时变时滞不确定控制系统二次镇定研究  

Quadratic stabilization of uncertain control systems with time-varying delays

作　　者：刘继清[1] 黄金花[1] 

机构地区：[1]武汉船舶职业技术学院电子电气工程系,湖北武汉430050

出　　处：《华中科技大学学报（自然科学版）》2011年第4期94-96,105,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60974012)

摘　　要：研究了一类时变时滞不确定控制系统的鲁棒镇定性.该系统的不确定参数是时变未知但范数有界的.利用线性矩阵不等式和二次李雅普诺夫-克拉索夫斯基泛函,获得了具有任意有界时变时滞控制系统稳定的一些充分条件,并设计了状态反馈控制器,使相应闭环系统是鲁棒稳定的.最后,通过一个数值算例说明了所获得结果的有效性.The stabilization of a class of uncertain control systems with time-varying delays was studied. Such an uncertain control system with time-varying delays was described by time-varying unknown-but-bounded uncertain parameters. By using the linear matrix inequalities and the quadratic Lyapunov-Krasovskii functional, some stability criterions were derived to ensure that the system was stable. Based on these criterions, the problem was solved via state feedback controller, guaranteeing the resultant closed-loop system was robustly stable. Finally, a numerical example was given to illustrate the validity of the results

关 键 词：不确定参数 时滞控制系统 李雅普诺夫稳定性 线性矩阵不等式 状态反馈 镇定 

分 类 号：TP271.9[自动化与计算机技术—检测技术与自动化装置]