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Robust combined feedback/feedforward control for fractional FOPDT systems
Author(s) -
Padula Fabrizio,
Visioli Antonio
Publication year - 2015
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2212
Subject(s) - control theory (sociology) , feed forward , parametric statistics , settling time , computer science , controller (irrigation) , feedback loop , set (abstract data type) , feedback control , robust control , internal model , control (management) , control engineering , control system , mathematics , step response , engineering , computer security , electrical engineering , artificial intelligence , biology , agronomy , statistics , programming language
Summary In this paper, a combined feedback/feedforward design methodology is proposed for fractional systems in order to cope with model uncertainty and to minimize performance degradation. Based on a fractional commensurate uncertain model, a parametric robust controller is first designed. Then, a parametric command signal for the unity feedback loop is designed. Finally, an optimal set of tuning parameters is found by solving a constrained min–max optimization problem in order to minimize the worst‐case settling time. Simulation results show the effectiveness of the methodology. Copyright © 2015 John Wiley & Sons, Ltd.