模糊分数阶快速终端滑模控制器设计及其在微机电元件混沌控制中的应用
Fuzzy fractional-order fast terminal sliding mode control for some chaotic micro-components
基于整数阶滑模控制算法，本文提出一种新式的分数阶快速终端滑模控制方法，并将其成功应用到两类典型微机电元件的混沌控制之中。为确保所设计算法的有效性，考虑系统中参数不确定性及外界扰动的影响，应用分数阶Lyapunov稳定性理论对控制器的渐进稳定性进行了证明。此外，为了避免控制过程中的颤振问题，应用模糊逻辑算法替代了切换律中传统的符号函数。最终，以微机电元件作为控制对象，对两种控制算法即分数阶算法和整数解算法进行数值仿真分析。结果表明，本文所提出的分数阶控制方法在抑制微机电元件的混沌运动中是有效的。
In this paper, a novel fractional-order fast terminal sliding mode control method, based on an integer-order scheme, is proposed to stabilize the chaotic motion of two typical micro-components. Fractional Lyapunov stability theorem is applied to analytically guarantee the asymptotic stability of the system with uncertainties and external disturbances. To reduce chattering, a fuzzy logic algorithm is designed to replace the traditional signum function in switching law. Finally, numerical simulations with both the fractional-order and integer-order control laws are carried out, respectively. Results show that the proposed control law is effective in the suppression of chaos.
王婧、王炜、张琪昌、韩建鑫
电子元件、电子组件自动化技术、自动化技术设备
混沌控制快速终端滑模分数阶微积分模糊算法
haos controlFast terminal sliding modeFractional calculusFuzzy algorithm
王婧,王炜,张琪昌,韩建鑫.模糊分数阶快速终端滑模控制器设计及其在微机电元件混沌控制中的应用[EB/OL].(2015-11-03)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201511-18.点此复制
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