Robust controllability of interval fractional order linear time invariant systems

被引：107

作者：

Chen, YangQuan ^{[1
]}

Ahn, Hyo-Sung

Xue, Dingyu

机构：

[1] Utah State Univ, Dept Elect & Comp Engn, Ctr Self Organizing & Intelligent Syst, Logan, UT 84322 USA

[2] Northeastern Univ, Fac Informat Sci & Engn, Inst Artificial Intelligence & Robot, Shenyang 110004, Peoples R China

来源：

SIGNAL PROCESSING | 2006年 / 86卷 / 10期

关键词：

fractional order systems; robust controllability; interval linear time invariant systems; interval matrix; linear dependency of interval vectors;

D O I：

10.1016/j.sigpro.2006.02.021

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

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 revisit the controllability problem for the case when there is no interval uncertainty. It turns out that the controllability check for FO-LTI systems amounts to checking the controllability of conventional integer order state space. 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. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：2794 / 2802

页数：9

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