Chaos synchronization control for stochastic nonlinear systems of interior PMSMs based on fixed-time stability theorem

Zilong Tan, Yang Liu, Jiayue Sun, Huaguang Zhang and Xiangpeng Xie

Applied Mathematics and Computation, 2022, vol. 430, issue C

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.

Keywords: Chaos synchronization; Fixed-time stability; Stochastic noise; PMSMs; Adaptive control (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:430:y:2022:i:c:s0096300322001990

DOI: 10.1016/j.amc.2022.127115

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