Switching law design for finite-time stability of singular fractional-order systems with delay

被引：14
|
作者：
Thanh, Nguyen T. [1 ]
Vu Ngoc Phat [2 ]
机构：
[1] Univ Min & Geol, Dept Math, Hanoi, Vietnam
[2] VAST, Inst Math, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam
来源：
IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 09期
关键词：
linear systems; Lyapunov methods; stability; linear matrix inequalities; asymptotic stability; time-varying systems; Laplace transforms; control system synthesis; delays; law design; finite-time stability; singular fractional-order systems; inf-sup method; constructive geometric design; switching laws; stability state regions; delay-dependent sufficient conditions; H-INFINITY CONTROL; DISCRETE; STABILIZATION; THEOREM;
D O I：
10.1049/iet-cta.2018.5556
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this study, the authors present an analytical approach based on the Laplace transform and 'inf-sup' method for studying the finite-time stability of singular fractional-order switched systems with delay. A constructive geometric design for switching laws based on the construction of a partition of the stability state regions in convex cones is proposed. Using the proposed method, new delay-dependent sufficient conditions for regularity, impulse-free and finite-time stability of the system are developed in terms of tractable matrix inequalities and Mittag-Leffler functions. An example is provided to illustrate the effectiveness of the proposed method.
引用
收藏
页码：1367 / 1373
页数：7
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