具头胞型不确定性时滞系统的鲁棒控制  

Robust Control for Time-Delay Systems with Polytopic Uncertainties

作　　者：陆俊玮[1,2] 郭爱琴[1] 郭怡倩[1] 赵环宇[2] 徐胜元[2] 

机构地区：[1]南京师范大学电气与自动化工程学院,江苏南京210042 [2]南京理工大学自动化学院,江苏南京210094

出　　处：《江南大学学报（自然科学版）》2009年第3期296-299,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：教育部科技发展中心项目(20060288021)

摘　　要：探讨了一类带有头胞型不确定性非线性时滞系统的鲁棒镇定问题,利用参数相关的Lyapunov泛函,设计了状态反馈控制律使闭环系统鲁棒稳定。以线性矩阵不等式形式给出主要结果,所期望的状态反馈控制律可通过求解给定的线性矩阵不等式得到。所得结论是时滞相关的,保守性相对较小。The paper investigates the problem of robust stabilization for a class of nonlinear time-delay systems with polytopic uncertainties. Based on a parameter-dependent Lyapunov functional, state feedback controllers are designed such that the closed-loop system is robustly asymptotically stable for all admissible uncertainties. The main results were presented by linear matrix inequality. A desired state feedback controller can be constructed by solving a set of linear matrix inequalities. The conservatism is smaller because the result is delay-dependent.

关 键 词：头胞型不确定性 线性矩阵不等式 时滞系统 非线性系统 鲁棒镇定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]