Robust Stability and Stabilization of LTI Fractional Order Systems with Poly topic and Interval Uncertainties

被引：0
|
作者：
Abooee, Ali [1 ]
Adelipour, Saeed [2 ]
Haeri, Mohammad [2 ]
机构：
[1] Yazd Univ, Fac Engn, Dept Elect Engn, Yazd, Iran
[2] Sharif Univ Technol, Dept Elect Engn, Adv Control Syst Lab, Tehran, Iran
来源：
2017 25TH IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE) | 2017年
关键词：
LTI fractional order system; Poly topic uncertainty; Interval uncertainty; Stability checking; Robust stabilizing controller; Linear matrix inequality; ALPHA;
D O I：
暂无
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：
This paper proposes a novel representation of uncertain LTI fractional order systems based on the state-space model which contains both interval and poly topic uncertainties. First, a set of linear matrix inequalities, which are sufficient conditions, are presented for analyzing the robust stability of the mentioned systems. Then, some sufficient conditions are obtained for designing a feedback gain matrix to tackle the robust stabilization of the considered systems. Note that the concluded conditions of this paper are valid for fractional systems with a given constant derivative order a in 1 <= alpha < 2 and also, can be employed conservatively for alpha in 0 < alpha < 1. Finally, through two numerical illustrative examples, the effectiveness and correctness of the given sufficient conditions are verified.
引用
收藏
页码：2253 / 2258
页数：6
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