Among other things, it has introduced the notion of fractional order model. Fractional order models are not quite conventional linear models, and not quite conventional distributed parameter models described by a diffusion equation. They are in fact halfway between these two classes of systems, ...
In [44], a simple fractional-order transfer function model of a three-phase voltage source PWM rectifier (VSR) was proposed based on an input/output characteristic experimental method, and the fractional-order PI controller was introduced to improve control quality. However, the model can not be...
The positivity and boundedness of the fractional order model is ensured by applying some standard results of Mittag Leffler function and Laplace transformation. The equilibrium points are described analytically. The existence and uniqueness of the non-integer order model is also confirmed by using result...
In all surveyed models, the employment of fractional-order capacitors, also known as constant phase elements, is imperative not only to the accuracy of the model but to reflect the physical electrochemical properties of the device.DOI: 10.1007/s40243-015-0052-y ...
The object behavior according to the first order inertial model can be described by the following integer order differential equation: $$T\frac{dy(t)}{dt}+y(t)=Ku(t)$$ (2) where: u(t), y(t), K, T –are respectively: input signal, output signal, gain constant and time constant...
A new fractional order (FO) model reduction technique is attempted which increases the parametric robustness of the control loop due to lesser modeling error and ensures iso-damped closed loop response with a <formula formulatype="inline"><tex Notation="TeX">${rm PI}^{lambda} {rm D} ^{mu...
Due to the effects of eddy current, solid-core magnetic bearings (MBs) show fractional-order characteristics. In this paper, a practical strategy for incommensurate fractional-order system identification is adopted to model a solid-core MB. The model structures are firstly determined by selecting the...
model under investigation estimates the real statistical data well enough when considered with the AB fractional order operator which has non-local and non-singular kernel. Bas and Ozarslan16investigated the analytical solutions of some dynamical models such as logistic equation, population growth/decay...
In this paper, we introduce fractional derivative into level set model for image segmentation. Specifically, the integral-order gradient operator of level set function in the energy formulation is generalized to fractional-order, which is owing to the nonlinear protecting capability of fractional-order...
Thesefractionalorder models need the correspondingfractionalorder controllers to be proposed. 对于分数阶模型需要提出相应的分数阶控制器来提高控制效果. 期刊摘选 A signal model based onFractionalBrownian Motion ( FBM ) is a common model in nature. ...