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.
出处
《自动化学报》
EI
CSCD
北大核心
2016年第9期1440-1444,共5页
Acta Automatica Sinica
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
Switched time-varying linear systems, dwell time, overshoot, state transition matrix, exponential stabilization
