1. Chaos synchronization control for stochastic nonlinear systems of interior PMSMs based on fixed-time stability theorem.
- Author
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Tan, Zilong, liu, Yang, Sun, Jiayue, Zhang, Huaguang, and Xie, Xiangpeng
- Subjects
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CHAOS synchronization , *NONLINEAR systems , *STOCHASTIC systems , *PERMANENT magnet motors , *STOCHASTIC convergence , *DYNAMICAL systems - Abstract
This paper proposes an enhanced chaos synchronization control scheme of stochastic nonlinear systems for the permanent magnet synchronous motors(PMSMs) applications for dynamic operating mechanism under different working environment. Firstly, a novel fixed-time stochastic stability theorem and convergence for the stochastic nonlinear system is valid through formulating a novel Lyapunov function. Different from what has been achieved on the fixed-time stability, it's not the usual range but it's more precise for settling time which improving control performance effectually. Secondly, the chaos synchronization issue of driven-response PMSMs with stochastic noise is firstly investigated based on the proposed Lyapunov theorem synchronizing the complex dynamic systems considering practical significance. Finally, the fixed-time synchronization control scheme is developed via applying the adaptive algorithms, furthermore, through constructing a reasonable synchronization dynamic error system achieving stability in probability of fixed time. A simulation analysis is demonstrated to verify the availability of the proposed control strategy. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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