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

页码：2253 / 2258

页数：6

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