Tuning of mamdani-type pid controllers: A constrained nonlinear optimisation approach

Paulo Gil, Ana Sebastião, Luís Palma

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter addresses the Fuzzy PID controller’s tuning problem, by considering a nonlinear constrained optimisation framework based on a differential evolutionary method. Two basic adaptation schemes are evaluated, depending on the controller’s parameters to be adjusted. In one of the approaches, merely the fuzzy-pid controller’s scaling factors are adjusted, while the other considers a joint optimisation of scaling factors and membership functions width. The performance index under minimisation is represented by a quadratic cost function, including the control error and the increment of control action. Constraints on the scaling factors, membership functions, and on the system’s inputs and outputs are incorporated into the optimisation problem. Experiments carried out on a Multi-InputMulti-Output benchmark system favour the joint optimisation of scaling factors and membership functions.

Original languageEnglish
Title of host publicationFocus on Swarm Intelligence Research and Applications
PublisherNova Science Publishers, Inc.
Pages45-60
Number of pages16
ISBN (Electronic)9781536124538
ISBN (Print)9781536124521
Publication statusPublished - 1 Jan 2017

Keywords

  • Closed-loop performance
  • Constrained nonlinear optimisation
  • Differential evolutionary computation
  • Fuzzy-PID control tuning

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