Robust controllability of interval fractional order linear time invariant systems

被引：0
|
作者：
Chen, YangQuan [1 ]
Ahn, Hyo-Sung [1 ]
Xue, Dingyu [1 ]
机构：
[1] Utah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USA
来源：
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 6, PTS A-C | 2005年
关键词：
fractional order systems; robust controllability; interval linear time invariant systems; interval matrix; linear dependency of interval vectors;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients. Our focus is on the robust controllability issue for interval FO-LTI systems in state-space form. We re-visited the controllability problem for the case when there is no interval uncertainty. It turns out that the stability check for FO-LTI systems amounts to checking the conventional integer order state space using the same state matrix A and the input coupling matrix B. Based on this fact, we further show that, for interval FO-LTI systems, the key is to check the linear dependency of a set of interval vectors. Illustrative examples are presented.
引用
收藏
页码：1537 / 1545
页数：9
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