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

页码：1367 / 1373

页数：7

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