Optimal tuning of scaling factors and membership functions for mamdani type PID fuzzy controllers

A. Sebastiao, C. Lucena, L. Palma, Alberto Cardoso, P. Gil

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

Abstract

This study addresses the problem of tuning Mamdani-type fuzzy Proportional-Integral-Derivative controllers by solving a constrained nonlinear optimisation problem. Two different schemes are discussed. One considers merely the scaling factors optimisation, while assuming the membership functions width unchanged. In second methodology both scaling factors and membership functions width adjusted. The cost function under minimisation is chosen as the closed loop performance index, with the system dynamics described by a nonlinear model. In addition, a set of constraints to the optimisation problem are taken into account, namely bounds on scaling factors, control actions and also on the system outputs. For the second approach, extra constraints on membership functions width are also included in problem formulation. Experimental results carried out on a Multi-Input Multi-Output benchmark system shows the out-performance of considering the optimising of both scaling factors and membership function widths.
Original languageEnglish
Title of host publicationControl, Automation and Robotics (ICCAR), 2015 International Conference on
Pages92-96
Number of pages5
DOIs
Publication statusPublished - 1 May 2015
EventInternational Conference on Control, Automation and Robotics ICCAR - Singapore
Duration: 20 May 201522 May 2015

Conference

ConferenceInternational Conference on Control, Automation and Robotics ICCAR
CitySingapore
Period20/05/1522/05/15

Keywords

  • Mamdani type PID fuzzy controllers
  • scaling factors
  • membership functions

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    Sebastiao, A., Lucena, C., Palma, L., Cardoso, A., & Gil, P. (2015). Optimal tuning of scaling factors and membership functions for mamdani type PID fuzzy controllers. In Control, Automation and Robotics (ICCAR), 2015 International Conference on (pp. 92-96) https://doi.org/10.1109/ICCAR.2015.7166009