Journal
MATHEMATICS
Volume 11, Issue 14, Pages -Publisher
MDPI
DOI: 10.3390/math11143182
Keywords
permanent magnet synchronous motor; chaotic stabilization; fixed-time control; adaptive control
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This article proposes an adaptive control strategy for achieving fixed-time chaotic stabilization of PMSM, even in the presence of unknown parameters and perturbations. The developed controller combines a parametric adaptive mechanism with a fixed-time control technique, and the stability analysis demonstrates its effectiveness.
It is well known that the permanent magnet synchronous motor (PMSM) exhibits chaotic characteristics when its parameters fall within a certain range, which can lead to system instability. This article proposes an adaptive control strategy for achieving the fixed-time chaotic stabilization of PMSM, even in the presence of unknown parameters and perturbations. The developed controller is synthesized by combining a parametric adaptive mechanism with a fixed-time control technique. The stability analysis demonstrates that the system states under the developed controller can converge to small neighborhoods around the equilibrium point within a fixed time. Thanks to the adoption of the parametric adaptive mechanism, the developed controller is not only insensitive to unknown parameters but also robust against perturbations. Finally, simulated studies are conducted to verify and emphasize the effectiveness of the developed control strategy.
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