非线性多时滞系统的直接自适应模糊控制  

DIRECT ADAPTIVE FUZZY CONTROL FOR NONLINEAR SYSTEMS WITH MULTIPLE TIME DELAYS

作　　者：曲子芳[1] 杜贞斌[2] 朱翼隽[3] 

机构地区：[1]山东工商学院数学与信息科学学院,山东264005 [2]烟台大学计算机学院,山东264005 [3]江苏大学理学院,江苏212013

出　　处：《系统科学与数学》2011年第12期1585-1591,共7页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金资助课题(70571030)

摘　　要：针对一类单输入单输出非线性多时滞系统,提出了一种自适应模糊跟踪控制方案.该方案结合了自适应控制和H_∞控制.构建了自适应时滞模糊逻辑系统用来逼近未知时滞函数;设计了H_∞补偿器来抵消模糊逼近误差和外部扰动.根据跟踪误差给出了参数调节规律.证明了误差闭环系统满足期望的H_∞跟踪性能.仿真结果表明了该方案的有效性.A direct adaptive fuzzy tracking control scheme is proposed for a class of SISO nonlinear systems with multiple time delays.The control scheme combines adaptive control with H_∞control.Adaptive fuzzy logic systems with time delays are constructed to approximate the unknown functions with time delays.An H_∞compensator is designed to eliminate fuzzy approximation errors and external disturbances.The adaptive laws of the parameters are derived by the tracking error.It is proved that the error closed-loop system satisfies the expected H_∞tracking performance.The effectiveness of the proposed control scheme is demonstrated by a simulation example.

关 键 词：非线性系统 单输入单输出 时滞 模糊逻辑系统 跟踪控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]