线性不确定奇异摄动系统的稳定控制鲁棒界  

Robust bounds of stable controllers for linear uncertain singular perturbation systems

作　　者：王宪杰[1] 高存臣[2] 

机构地区：[1]烟台大学数学与信息科学系,山东烟台264005 [2]中国海洋大学数学系,山东青岛266071

出　　处：《控制与决策》2003年第4期487-489,493,共4页Control and Decision

基　　金：国家自然科学基金资助项目 (6 9974 0 32 ) ;山东省自然科学基金资助项目 (Q99G0 6 )

摘　　要：对于具有不确定量的奇异摄动系统 ,利用 L yapunov稳定性理论研究其稳定鲁棒控制问题。在一定条件下得到了任一理想奇异摄动系统的稳定鲁棒控制 ,也是不确定奇异摄动系统具有一定鲁棒界的稳定控制。给出了闭环奇异摄动系统渐近稳定的条件 ,讨论了鲁棒界及其变化范围。By the use of Lyapunov stability theory, the stable robust control problem is studied with constructing Lyapunov function. On definite condition, the stable robust controller of any ideal singular perturbation control system is obtained. At the same time, it is also the stable robust controller of uncertain singular perturbation control system with definite robust bounds. The condition which makes the closed-loop singular perturbation control system asymptotic stable is given. Further, the robust bounds of stable controllers and the change of range about its corresponding parameter are discussed.

关 键 词：奇异摄动系统 稳定鲁棒控制 鲁棒界 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]