一类非仿射受扰混沌系统的自适应模糊控制  

Adaptive fuzzy control for a class of uncertain chaotic systems with nonaffine inputs

作　　者：文杰[1,2] 姜长生[2] 

机构地区：[1]南京航空航天大学理学院,江苏南京211100 [2]南京航空航天大学自动化学院,江苏南京210016

出　　处：《系统工程与电子技术》2010年第12期2664-2668,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(90716028)资助课题

摘　　要：针对一类带非仿射输入的不确定受扰混沌系统,提出了带监督控制项的自适应模糊控制。该方法采用模糊逻辑系统逼近虚拟控制中的未知函数,仅要求逼近误差范数有界。模糊参数采用σ自适应律,并给出参数的有界性证明。构造Lyapunov函数证明闭环系统所有信号一致有界,跟踪误差一致渐进稳定。将Duffing-Holmes系统、Genesio系统和Sprott电路混沌系统作为仿真对象,仿真结果验证了算法的有效性。A robust adaptive fuzzy control scheme（FLS） is presented for a class of chaotic systems with nonaffine inputs,modeling uncertainties and external disturbances.The fuzzy logic system is introduced to estimate the unknown nonlinear functions,the approximation errors of fuzzy systems are only required norm-bounded.The adjustable parameters in FLS are updated using a σ modification adaptive law,the tracking errors are guaranteed to be uniformly asymptotically stable.The overall adaptive scheme guarantees that all signals involved are bounded.Three examples of Duffing-Holmes system,Genesio system and Sprott circuit chaotic system are presented to demonstrate the effectiveness of the proposed design scheme.

关 键 词：非仿射非线性 自适应模糊控制 Duffing-Holmes系统 Genesio系统 Sprott电路混沌系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]