter is designed to guarantee null prediction steady-state error.

Main Results:

  • The RDMC algorithm successfully tracks periodic references and rejects repetitive disturbances.
  • The repetitive GDMC variant enables control of open-loop unstable systems.
  • The proposed method demonstrates effectiveness in ensuring zero steady-state error for periodic disturbances.
  • Case studies validate the usefulness and illustrate the trade-offs of the RDMC approach.

Conclusions:

  • RDMC is an effective extension of DMC for repetitive control applications.
  • The proposed method offers a robust solution for systems with periodic specifications, including unstable systems.
  • The data-driven filter design enhances disturbance rejection capabilities for periodic signals.