不确定时滞广义双线性系统的鲁棒镇定  

Robust Stabilization of Uncertain Time-delay Singular Bilinear Systems

作　　者：张秀华[1] 王娟[1] 刘少廷[1] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110004

出　　处：《控制工程》2010年第5期584-586,共3页Control Engineering of China

基　　金：辽宁省科技厅自然科学基金资助项目(2052022)

摘　　要：针对不确定参数是时变但满足匹配条件的时滞广义双线性系统的鲁棒控制问题进行了研究,设计状态反馈鲁棒控制器,使得所有满足条件的不确定时滞广义双线性系统鲁棒稳定。基于Lyapunov稳定性理论,采用线性矩阵不等式方法,提出了不确定时滞广义双线性系统鲁棒镇定的充分条件,并给出了使得闭环系统鲁棒镇定的状态反馈控制器设计方法。定理解决了介于非线性和线性之间的不确定时滞广义双线性系统的有关理论。仿真实例说明了定理的有效性和合理性。The problem of robust control for uncertain time-delay singular bilinear systems（SBS） is studied.The uncertainties are varied with the time and go with the matching condition.The state feedback robust controller is designed to make the closed-loop system robust stable for all admissible uncertainties.Based on the Lyapunov stable theory,the sufficient condition of stabilization for SBS with uncertainty and time-delay is presented by using the method of linear matrix inequality.The design method of state feedback controller which makes the closed-loop system stable is presented.The related theory for SBS with uncertain time-delay lying between nonlinearity and linearity is obtained.The numerical example shows the effectiveness and rationality of the design method.

关 键 词：时滞 不确定性 广义双线性系统 鲁棒镇定 线性矩阵不等式 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]