Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems
In this paper, an adaptive sliding mode technique based on a fractional-order (FO) switching-
type control law is designed to guarantee robust stability for uncertain 3D FO nonlinear …
type control law is designed to guarantee robust stability for uncertain 3D FO nonlinear …
An efficient algorithm for low-order direct discrete-time implementation of fractional order transfer functions
Fractional order systems become increasingly popular due to their versatility in modelling
and control applications across various disciplines. However, the bottleneck in deploying …
and control applications across various disciplines. However, the bottleneck in deploying …
Computational challenge of fractional differential equations and the potential solutions: a survey
We present a survey of fractional differential equations and in particular of the computational
cost for their numerical solutions from the view of computer science. The computational …
cost for their numerical solutions from the view of computer science. The computational …
Fractional order differentiation by integration and error analysis in noisy environment
The integer order differentiation by integration method based on the Jacobi orthogonal
polynomials for noisy signals was originally introduced by Mboup, Join and Fliess. We …
polynomials for noisy signals was originally introduced by Mboup, Join and Fliess. We …
A comparative analysis of Laguerre‐based approximators to the Grünwald‐Letnikov fractional‐order difference
R Stanisławski, KJ Latawiec… - … Problems in Engineering, 2015 - Wiley Online Library
This paper provides a series of new results in both steady‐state accuracy and frequency‐
domain analyses for two Laguerre‐based approximators to the Grünwald‐Letnikov …
domain analyses for two Laguerre‐based approximators to the Grünwald‐Letnikov …
Synthesis of fractional-order PI controllers and fractional-order filters for industrial electrical drives
This paper introduces an electrical drives control architecture combining a fractional-order
controller and a setpoint pre-filter. The former is based on a fractional-order proportional …
controller and a setpoint pre-filter. The former is based on a fractional-order proportional …
Robust finite-time control of fractional-order nonlinear systems via frequency distributed model
B Wang, J Ding, F Wu, D Zhu - Nonlinear Dynamics, 2016 - Springer
This paper studies the application of frequency distributed model for finite-time control of a
class of fractional-order nonlinear systems. Firstly, a class of fractional-order nonlinear …
class of fractional-order nonlinear systems. Firstly, a class of fractional-order nonlinear …
An edge-weighted second order variational model for image decomposition
Decomposing an image into structure and texture is an important procedure for image
understanding and analysis. Structure retains object hues and sharp edges whilst texture …
understanding and analysis. Structure retains object hues and sharp edges whilst texture …
Optimal wideband digital fractional-order differentiators using gradient based optimizer
In this paper, we propose a novel optimization approach to designing wideband infinite
impulse response (IIR) digital fractional order differentiators (DFODs) with improved …
impulse response (IIR) digital fractional order differentiators (DFODs) with improved …
Takagi-Sugeno fuzzy control for a wide class of fractional-order chaotic systems with uncertain parameters via linear matrix inequality
In this paper, the authors focus on the application of linear matrix inequality (LMI) in the
stabilization of fractional-order chaotic systems and the strict mathematical description and …
stabilization of fractional-order chaotic systems and the strict mathematical description and …