Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 53, Issue 11, Pages 7008-7020Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2022.3173293
Keywords
Lyapunov methods; Upper bound; Perturbation methods; Mathematical models; Magnetic shielding; Feedback control; Autonomous systems; Finite-time stability; fractional exponential feedback control (FEFC); robust FEFC (RFEFC); spin-exchange relaxation-free comagnetometer (SERFCM)
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This article proposes a series of control strategies for ensuring the ultrastable measurement of the spin-exchange relaxation-free comagnetometer system, including finite-time fractional exponential feedback control and finite-time robust FEFC.
This article is the first work to propose a series of control strategies for the longitudinal electron spin polarization of the spin-exchange relaxation-free comagnetometer system to ensure its ultrastable measurement. Two types of finite-time control strategies are presented for a nonlinear system with affine input. The first control strategy is finite-time fractional exponential feedback control (FEFC), which ensures that the trajectories of an autonomous system converge to an equilibrium state in a finite time that can be specified. The second control strategy is finite-time robust FEFC, which provides a finite-time stability of a nonautonomous system with unknown structures under disturbance and perturbations, and its upper bound of the settling time can be estimated. The theoretical results are supported by numerical simulations.
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