Direct adaptive fuzzy control based on integral-type Lyapunov function  

基于积分型李亚普诺夫函数的直接自适应模糊控制(英文)

作　　者：张天平[1] 朱清[1] 张惠艳[1] 顾海军[1] 

机构地区：[1]扬州大学信息工程学院计算机系,扬州225009

出　　处：《Journal of Southeast University(English Edition)》2003年第1期92-97,共6页东南大学学报（英文版）

基　　金：The National Natural Science Foundation of PRC (60074013) ; the Natural Science Foundation of Education Bureau of Jiangsu Province (00KJB510006 & 00KJB470006).

摘　　要：A new scheme of direct adaptive fuzzy controller for a class of nonlinear systems with unknown triangular control gain structure is proposed. The design is based on the principle of sliding mode control and the approximation capability of the first type fuzzy systems. By introducing integral-type Lyapunov function and adopting the adaptive compensation term of optimal approximation error, the closed-loop control system is proved to be globally stable, with tracking error converging to zero. Simulation results demonstrate the effectiveness of the approach.针对一类具有未知下三角形函数控制增益矩阵的非线性系统,根据滑模控制原理,并利用I型模糊系统的逼近能力,提出了一种直接自适应模糊控制器设计的新方案.通过引入积分型李亚普诺夫函数及逼近误差自适应补偿项,证明了闭环系统是全局稳定的,跟踪误差收敛到零.仿真结果表明了该方法的有效性.

关 键 词：fuzzy systems fuzzy control adaptive control global stability 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]