非线性关联不确定变时滞系统的鲁棒绝对稳定控制  

Robust Absolute Stabilization for Uncertain Nonlinear Interconnection Systems with Time-varying Delays

作　　者：金杰[1] 邵诚[2] 

机构地区：[1]山东工商学院信息与电子工程学院,山东烟台264005 [2]大连理工大学先进控制技术研究所,辽宁大连116024

出　　处：《信息与控制》2007年第6期671-677,共7页Information and Control

基　　金：国家科技攻关计划资助项目(2001BA204B01);辽宁省重点实验室基金资助项目

摘　　要：采用积分不等式,研究了一类具有状态和输入变时滞的非线性关联不确定系统的鲁棒综合问题.基于线性矩阵不等式(LMI)分别导出了具有扇形角约束和范数有界约束的两类非线性关联不确定系统的线性无记忆状态反馈控制律设计方法,该方法不要求系统的两输入项对系统完全可控.数值实例说明了本文方法的有效性.The problem of robustly and absolutely stable control for uncertain nonlinear interconnection systems with state and input-time-varying delay is studied in terms of integral inequality. Linear memoryless state-feedback control law is derived for two classes of uncertain nonlinear interconnection systems with sector restriction or normbounded restriction based on Linear Matrix Inequality （LMI）. This method doesn＇t require that two input terms are absolutely controllable for nonlinear delay systems. Numerical examples are used to demonstrate the validity of the proposed method.

关 键 词：输入时滞 非线性关联 状态反馈 线性矩阵不等式(LMI) 

分 类 号：P13[天文地球—天体力学]