Solution bounds of a new complex PMSM system

This paper has investigated the boundedness of solutions of a complex permanent magnet synchronous motor system. We have obtained the globally exponentially attractive set Ψ λ , m and the ultimate bound Ω λ , m for this system. Furthermore, we can conclude that the rate of the trajectories of the sy...

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Bibliographic Details
Published in:Nonlinear dynamics 2013-12, Vol.74 (4), p.1041-1051
Main Authors: Zhang, Fuchen, Mu, Chunlai, Wang, Xingyuan, Ahmed, Iftikhar, Shu, Yonglu
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Computer simulation
Control
Dynamical Systems
Engineering
Estimates
Exteriors
Mathematical models
Mechanical Engineering
Nonlinear dynamics
Original Paper
Permanent magnets
Synchronous motors
Trajectories
Trajectory analysis
Vibration
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Summary:This paper has investigated the boundedness of solutions of a complex permanent magnet synchronous motor system. We have obtained the globally exponentially attractive set Ψ λ , m and the ultimate bound Ω λ , m for this system. Furthermore, we can conclude that the rate of the trajectories of the system going from the exterior of the set Ψ λ , m to the interior of the set Ψ λ , m is exponential. The estimate of the trajectories rate is also obtained. Numerical simulations are presented to show the effectiveness of the proposed scheme.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-013-1022-5