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Optimal controller synthesis for second order time delay systems with at least one RHP pole.

K Ghousiya Begum1, A Seshagiri Rao2, T K Radhakrishnan1

  • 1Department of Chemical Engineering, National Institute of Technology, Tiruchirappalli, 620 015, Tamilnadu, India.

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|January 29, 2019
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Summary
This summary is machine-generated.

This study introduces an optimal H2 minimization framework for PID controllers, enhancing control of unstable time-delay systems. The new method improves performance and practical applicability, validated on an inverted pendulum.

Keywords:
H(2) minimizationInternal model controlMaximum sensitivityPID controllerProcess control

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Area of Science:

  • Control Engineering
  • Systems Theory

Background:

  • PID controllers are widely used but challenging for unstable time-delay systems.
  • Existing tuning methods often struggle with systems having right-half-plane poles.

Purpose of the Study:

  • To develop an optimal H2 minimization framework for PID controller tuning.
  • To enhance control of unstable time-delay systems with right-half-plane poles.

Main Methods:

  • Utilizing a refined Internal Model Control (IMC) filter configuration.
  • Employing an underdamped model-based filter for improved reset action.
  • Implementing a single adjustable closed-loop tuning parameter.

Main Results:

  • The proposed controller demonstrates superior performance compared to existing techniques.
  • Guidelines for selecting the tuning parameter based on sensitivity functions are provided.
  • Successful experimental validation on an inverted pendulum system.

Conclusions:

  • The optimal H2 minimization framework offers an effective PID tuning strategy for challenging systems.
  • The method shows significant practical applicability and improved performance metrics.