一类非线性机电换能器混沌系统的最优控制  

Optimum Control for A Nonlinear Electromechanical Transducer Chaotic System

作　　者：苏敏 雷腾飞 黄丽丽 付海燕 曹凤 

机构地区：[1]齐鲁理工学院电气信息工程学院,山东济南250200

出　　处：《邵阳学院学报（自然科学版）》2017年第6期54-61,共8页Journal of Shaoyang University：Natural Science Edition

基　　金：山东省自然科学基金(ZR2017PA008);齐鲁理工学院科技计划项目(07qlk009)

摘　　要：针对一类自激非线性机电换能器混沌系统,首先,采用分岔图、Lyapunov指数谱图与复杂度分析了系统的混沌基本动力学行为;其次,基于的最优控制理论,找出了系统的HJB微分方程,可随意跟踪目标函数;最后,通过MATLAB软件对最优控制器进行了相关的仿真,仿真结果表明设计的最优控制器比传统的控制器具有更强的快速响应能力且在工程中易实现。In this paper,a class of self-excited nonlinear electromechanical transducer chaotic system was proposed.Firstly,the chaotic basic dynamics behavior of the system was analyzed by using bifurcation diagram,Lyapunov exponent spectrum and complexity.Secondly,based on the optimal control theory,the HJB differential equation of the system was found,and the target function could be tracked at random.Finally,the optimal controller was simulated by MATLAB software,the simulation results show that the optimal controller has more rapid response ability than the traditional controller and is easy to implement in the project.

关 键 词：机电换能器 混沌 LYAPUNOV指数 最优控制 

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]