Improvement of the Control System Performance based on Fractional-Order PID Controllers and Models with Robustness Considerations. Issue 4 (2018)

• Record Type: Journal Article
• Authors: Meneses, H.; Guevara, E.; Arrieta, O.; Padula, F.; Vilanova, R.; Visioli, A.
• Is Part Of: IFAC-PapersOnLine. Volume 51:Issue 4(2018)
• Page Start: 551
• Page End: 556
• Publication Date: 2018
• Subjects: Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2018.06.153
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this paper we assess the performance improvement achievable by using onedegree-of-freedom fractional-order proportional-integral-derivative controllers (FOPI/FOPID) instead of their integer-order counterparts (PI/PID). To this end, we take into account a single-pole fractional-order model, which has the advantage of representing a wide variety of process dynamics, ranging from over-damped (first-order models) to under-damped behaviors, depending on the fractional order α. In the proposed analysis we consider a combined performance index which deals with the trade-off between servo and regulatory control modes. Moreover, the performance of the closed-loop system is optimized subject to a robustness constraint, expressed as a target maximum sensitivity of either 1.4 or 2.0. The obtained performance assessment results are shown for different values of the fractional order α of the model and for different normalized dead times, thus quantitatively evaluating the benefits achievable with fractional controllers on a wide variety of process dynamics.