摘要
在非线性项满足全局Lipschitz条件下,研究了一类不确定时滞关联非线性系统分散鲁棒H∞控制问题。基于Lyapunov泛函及线性矩阵不等式的分析方法,得到了由无记忆状态反馈分散控制器使整个关联系统可镇定且满足给定的H∞性能的充分条件。考虑的不确定时滞关联非线性系统具有时变未知且满足一定匹配条件的不确定参数和状态时滞。获得的鲁棒镇定判据与系统时滞的大小无关。
This paper elaborates on decentralized robust H∞ control for a class of uncertain interconnected nonlinear systems with time delays. The nonlinearities are assumed to satisfy the global Lipschitz conditions. Based on the Lyapunov functional and linear matrix inequality methods, some sufficient conditions are obtained to guarantee the internal stability of the system and the given H∞ performance. The decentralized controllers used are linear and memoryless state feedbacks. The uncertain nonlinear delay interconnected systems under consideration are described by state differential equation with time-varying unknown uncertain parameters satisfying some matching conditions and delayed state. The criteria of robust stabilization are independent on the size of the delays.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2005年第5期846-851,共6页
Journal of Central South University:Science and Technology
基金
国家重点基础研究发展规划项目资助(973项目)(2002CB312200)
关键词
时滞关联系统
H∞控制
线性矩阵不等式
非线性
interconnected systems with time delays
H∞ control
linear matrix inequality
nonlinear
