摘要
研究了满足局部Lipschitz条件的非线性系统非均匀采样模糊状态反馈控制问题。通过定义一个和采样时刻相关的Lyapunov函数,结合凸组合技术,得到了保证系统渐近稳定的充分性判据,并给出了相应的状态反馈控制器设计方法。以线性矩阵不等式形式给出的设计条件易于检验,与现有的方法相比,设计过程简单易行。算例验证了本文所得结果的有效性。
The nonuniform sampling fuzzy state feedback control for a class of nonlinear systems satisfying the locally Lipschitz condition was studied. By defining a Lyapunov function dependent on sampling time and using a convex combination technique,a sufficient criterion for guaranteeing stability of the system was obtained. The method for designing sampling fuzzy state feedback controllers was proposed. The designing conditions based on linear matrix inequalities was easily checked. Compared with the existing methods,the new design method was simpler and easier to implement. Finally,a numerical example was given to illustrate the effectiveness of the proposed results.
出处
《河南科技大学学报（自然科学版）》
CAS
北大核心
2016年第4期50-55,6,共6页
Journal of Henan University of Science And Technology:Natural Science
基金
国家自然科学基金项目(61174085
61374063)
河南省教育厅科技攻关基金项目(14A520017
14A520059)
关键词
T-S模糊系统
采样控制
状态反馈
线性矩阵不等式
T-S fuzzy systems
sampled-data control
state feedback
linear matrix inequalities
