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On the design flow of the fractional-order analog filters between FPAA implementation and circuit realization
This work explicitly states the design flows of the fractional-order analog filters used by
researchers throughout the literature. Two main flows are studied: the FPAA implementation …
researchers throughout the literature. Two main flows are studied: the FPAA implementation …
Analog modeling of fractional-order elements: A classical circuit theory approach
N Mijat, D Jurisic, GS Moschytz - IEEE access, 2021 - ieeexplore.ieee.org
In this paper a comprehensive procedure for the analog modeling of Fractional-Order
Elements (FOEs) is presented. Unlike most already proposed techniques, a standard …
Elements (FOEs) is presented. Unlike most already proposed techniques, a standard …
Numerical study for the fractional RL, RC, and RLC electrical circuits using Legendre pseudo‐spectral method
In the presented work, we present an accurate procedure, which is the spectral method, to
find a solution to a certain class of the very important fractional (described by the Liouville …
find a solution to a certain class of the very important fractional (described by the Liouville …
A study on fractional power-law applications and approximations
The frequency response of the fractional-order power-law filter can be approximated by
different techniques, which eventually affect the expected performance. Fractional-order …
different techniques, which eventually affect the expected performance. Fractional-order …
Double exponent fractional-order filters: Approximation methods and realization
The main goal of this work is to exploit different tools in order to approximate a general
double exponent fractional-order transfer function. Through the appropriate selection of the …
double exponent fractional-order transfer function. Through the appropriate selection of the …
Fractional-order and power-law shelving filters: Analysis and design examples
Low-pass and high-pass non-integer order shelving filter designs, which are suitable for
acoustic applications, are presented in this work. A first design is based on a standard …
acoustic applications, are presented in this work. A first design is based on a standard …
Deviation analysis in transient response of fractional-order systems: An elementary function-based lower bound
In this paper, transient response of commensurate fractional-order systems with non-zero
initial conditions is investigated in the viewpoint of the existence of deviation from initial …
initial conditions is investigated in the viewpoint of the existence of deviation from initial …
Realizations of fractional-order PID loop-sha** controller for mechatronic applications
A novel procedure for the realization of a fractional-order PID loop-sha** controller,
suitable for precision control of mechatronic systems, is introduced in this work. Exploiting …
suitable for precision control of mechatronic systems, is introduced in this work. Exploiting …
Passive approximations of double‐exponent fractional‐order impedance functions
Double‐exponent fractional‐order impedance functions are important for modeling a wide
range of biochemical materials and biological tissues. Through appropriate selection of the …
range of biochemical materials and biological tissues. Through appropriate selection of the …
An analytical approach to the stability conditions of a new class of fractional-order control systems by the Lambert-Tsallis function
This paper introduces a novel framework for the stability analysis of fractional-order control
systems with closed-loop characteristic equations in the form of any trinomial given by, with …
systems with closed-loop characteristic equations in the form of any trinomial given by, with …