不确定性混沌系统的鲁棒自适应动态面控制  

Robust adaptive dynamic surface control of uncertain chaotic systems

作　　者：李钟慎[1] 傅桂元 魏剑林[1] 

机构地区：[1]华侨大学机电及自动化学院,厦门361021 [2]西南电力设计院,成都610021

出　　处：《东南大学学报（自然科学版）》2010年第S1期206-209,共4页Journal of Southeast University：Natural Science Edition

基　　金：福建省自然科学基金资助项目(E0710018)

摘　　要：针对一类不确定性混沌系统,提出了一种基于动态面控制的混沌自适应鲁棒控制方法.以Rssler不确定性混沌系统为例,给出了控制器的详细设计步骤:首先通过定义误差面,得出动态面误差;然后,引入虚拟控制量,给出未知系统参数的自适应更新律;最后,在每一步设计中加入一阶低通滤波器,构造出自适应鲁棒控制器,并通过适当选取设计参数的值,使系统的输出误差尽量小.数值仿真结果表明,在控制器的作用下,被控Rssler不确定性混沌系统的输出能迅速跟踪到期望值,跟踪误差小,且系统参数的估计值也逐渐趋于真实值.动态面控制方法避免了对引入的虚拟控制量的微分运算,有效克服了传统Backstepping法存在的问题,使设计的控制器更为简单、易行.Aiming at a type of uncertain chaotic system,an adaptive robust control method based on dynamic surface control ( DSC) is presented. The uncertain Rssler chaotic system is taken as an example,and the specific design procedure of the controller is given. First,by defining the error states, the dynamic surface errors are obtained. Then the virtual controlled variables are introduced,and the adaptive update laws of the unknown system parameters are also given. Finally,after adding a lowpass filter at every step,the adaptive robust controller is constructed. By properly choosing the value of design parameters,the obtained system output error is small. The numerical simulation results indicate that the output of the uncertain Rssler chaotic system can quickly approach the desired orbit with small error bound,and the estimated values of the system approach to the real values. The differential of virtual controlled variables can be avoided by using the dynamic surface control method, which can effectively overcome the problems in the traditional Backstepping method and makes the design of the controller simple and easy.

关 键 词：不确定性混沌系统 动态面控制 自适应控制 鲁棒性 

分 类 号：O415.5[理学—理论物理]