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Fractional-order ADRC framework for fractional-order parallel systems

2020 39th Chinese Control Conference (CCC), 2020
This study discusses the control of parallel fractional order systems (FOSs) by the fractional-order active disturbance rejection control (FOADRC) technique. The FOADRC framework for linear FOSs and the necessary conditions for the existence of a stable controller of the system are given.
Zong-yang LI   +5 more
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Fractional‐order iterative learning control for fractional‐order linear systems

Asian Journal of Control, 2011
AbstractIn this paper, we discuss in time domain the convergence of the iterative process for fractional‐order systems. Fractional order iterative learning updating schemes are considered. For the linear time invariant (LTI) system case, the convergence conditions of the fractional‐order and integer‐order iterative learning schemes are proved to be ...
Li, Yan, Chen, YangQuan, Ahn, Hyo-Sung
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Iterates of Fractional Order

Canadian Journal of Mathematics, 1950
The body of this paper is a complete answer to the following question:Let E be any space whatever. g(x) is a function mapping E into E. When does there exist a function f(x), of the same type, such that(1)
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Adaptive fractional-order Kalman filters for continuous-time nonlinear fractional-order systems with unknown parameters and fractional-orders

International Journal of Systems Science, 2021
In this paper, two types of adaptive Kalman filters are proposed by using the Grunwald-Letnikov (G-L) difference method to estimate the state information of continuous-time nonlinear fractional-ord...
Yang, Chuang   +3 more
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A Modified Fractional-Order Unscented Kalman Filter for Nonlinear Fractional-Order Systems

Circuits, Systems, and Signal Processing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdolrahman Ramezani   +1 more
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Fractional-Order Models of the Ultracapacitors

2013
In the paper, dynamic behavior of the ultracapacitors is investigated and analyzed. The ultracapacitors are represented by equivalent electrical circuit models and mathematically described by fractional-order differential equations. The identification procedure is proposed to identify the parameters of the models.
Pawel Skruch, Wojciech Mitkowski
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Fractional order describing functions

Signal Processing, 2015
This paper addresses limit cycles and signal propagation in dynamical systems with backlash. The study follows the describing function (DF) method for approximate analysis of nonlinearities and generalizes it in the perspective of the fractional calculus.
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Fractional-order memristive systems

2009 IEEE Conference on Emerging Technologies & Factory Automation, 2009
This paper deals with the concept of (integer-order) memristive systems, which are generalized to non-integer order case using fractional calculus. We consider the memory effect of the fractional inductor (fractductor), fractional capacitor and fractional memristor.
Ivo Petrás   +2 more
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Fractional-order modeling of a diode

Communications in Nonlinear Science and Numerical Simulation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. A. Tenreiro Machado   +1 more
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Fractional-Order PID Controller and Fractional-Order Disturbance Observer

2018
Over the past decades, some important results on fractional-order controllers have been proposed for various systems. Podlubny introduced the concept of a fractional-order PIλDμ controller, including a fractional-order integrator and a fractional-order differentiator. A well-known fractional-order controller was presented by Oustaloup et al.
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