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Proportional-Integral-Derivative (PID) controllers are widely used in various control systems to enhance stability and performance. In a thermostat, it adjusts heating or cooling based on the temperature difference between the actual and desired levels. They are often used in automotive speed systems, effectively managing sudden speed changes while maintaining a constant speed under varying conditions. On the other hand, PI controllers, commonly employed in voltage regulation, enhance stability...
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Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
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Related Experiment Video

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Design and Synthesis of a Reconfigurable DNA Accordion Rack
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A reconfigurable PID fault tolerant tracking controller design for LPV systems.

B Rabaoui1, H Hamdi1, N BenHadj Braiek1

  • 1Advanced Systems Laboratory, Tunisian Polytechnic School, La Marsa 2078, Tunisia.

ISA Transactions
|September 10, 2019
PubMed
Summary

This study introduces a reconfigurable PID Fault Tolerant Tracking Controller (PID-FTTC) for Linear Parameter Varying (LPV) systems. The new controller improves tracking accuracy and speed, even with actuator faults and disturbances.

Keywords:
Adaptive polytopic observerLMIsLPV systemPID fault tolerant tracking controller

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Area of Science:

  • Control Systems Engineering
  • Automation and Robotics
  • Nonlinear System Analysis

Background:

  • Linear Parameter Varying (LPV) systems are susceptible to actuator faults and external disturbances, compromising control performance.
  • Existing Fault Tolerant Control (FTC) strategies often exhibit conservatism and limitations in addressing complex fault scenarios.
  • Accurate trajectory tracking with reduced settling time and overshoot is critical in many dynamic systems.

Purpose of the Study:

  • To design and evaluate a novel reconfigurable PID Fault Tolerant Tracking Controller (PID-FTTC) for LPV systems.
  • To enhance control loop performance, focusing on improved accuracy, speed, and reduced error indices.
  • To compare the proposed PID-FTTC against existing FTC techniques.

Main Methods:

  • Development of a new PID-FTTC scheme incorporating a model reference, adaptive PID controller, and an Adaptive Polytopic Observer (APO).
  • Representation of LPV systems using a polytopic LPV description with measurable gain scheduling functions.
  • Stability analysis and controller reconfiguration using Linear Matrix Inequality (LMI) techniques.

Main Results:

  • The developed PID-FTTC demonstrates superior performance compared to previous FTC methods, particularly in settling time, overshoot reduction, and integral error minimization.
  • The proposed approach effectively reduces the conservatism associated with prior methods through enhanced parameter design.
  • Validation through a two-tank process simulation highlights significant improvements in trajectory tracking accuracy and speed under fault conditions.

Conclusions:

  • The reconfigurable PID-FTTC offers a promising solution for robust control of LPV systems facing actuator faults and disturbances.
  • The LMI-based stability analysis provides a rigorous framework for ensuring reliable controller operation.
  • The controller's ability to achieve faster and more accurate trajectory tracking underscores its practical applicability.