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Variable-order fuzzy fractional PID controller.

Lu Liu1, Feng Pan1, Dingyu Xue1

  • 1Northeastern University, College of Information Science and Engineering, Shenyang 110819, PR China.

ISA Transactions
|December 3, 2014
PubMed
Summary
This summary is machine-generated.

A novel tuning method for variable-order fractional fuzzy PID controllers (VOFFLC) adapts parameters to system changes. This enhances fuzzy logic control effectiveness for fractional-order systems.

Keywords:
Fractional calculusFuzzy controlVariable-ordercontroller

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Area of Science:

  • Control Engineering
  • Fuzzy Systems
  • Fractional Calculus

Background:

  • Fuzzy logic control (FLC) effectively handles parameter variations in control systems.
  • Traditional FLC has limitations in adapting fractional-order parameters, restricting its overall effectiveness.
  • Fractional-order PID controllers offer enhanced control but require adaptive tuning methods.

Purpose of the Study:

  • To propose a new tuning method for variable-order fractional fuzzy PID controllers (VOFFLC).
  • To enable adaptive adjustment of all five fractional-order PID parameters using FLC outputs.
  • To investigate the impact of fractional orders (λ and μ) on control system performance within the VOFFLC framework.

Main Methods:

  • Development of a VOFFLC strategy integrating fuzzy logic with fractional-order PID control.
  • Implementation of a tuning mechanism where FLC outputs dynamically adjust the five parameters of the fractional-order PID controller.
  • Analysis of the influence of fractional orders λ and μ on the controller's fuzzy rules and overall system behavior.

Main Results:

  • The proposed VOFFLC method successfully tunes fractional-order PID controller parameters in real-time.
  • Simulations across four diverse plant models demonstrate the effectiveness and adaptability of the VOFFLC strategy.
  • The study validates the ability of the VOFFLC to manage both fractional-order and integer-order control plants.

Conclusions:

  • The VOFFLC offers a robust and adaptive control solution for systems with varying dynamics.
  • This approach overcomes the limitations of traditional FLC in handling fractional-order parameters.
  • The proposed method enhances control system performance and stability through dynamic parameter tuning.