Is fractional-order chaos theory the new tool to model chaotic pandemics as Covid-19?

M Borah, A Gayan, JS Sharma, YQ Chen, Z Wei… - Nonlinear …, 2022 - Springer
The deadly outbreak of the second wave of Covid-19, especially in worst hit lower-middle-
income countries like India, and the drastic rise of another growing epidemic of …

[HTML][HTML] Frequency response analysis for reset control systems: Application to predict precision of motion systems

X Zhang, MB Kaczmarek, SH HosseinNia - Control Engineering Practice, 2024 - Elsevier
The frequency response analysis describes the steady-state responses of a system to
sinusoidal inputs at different frequencies, providing control engineers with an effective tool …

Wave propagation in fractionally damped nonlinear phononic crystals

S Sepehri, MM Mashhadi, MMS Fakhrabadi - Nonlinear Dynamics, 2022 - Springer
Studying wave propagation in phononic crystals (PCs) in the presence of energy dissipation
is a crucial step toward the precise dynamic modeling of periodic structures. Fractional …

[HTML][HTML] Continuous reset element: Transient and steady-state analysis for precision motion systems

N Karbasizadeh, SH HosseinNia - Control Engineering Practice, 2022 - Elsevier
This paper addresses the main goal of using reset control in precision motion control
systems, breaking of the well-known “Waterbed effect”. A new architecture for reset elements …

A frequency-domain stability method for reset systems

AA Dastjerdi, A Astolfi… - 2020 59th IEEE …, 2020 - ieeexplore.ieee.org
The potential of reset controllers to enhance the performance of control systems has been
extensively demonstrated in the literature. However, similarly to other non-linear controllers …

Band-passing nonlinearity in reset elements

N Karbasizadeh, AA Dastjerdi… - … on Control Systems …, 2022 - ieeexplore.ieee.org
This article addresses nonlinearity in reset elements and its effects. Reset elements are
known for having less phase lag based on describing function (DF) analysis compared to …

Negative Imaginary Reset Control Systems

MB Kaczmarek, SH HosseinNia - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this note, we present an extension of the nonlinear negative imaginary (NI) systems theory
to reset systems. We define the reset negative imaginary (RNI) and reset strictly negative …

Practical Implementation of a Reset Controller to Improve Performance of an Industrial Motion Stage

D Caporale, LF van Eijk… - … on Control Systems …, 2024 - ieeexplore.ieee.org
In this work, the proportional Clegg integrator (PCI), a resetting proportional-integrator (PI)
element, is studied with the aim of improving the performance of an industrial motion stage …

Optimal reset law design based on guaranteed cost control method for Lipschitz nonlinear systems

M Shahbazzadeh, SJ Sadati… - International Journal of …, 2022 - Wiley Online Library
This article proposes a systematic approach for optimal reset law design of a class of
nonlinear systems. By using the guaranteed cost control method, sufficient conditions for the …

Generalization of reset controllers to fractional orders

H Paz, D Valério - Mathematics, 2022 - mdpi.com
Reset control is a simple non-linear control technique that can help overcome the structural
limitations of linear control. Fractional control uses the concept of fractional derivatives to …