Modelling and initialization of fractional order nonlinear systems: the infinite state approach

In this paper, we generalize the infinite state representation to the modeling of fractional order nonlinear differential systems. This technique is based on the infinite dimension modal model of the fractional integrator whose internal frequency distributed state defines the nonlinear fractional di...

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Main Authors: Maamri, N., Trigeassou, J.C.
Format: Conference Proceeding
Language:English
Subjects:
Behavioral sciences
Control systems
frequency distributed state variable
infinite state representation
initialization
Lyapunov stability
modal model of the fractional integrator
nonlinear FDS
Nonlinear systems
Numerical models
Numerical simulation
Numerical stability
Stability analysis
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Trigeassou, J.C.
description In this paper, we generalize the infinite state representation to the modeling of fractional order nonlinear differential systems. This technique is based on the infinite dimension modal model of the fractional integrator whose internal frequency distributed state defines the nonlinear fractional differential systems (FDS) state. Thanks to numerical simulations, we demonstrate that system dynamical behaviors are dependant on infinite dimension distributed initial conditions. Moreover, we show that these initial conditions have a direct consequence on system stability.
doi_str_mv 10.1109/ICSC57768.2022.9993954
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source IEEE Xplore All Conference Series
subjects Behavioral sciences
Control systems
frequency distributed state variable
infinite state representation
initialization
Lyapunov stability
modal model of the fractional integrator
nonlinear FDS
Nonlinear systems
Numerical models
Numerical simulation
Numerical stability
Stability analysis
title Modelling and initialization of fractional order nonlinear systems: the infinite state approach
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