Synthesis of elements with fractional-order impedance based on homogenous distributed resistive-capacitive structures and genetic algorithm

Abstract

Graphical abstract

Novel design of weighted differential evolution for parameter estimation of Hammerstein-Wiener systems

“…GAs introduced by Holland [49] , is a stochastic, effective, and broadly used evolutionary computation algorithm developed to solve real-valued numerical optimization problems [49] . GAs is easy implemented, robust, simple, efficient and reliable global search algorithm that uses three basic operators, like crossover, mutation and selection for generating new efficient population with better fitness [50] . The individuals with better fitness are less likely to trap in local minima.…”

“…The individuals with better fitness are less likely to trap in local minima. Few recent applications of GAs include electrical circuits [50] , supply chain [51] , lungs cancer [52] and wind speed prediction [53] .…”

“…In future, the newly introduced nature inspired heuristics [54] , [27] , [55] , [56] , [50] , [57] like firefly, gravitational search optimization algorithm, bat algorithm, ant bee colony optimization and their recently introduced fractional variants can be good alternatives to boost the accuracy of the proposed Hammerstein Wiener structures.…”

A Single Parameter Voltage Adjustable Immittance Topology for Integer- and Fractional-Order Design Using Modular Active CMOS Devices

“…Recent development indicated that these elements can be designed in the form of solid-state devices based on various approaches, e.g. electrochemical materials [30], [31], electrolytes [32], polymer composites [33], [34], layers of resistive, dielectric and insulating materials [35]. However, these devices are not easily accessible, for instance in a form of standard passive elements series (R, C, L).…”

State feedback controller design of fractional ordinary differential equations coupled with a fractional reaction–advection–diffusion equation with delay

“…Fractional-order calculus has been confirmed to be an effective instrument for many practical scientific engineering models (Valian et al, 2021; Zhou, 2016). In real problems, fractional differential equations are superior to traditional integer-order equations in describing all kinds of materials with memory properties (Jahanshahi et al, 2021), genetic (Ushakov et al, 2020), and simulating dynamic processes (such as fractal media). The anomalous transport process model in the form of time-fractional (Zhou and Guo, 2018) or space-fractional diffusion equation (She et al, 2021) has attracted researchers’ attention.…”