Several recent developments in fractional calculus have led to an increased interest in fractional-ordered modeling of physical systems. In this paper, complex dynamics of a flexible satellite in the fractional setting are proposed and investigated for the first time in the literature. The dynamic equations are derived using generalised fractional-order Euler-Lagrange equation, in which a strong coupling exists between the motions of the rigid body and the vibrations of its appendages. Thanks to the longterm memory effects of the nonlocal fractional derivatives, the developed fractional-order model of the satellite provides a way to compensate for the unpredictable space environment by adding a further degree of freedom. For attitude control, a feedback linearization method is proposed based on the approximated fractional-order chain rule to linearize the system in the presence of actuator faults. To investigate the effectiveness of the proposed fractional order scheme in tracking the reference signal and damping the appendage vibrations in presence of known faults affecting the actuator reasonably, a variety of nonlinear simulations in fractional and integer settings are performed.

Design of passive fault-tolerant attitude controller for a fractional order flexible satellite model

Simani, S
Ultimo
Writing – Review & Editing
2022

Abstract

Several recent developments in fractional calculus have led to an increased interest in fractional-ordered modeling of physical systems. In this paper, complex dynamics of a flexible satellite in the fractional setting are proposed and investigated for the first time in the literature. The dynamic equations are derived using generalised fractional-order Euler-Lagrange equation, in which a strong coupling exists between the motions of the rigid body and the vibrations of its appendages. Thanks to the longterm memory effects of the nonlocal fractional derivatives, the developed fractional-order model of the satellite provides a way to compensate for the unpredictable space environment by adding a further degree of freedom. For attitude control, a feedback linearization method is proposed based on the approximated fractional-order chain rule to linearize the system in the presence of actuator faults. To investigate the effectiveness of the proposed fractional order scheme in tracking the reference signal and damping the appendage vibrations in presence of known faults affecting the actuator reasonably, a variety of nonlinear simulations in fractional and integer settings are performed.
2022
978-1-6654-1076-2
978-1-6654-1077-9
978-1-6654-1075-5
Fractional order systems, feedback linearization, flexible satellite, fractional Euler-Lagrange equations, Caputo derivative
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2501161
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