Optimal Nash tuning rules for robust PID controllers

Helem Sabina Sánchez, Antonio Visioli, Ramon Vilanova

Research output: Contribution to journalArticleResearchpeer-review

17 Citations (Scopus)


© 2017 The Franklin Institute In this paper, we propose tuning rules for one degree-of-freedom proportional-integral-derivative controllers, by considering important aspects such as the trade-off in the performance in the servo and regulation operation modes and the control system robustness by constraining the maximum sensitivity peak. The different conflicting objectives are dealt with by using a multi-objective optimization algorithm to generate the trade-off optimal solutions. In this context, a simple tuning rule is determined by using the Nash solutions as a multi-criteria decision making technique. The Nash criteria is shown to provide convenient trade-off solutions for the controller tuning problem. Illustrative simulation examples show the effectiveness of the method.
Original languageEnglish
Pages (from-to)3945-3970
JournalJournal of the Franklin Institute
Issue number10
Publication statusPublished - 1 Jul 2017


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