时变线性切换系统的指数镇定  

Exponential Stabilization of Switched Time-varying Linear Systems

作　　者：王兴平[1] 

机构地区：[1]海军航空工程学院系统科学与数学研究所,烟台264001

出　　处：《自动化学报》2016年第9期1440-1444,共5页Acta Automatica Sinica

摘　　要：研究满足驻留时间条件的时变线性切换系统的指数镇定问题.在一致完全可控条件下,引入带权可控性格拉姆矩阵设计出参数化的反馈控制器,利用比较原理给出状态转移矩阵的超调估计.针对驻留时间已知和未知两种情况,通过选择设计参数消除切换产生的超调影响,建立了两个指数镇定结论.最后以仿真实例验证本文结论.The paper considers the exponential stabilization problem for switched time-varying linear systems with dwell time. Under the uniformly complete controllability condition, parameterized feedback controllers are designed by introducing the weighted controllability Gramian. Furthermore, an estima- tion of overshoots of the state transition matrix is derived using the comparison principle. By choosing the parameters to absorb the resulting overshoots, two exponential stabilization results are given for the cases of known and unknown dwell time. Finally, the effectiveness of the results is illustrated by a numerical example.

关 键 词：时变线性切换系统 驻留时间 超调 状态转移矩阵 指数镇定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]