Use of squared magnitude function in approximation and hardware implementation of SISO fractional order system

DOI10.1016/j.jfranklin.2013.05.001zbMath1392.93010OpenAlexW2004895787WikidataQ56925746 ScholiaQ56925746MaRDI QIDQ1659380

Karabi Biswas, Munmun Khanra, Jayanta Kumar Pal

Publication date: 15 August 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2013.05.001

zbMATH Keywords

genetic algorithm (GA)circuit realizationfractional order transfer functions (FOTF)squared magnitude function

Mathematics Subject Classification ID

Approximation methods and heuristics in mathematical programming (90C59) Applications of design theory to circuits and networks (94C30)

Related Items (2)

Existence of solutions for nonlinear fractional \(q\)-difference integral equations with two fractional orders and nonlocal four-point boundary conditions ⋮ A New Method for Getting Rational Approximation for Fractional Order Differintegrals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional multiple birth-death processes with birth probabilities \(\lambda _i(\Delta t)^\alpha +o((\Delta t)^\alpha)\)
• Fractional order control of a coupled tank
• Modeling and analog realization of the fundamental linear fractional order differential equation
• Development of fractional order capacitors based on electrolyte processes
• Chaos in the fractional order unified system and its synchronization
• Anlogue realizations of fractional-order controllers.
• Chaotic synchronization between different fractional-order chaotic systems
• Numerical simulations of fractional systems: An overview of existing methods and improvements
• Fractional-order iterative learning control for fractional-order linear systems
• Optimal Approximation, Simulation and Analog Realization of the Fundamental Fractional Order Transfer Function
• Linear approximation of transfer function with a pole of fractional power
• Stable linear system reduction via a multipoint squared-magnitude continued-fraction expansion
• Fractal system as represented by singularity function
• A squared magnitude continued fraction expansion for stable reduced models
• H(infinity) optimized wave-absorbing control - Analytical and experimental results
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Identification of Parameters of a Half-Order System

This page was built for publication: Use of squared magnitude function in approximation and hardware implementation of SISO fractional order system