不确定非线性系统的二次稳定新方法  

A new approach to quadratic stability for uncertain nonlinear systems

作　　者：杜贞斌[1] 陈为胜[2] 宋宜斌[1] 王培进[1] 

机构地区：[1]烟台大学计算机学院,烟台264005 [2]西安电子科技大学应用数学系,西安710071

出　　处：《系统工程理论与实践》2011年第9期1784-1789,共6页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(60974028;61175086);山东省自然科学基金(ZR2011FQ037)

摘　　要：针对一类不确定非线性系统,采用模糊技术,提出了一种新的二次稳定控制方案.应用模糊T-S模型和模糊逻辑系统对非线性系统建模,所设计的模糊控制器使得闭环系统二次稳定并满足期望的L_2范数界.该方案的主要优点是不对逼近误差和不确定性做约束假设.仿真结果表明了该方案的可行性.This paper addresses the problem of quadratic stability for a class of uncertain nonlinear systems using fuzzy technique.Fuzzy T-S model and fuzzy logic systems are used to model the nonlinear systems. The fuzzy controller is designed such that the closed-loop system is quadratically stable and satisfies the desired L_2norm bound.The main advantage is that the designer makes no constraint assumption for the approximating error arisen from fuzzy T-S model and the uncertainties in nonlinear systems.Simulation results demonstrate the effectiveness of the developed control scheme.

关 键 词：模糊T-S模型 模糊逻辑系统 非线性系统 不确定性 二次稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]