Sampled-data-based stabilization of switched linear neutral systems

被引：143

作者：

Fu, Jun ^{[1
]}

Li, Tai-Fang ^{[2
]}

Chai, Tianyou ^{[1
]}

Su, Chun-Yi ^{[3
]}

机构：

[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110189, Liaoning, Peoples R China

[2] Bohai Univ, Coll Engn, Finzhou 121013, Peoples R China

[3] Concordia Univ, Dept Mech Engn, Montreal, PQ H3H 1M8, Canada

来源：

AUTOMATICA | 2016年 / 72卷

关键词：

Sampled-data control; Switched neutral systems; Asynchronous switching; Stabilization; H-INFINITY CONTROL; EXPONENTIAL STABILITY ANALYSIS; TIME-DELAY SYSTEMS; NONLINEAR PERTURBATIONS; LYAPUNOV FUNCTIONS; MIXED DELAYS; DWELL-TIME; FEEDBACK; INPUT; L-2-GAIN;

D O I：

10.1016/j.automatica.2016.05.020

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

With the development of digital control technology, sampled-data control shows its prominent superiority for most practical industries. In the framework of sampled-data control, this paper studies the stabilization problem for a class of switched linear neutral systems meanwhile taking into account asynchronous switching. By utilizing the relationship between the sampling period and the dwell time of switched neutral systems, a bond between the sampling period and the average dwell time is revealed to form a switching condition, under which and certain control gains conditions exponential stability of the closed-loop systems is guaranteed. A simple example is given to demonstrate the effectiveness of the proposed method. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：92 / 99

页数：8

共 40 条

[1]

[Anonymous], 1995, OPTIMAL SAMPLED DATA, DOI DOI 10.1007/978-1-4471-3037-6

[2] STABILITY AND CONTROL OF STOCHASTIC-SYSTEMS WITH WIDEBAND NOISE DISTURBANCES .1. [J].

BLANKENSHIP, G ;

PAPANICOLAOU, GC .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (03) :437-476

[3] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

[4] INPUT OUTPUT STABILITY OF SAMPLED-DATA SYSTEMS [J].

CHEN, T ;

FRANCIS, BA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (01) :50-58

[5] Delay-Independent Minimum Dwell Time for Exponential Stability of Uncertain Switched Delay Systems [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) :2406-2413

[6] Stability condition for sampled data based control of linear continuous switched systems [J].

Feng, Liu ;

Song, Y. D. .

SYSTEMS & CONTROL LETTERS, 2011, 60 (10) :787-797

[7] Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers [J].

Fu, Jun ;

Ma, Ruicheng ;

Chai, Tianyou .

AUTOMATICA, 2015, 54 :360-373

[8] An integral inequality in the stability problem of time-delay systems [J].

Gu, KQ .

PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810

[9]

Hara H, 1996, IEEE DECIS CONTR P, P1251, DOI 10.1109/CDC.1996.572667

[10] A linear matrix inequality (LMI) approach to robust H2 sampled-data control for linear uncertain systems [J].

Hu, LS ;

Lam, J ;

Cao, YY ;

Shao, HH .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2003, 33 (01) :149-155

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