Proceedings ArticleDOI
A fractional order PID tuning algorithm for a class of fractional order plants
Chunna Zhao,Dingyu Xue,YangQuan Chen +2 more
- Vol. 1, pp 216-221
TLDR
In this article, a fractional order PID controller design method is proposed for a class of fractional-order system models, which can model various real materials more adequately than integer order ones and provide a more adequate description of many actual dynamical processes.Abstract:
Fractional order dynamic model could model various real materials more adequately than integer order ones and provide a more adequate description of many actual dynamical processes. Fractional order controller is naturally suitable for these fractional order models. In this paper, a fractional order PID controller design method is proposed for a class of fractional order system models. Better performance using fractional order PID controllers can be achieved and is demonstrated through two examples with a comparison to the classical integer order PID controllers for controlling fractional order systems.read more
Citations
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Journal ArticleDOI
Review of fractional PID controller
Pritesh Shah,Sudhir Agashe +1 more
TL;DR: This review investigates its progress since the first reported use of control systems, covering the fractional PID proposed by Podlubny in 1994, and is presenting a state-of-the-art fractionalpid controller, incorporating the latest contributions in this field.
Journal ArticleDOI
A Fractional Order Proportional and Derivative (FOPD) Motion Controller: Tuning Rule and Experiments
TL;DR: A new tuning method for fractional order proportional and derivative (PD ¿) or FO-PD controller is proposed for a class of typical second-order plants and shows that the closed-loop system can achieve favorable dynamic performance and robustness.
Journal ArticleDOI
Tuning fractional order proportional integral controllers for fractional order systems
TL;DR: In this paper, two fractional order proportional integral controllers are proposed and designed for a class of fractional-order systems, which can guarantee the desired control performance and the robustness of the designed controllers to the loop gain variations.
Journal ArticleDOI
Technical communique: Fractional order [proportional derivative] controller for a class of fractional order systems
Ying Luo,YangQuan Chen +1 more
TL;DR: Fair comparisons of the three controllers via the simulation tests illustrate that, the IO-PID controller designed may not always be stabilizing to achieve flat-phase specification while both FO-PD and FO-[PD] controllers designed are always stabilizing.
Proceedings ArticleDOI
Fractional order PID control of a DC-motor with elastic shaft: a case study
TL;DR: In this article, a fractional order PID controller is investigated for a position servomechanism control system considering actuator saturation and the shaft torsional flexibility, and a modified approximation method is introduced to realize the designed fractional-order PID controller.
References
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Book
The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order
Keith B. Oldham,Jerome Spanier +1 more
TL;DR: In the beginning, when having significantly cash, why don't you attempt to acquire something basic in the beginning? That's something that will guide you to understand even more in the region of the globe, experience, some places, history, amusement, and a lot more as discussed by the authors.
Journal ArticleDOI
Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
TL;DR: In this article, a fractional-order PI/sup/spl lambda/D/sup /spl mu/controller with fractionalorder integrator and fractional order differentiator is proposed.
Journal ArticleDOI
Frequency-band complex noninteger differentiator: characterization and synthesis
TL;DR: In this article, the state-of-the-art on generalized (or any order) derivatives in physics and engineering sciences is outlined for justifying the interest of the noninteger differentiation.
Fractional-Order Systems and -Controllers
TL;DR: In this article, a concept of fractional-order - controller, involving fractionalorder integrator and fractional order dif- ferentiator, is proposed, and the Laplace transform formula for a new function of the Mittag-Leffler-type is obtained.
Journal ArticleDOI
On fractional calculus and fractional multipoles in electromagnetism
TL;DR: In this article, the authors introduce fractional-order multipoles of electric-charge densities and show that such multipoles effectively behave as intermediate sources bridging the gap between the cases of integer-order point multipoles such as point monopoles, point dipoles, and point quadrupoles, etc.