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Twice-optimal control design with construction pruning for second order plus time delay systems.

Canxian Li1, Hui Zhang1, Qinruo Wang1

  • 1School of Automation, Guangdong University of Technology, Guangzhou 510006, Guangdong, China.

ISA Transactions
|November 9, 2023
PubMed
Summary

A novel controller, the second-order plus time delay-twice-optimal control and construction pruning (SOPTD-TOCCP) controller, enhances system robustness and set-point tracking. This method offers a simple, reliable, and versatile solution for complex control challenges.

Keywords:
Optimal time scaleRobust enhanceSOPTDTwice-optimal control

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Area of Science:

  • Control Engineering
  • System Dynamics

Background:

  • Second-order plus time delay (SOPTD) systems present significant control challenges due to their inherent dynamics.
  • Effective control strategies are crucial for achieving robust performance and precise set-point tracking in industrial processes.

Purpose of the Study:

  • To propose a novel controller, the SOPTD-TOCCP controller, integrating twice-optimal control (TOC) and construction pruning (CP) methods.
  • To enhance the robustness and set-point tracking capabilities of SOPTD systems.
  • To provide engineers with a fast and accurate method for determining the optimal time scale for improved control.

Main Methods:

  • Design of the TOC controller for SOPTD systems using a classical cascade controller and an extended state observer (ESO).
  • Development of a fast and accurate method for optimal time scale determination.
  • Introduction of a new robust enhancement method and a construction pruning method specifically for SOPTD systems.

Main Results:

  • The proposed SOPTD-TOCCP controller demonstrates strong robustness and excellent set-point tracking performance.
  • A new method facilitates rapid and accurate optimal time scale acquisition, critical for control performance.
  • Analysis reveals the influence of parameter sensitivities on SOPTD systems, guiding controller tuning.

Conclusions:

  • The SOPTD-TOCCP controller is a simple, reliable, and versatile solution for controlling SOPTD systems.
  • The proposed methods significantly improve control performance, particularly robustness, compared to existing approaches.
  • The study offers valuable insights and practical tools for engineers working with SOPTD systems.