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Robust fractional-order control

2018-12-12
 

Academic Report

Title: Robust fractional-order control(I)

Time: December 13, 2018 (Thursday) AM

Location: A702# room, Innovation Park Building

Title: Robust fractional-order control(II)

Time: December 14, 2018 (Friday) AM 10:00-11:30

Location: A1101# room, Innovation Park Building

Reporter: Fabrizio Padula(Curtin University)

Contact: WANG Lei

 

Abstract: Proportional-integral-derivative (PID) controllers are pervasive in industry because of the attractive cost/benefit return that they offer. In this context, fractional calculus (differentiation or integration of non-integer orders) provides the natural tool to generalize the PID controller, leading to fractional-order proportional-integral derivative (FOPID) controllers. The design of FOPID controllers has been the subject of many investigations, because of the additional flexibility they provide with respect to standard (integer-order) PID controllers. It is nowadays recognized that FOPID controllers can outperform standard PID controllers, both in robustness and in performance. In particular, the ability of fractional controllers to improve the well-known performance/robustness trade-off that restricts the design of a control system has fueled the increasing interest in fractional systems and fractional calculus, both from academia and from industry. The talk will focus on the problem of designing robust FOPID controllers, and more broadly, on other general results in the design of robust fractional control systems. The rationale behind the talk is to propose design techniques that explicitly take into account the fundamental performance/robustness trade-off. In particular, an introduction on fractional calculus and fractional linear systems will first be presented. Then, a selection of results from the research on fractional control carried out by Dr Padula will be presented and discussed; including optimal FOPID control, generalized isodamping, input regulation, model-matching design, and complex-order PID controllers.