测试技术学报Issue(3):185-193,9.DOI:10.3969/j.issn.1671-7449.2014.03.001
一类具有范数有界不确定性的非线性时滞系统的控制
Nonlinear H ∞ Control for a Class of Uncertain Systems with Time-Delay and Norm Bounded
摘要
Abstract
This paper concerns the control of the robust stability and control of a nonlinear system with a time-varying delay and H∞ norm bounded uncertainties .The robustly quadratic stability sufficient conditions and the design of controllers for the systems are discussed by using Lyapunov function ,linear matrix inequali-ty (LMI) incorporate with free weighting matrices .Furthermore ,a convex optimization problems with LMIs constraints is formulated ,such that the optimal state feedback H∞ control for uncertain systems with time-de-lay can be determined .The validity of the proposed method was demonstrated by numerical examples .关键词
Lyapunov 泛函/线性矩阵不等式/不确定时滞系统/时滞相关Key words
Lyapunov function/LM Is/time-delay uncertain system/delay-dependent分类
数理科学引用本文复制引用
刘碧玉,冯良文,胡顺新,颜爱民,王晓丽,刘建刚..一类具有范数有界不确定性的非线性时滞系统的控制[J].测试技术学报,2014,(3):185-193,9.基金项目
2013国家自然科学基金资助项目(71372062);2013湖南省社科重大课程资助项目(13WTA19);2013国家自然科学基金资助项目 ()