Tuning rules for robust FOPID controllers based on multi-objective optimization with FOPDT models

Helem Sabina Sánchez, Fabrizio Padula, Antonio Visioli, Ramon Vilanova

Research output: Contribution to journalArticleResearchpeer-review

30 Citations (Scopus)

Abstract

© 2016 In this paper a set of optimally balanced tuning rules for fractional-order proportional-integral-derivative controllers is proposed. The control problem of minimizing at once the integrated absolute error for both the set-point and the load disturbance responses is addressed. The control problem is stated as a multi-objective optimization problem where a first-order-plus-dead-time process model subject to a robustness, maximum sensitivity based, constraint has been considered. A set of Pareto optimal solutions is obtained for different normalized dead times and then the optimal balance between the competing objectives is obtained by choosing the Nash solution among the Pareto-optimal ones. A curve fitting procedure has then been applied in order to generate suitable tuning rules. Several simulation results show the effectiveness of the proposed approach.
Original languageEnglish
Pages (from-to)344-361
JournalISA Transactions
Volume66
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Balanced tuning
  • Fractional-order PID controllers
  • Multi-objective optimization
  • Nash solution

Fingerprint Dive into the research topics of 'Tuning rules for robust FOPID controllers based on multi-objective optimization with FOPDT models'. Together they form a unique fingerprint.

  • Cite this