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Interval type-2 fuzzy PID controller for uncertain nonlinear inverted pendulum system.

Mohammad El-Bardini1, Ahmad M El-Nagar1

  • 1Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32852, Egypt.

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|March 26, 2014
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Summary
This summary is machine-generated.

A new interval type-2 fuzzy proportional-integral-derivative (IT2F-PID) controller effectively manages uncertain inverted pendulum systems. This simplified type-reduction method enhances control performance compared to existing fuzzy PID controllers.

Keywords:
Fuzzy PID controllersInterval type-2 fuzzy PID controllerInterval type-2 fuzzy logic systemInverted pendulum systemUncertain system

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Area of Science:

  • Control Systems Engineering
  • Fuzzy Logic Systems
  • Robotics

Background:

  • Inverted pendulum systems present significant control challenges due to their inherent instability and nonlinear dynamics.
  • Controlling systems with uncertain models requires robust and adaptive control strategies.
  • Interval type-2 fuzzy logic systems (IT2-FLS) offer enhanced capabilities for handling uncertainties compared to type-1 fuzzy logic systems.

Purpose of the Study:

  • To propose a novel interval type-2 fuzzy proportional-integral-derivative (IT2F-PID) controller for an uncertain inverted pendulum on a cart system.
  • To introduce a new simplified type-reduction method for designing IT2F-PID controllers.
  • To evaluate the effectiveness of the proposed IT2F-PID controller in handling model uncertainties.

Main Methods:

  • Design of an IT2F-PID controller utilizing a proposed simplified type-reduction method.
  • Implementation of an interval type-2 fuzzy logic system (IT2-FLS) to manage structural uncertainties.
  • Comparative analysis with an IT2F-PID controller using the uncertainty bound method and a type-1 fuzzy PID controller (T1F-PID).

Main Results:

  • The proposed IT2F-PID controller demonstrates superior performance in controlling the inverted pendulum system.
  • The simplified type-reduction method effectively addresses system uncertainties.
  • Simulation and practical results confirm significant performance improvements over the T1F-PID controller.

Conclusions:

  • The developed IT2F-PID controller with the simplified type-reduction method is a highly effective solution for controlling uncertain inverted pendulum systems.
  • The IT2-FLS structure inherently handles model uncertainties, leading to improved robustness.
  • This approach offers a promising advancement in fuzzy control for complex dynamic systems.