参数未知的连续混沌系统的自适应追踪控制与参数辨识  

Identification and Adaptive Tracking Control for Continuous Chaotic System with Unknown Parameters

作　　者：张芳芳[1] 刘树堂[1] 余卫勇[1] 

机构地区：[1]山东大学控制科学与工程学院,山东济南250061

出　　处：《控制工程期刊（中英文版）》2013年第4期261-270,共10页Scientific Journal of Control Engineering

基　　金：受国家自然科学基金项目（批准号：61273088,10971120,61001099）和山东省自然科学基金项目（批准号：ZR2010FM010）支持资助.

摘　　要：针对参数未知的连续混沌系统，结合速度梯度法和非线性函数控制，设计了自适应追踪控制器和参数自适应控制律，实现了将混沌系统控制到任意给定的光滑目标，证明了其渐近稳定性，并给出了参数辨识的条件。该方法原理简单，适用范围宽，能推广到广义投影同步和其他非线性系统；收敛速度快，通用性强，抗干扰性好。以Lorenz混沌系统为例进行数值仿真，结果验证了该方法的有效性。In this paper, an adaptive tracking control scheme and parameter adaptive laws have been introduced for continuous chaotic systems with unknown parameters using nonlinear feedback and speed-gradient algorithm, and further the controlled chaotic system has the capability to track any arbitrary given smooth reference signal. The asymptotic stability is confirmed and the condition of identifying unknown parameters is given. The schemes are characterized by simplicity, wide application and have the extension to generalized projective synchronization and other nonlinear systems, as well as rapid convergence speed and desirable anti-interference performance have been validated by means of the results of numerical simulation on Lorenz as an example.

关 键 词：混沌系统 速度梯度法 追踪控制 参数辨识 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]