非线性机电换能器混沌系统的分数阶控制及其电路仿真  

Fractional Order Control and Circuit Simulation for Nonlinear Electromechanical Transducer Chaotic System

作　　者：王献锋[1] 王震[1] 张善文[1] 惠小健[1] 

机构地区：[1]西京学院应用理学系,陕西西安710123

出　　处：《华侨大学学报（自然科学版）》2016年第6期762-765,共4页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(61473237);陕西省自然科学基础研究计划项目(2016JM1024);陕西省教育厅科研计划项目(15JK2181);西京学院科研基金资助项目(XJ130244)

摘　　要：通过数值分析计算一类自激机电换能器耦合系统的分叉、最大Lyapunov指数等混沌特性,并运用分数阶稳定性理论及Gershgorin圆定理证明并构造两个反馈控制器.采用所提方法,运用Multisim软件对机电控制系统进行电路实验仿真验证.实验结果表明:所设计的分数阶控制器对机电换能器的混沌控制是有效的,同时,电路设计具有可行性和可实现性.The chaos feature of the bifurcation and the largest Lyapunov exponent for a self-sustained electromechanical transducer coupled system are obtained by numerical analysis in this paper.According to the theories of fractional order calculus and the Gershgorin cycle theorem,two fractional order feedback controllers of this system are designed.The circuit implementation is simulated using Multisim for electromechanical control system by the proposed methods.And the simulation results demonstrate the effectiveness of the proposed fractional order controller for the chaos control of electromechanical transducer.Meanwhile,the circuit design is feasible and can be realized.

关 键 词：机电换能器 分数阶控制器 Vanderpol-Duffing振子 混沌控制 电路仿真 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TM346[自动化与计算机技术—控制科学与工程]