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A sliding mode variable structure controller for chaotic control in the permanent magnet synchronous motor (PMSM) is presented in this paper. The controller is deduced based on the Lyapunov function theory and the function switch control strategy. The angle speed of the PMSM can be flexibly adjusted according to the engineering requirement by the(More)
When system parameters falling into a certain area, the permanent magnet synchronous motor (PMSM) is experiencing chaotic behavior, which threatens the secure and stable operation of drive system. To control the undesirable chaos in PMSM, a new controller is proposed based on tridiagonal structure matrix stability theory. The proposed controller has some(More)
In this paper, the chaotic dynamics of a three-dimensional fractional-order chaotic system is investigated. The lowest order for exhibiting chaos in the fractional-order system is obtained. Adaptive schemes are proposed for control and synchronization of the fractional-order chaotic system based on the stability theory of fractional-order dynamic systems.(More)
Based on the Lyapunov stability theory, general nonlinear controllers and parameter identifiers are designed to achieve generalized synchronization and parameter identification of chaotic or hyperchaotic systems. The proposed synchronization scheme is robust to the external disturbances. Numerical simulations results are presented to demonstrate the(More)
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