Design of switching sequences for controllability realization of switched linear systems
Design of switching sequences for controllability realization of switched linear systems
复制标题
DOI：
10.1016/j.automatica.2006.10.010
复制
发表时间：
2007-04
期刊：
影响因子：
--
通讯作者：
Zhijian Ji;Long Wang;Xiaoxia Guo
中科院分区：
文献类型：
--
作者：
Zhijian Ji;Long Wang;Xiaoxia Guo
在本文中，我们研究了开关线性系统可控性的开关序列设计问题。设计的切换序列的每个可控状态集与可控子空间一致。非周期性和周期性切换序列都被考虑。对于非周期性情况，提出了一种构造切换序列的新方法，并且每个设计的切换序列中涉及的切换次数的上限为d(d-d1+1)。这里d是可控子空间的维数，d1=dimΣi=1m<Ai|Bi>，其中(Ai,Bi)是子系统。对于周期性情况，我们表明可以在 d 个切换周期内实现可控子空间。
In this paper, we study the problem of designing switching sequences for controllability of switched linear systems. Each controllable state set of designed switching sequences coincides with the controllable subspace. Both aperiodic and periodic switching sequences are considered. For the aperiodic case, a new approach is proposed to construct switching sequences, and the number of switchings involved in each designed switching sequence is shown to be upper bounded by d(d-d1+1). Here d is the dimension of the controllable subspace, d1=dim∑i=1m〈Ai|Bi〉, where (Ai,Bi) are subsystems. For the periodic case, we show that the controllable subspace can be realized within d switching periods.