一类混沌系统的自适应控制(英文)  

Adaptive control for a class of chaotic system

作　　者：贺乃宝[1,2] 高倩[1] 姜长生[2] 

机构地区：[1]淮海工学院,江苏连云港222005 [2]南京航空航天大学自动化学院,江苏南京210016

出　　处：《计算机与应用化学》2011年第7期836-838,共3页Computers and Applied Chemistry

基　　金：国家自然科学基金资助项目(90716028)(60974106)

摘　　要：本文借助于功能函数研究了一类混沌系统的跟踪控制问题.首先,通过坐标变换将Chua's混沌系统转换为一种严格反馈控制系统的通用形式.其次,结合自适应鲁棒控制技术和Backstepping方法设计了参数自适应控制律,对存在的不确定性和未知干扰的非线性系统实现了输出跟踪控制.基于Lyapunov稳定性理论对每一步的虚拟控制进行分步设计,得到的控制器不仅使系统输出跟踪给定的期望输出,而且使得系统对于所允许的不确定系统状态全局一致有界.最后,严格地理论证明表示了所设计方法的有效性。In this paper, an approach for a class of chaotic system is proposed using adaptive backstepping with tuning functions. Firstly, based on coordinate transform, the paper deduced the principle with which Chua＇s chaotic system can be translated into the so-called general strict-feedback form. Secondly, an adaptive parameter control law combining robust control technology with the backstepping method is developed and thus the output tracking is successfully accomplished for the system with unknown parameters and dynamic uncertainties. It is proved that the derived robust adaptive controller based on Lyapunov stability theory can guarantee that all states of the closed-loop system are globally uniformly ultimately bounded, and lead the system tracking error to a small neighborhood. Finally the results are provided to show the effectiveness of the proposed approach.

关 键 词：Chua’s混沌系统 BACKSTEPPING方法 自适应控制 跟踪控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]