摘要
考虑了一类带有状态时滞和非线性扰动的离散不确定系统的鲁棒状态反馈镇定问题.利用Schur补公式和线性矩阵不等式的方法,给出了闭环系统鲁棒渐近稳定的充分条件.同时还优化了非线性扰动项所应满足的最大上界,此外指出了这一问题可以通过判断一个凸优化问题的可解性来解决.所有结果均以线性矩阵不等式的形式给出.
The state feedback stabilization problem for a class of discrete uncertain system with time-delay and nonlinear perturbations is considered. Using Schur complement formula and linear matrix inequalities method, a sufficient condition guaranteeing the robust asymptotic stability of the closed-loop system is proposed, at the same time, the maximal upper bound on the non-linearity is optimized. In addition, it is pointed out that this problem can be solved by judging the solubility of the convex optimization problem. All the conditions are given within the framework of linear matrix inequalities.
出处
《曲阜师范大学学报（自然科学版）》
CAS
2008年第1期11-16,共6页
Journal of Qufu Normal University(Natural Science)
基金
国家自然科学基金资助项目(60674027)
教育部博士点基金资助项目(20050446001)
中国博士后科学基金资助项目(20070410336)
江苏省博士后科学基金资助项目(0602042B)
曲阜师范大学科研启动基金项目
关键词
不确定时滞系统
状态反馈镇定
线性矩阵不等式
非线性干扰
Uncertain time-delay systems
State feedback stabilization
LMI approach
Nonlinear perturbations
