Finite-time Control of Sampled-data Systems

被引：0

作者：

Liu, Hongliang ^{[1
,2
]}

Zhou, Huibo ^{[1
,2
]}

Ding, Shan ^{[3
]}

Wang, Peichen ^{[4
]}

机构：

[1] Harbin Normal Univ, Fac Math Sci, Harbin, Peoples R China

[2] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin, Peoples R China

[3] Heilongjiang Career Coll, Inst Tourism & Human, Harbin, Peoples R China

[4] Heilongjiang Inst Technol, Fac Math Sci, Harbin, Peoples R China

来源：

2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2013年

基金：

中国国家自然科学基金;

关键词：

Sampled-data systems; input-delay approach; finite time control; LMI; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILIZATION; STABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Finite-time control of sampled-data systems are addressed. A kind of Lyapunov-Krasovskii function-like function is proposed, whose derivative does not need to be negative definite. Based on input-delay approach and free-weight matrix technologies, sufficient conditions which can ensure finite-time stability (FTS) for the resulted closed-loop system with rapid time-vary delay are given in linear matrix inequalities (LMIs). And then in virtue of the results on finite-time stability, the state feedback controller is designed. These conditions are given in terms of LMIs and are delay-dependent.

引用

页码：2788 / 2792

页数：5

共 23 条

[1] Finite-time control of discrete-time linear systems [J].

Amato, F ;

Ariola, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :724-729

[2] Finite-time control of linear systems subject to parametric uncertainties and disturbances [J].

Amato, F ;

Ariola, M ;

Dorato, P .

AUTOMATICA, 2001, 37 (09) :1459-1463

[3] Sufficient Conditions for Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems [J].

Amato, Francesco ;

Cosentino, Carlo ;

Merola, Alessio .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (02) :430-434

[4]

Astrom KJ., 2013, Adaptive control

[5]

Chen T.W., 1995, Optimal Sampled-Data Control Systems

[6] H infinity-optimal sampled-data control: Computation and design [J].

Chen, TW ;

Francis, BA .

AUTOMATICA, 1996, 32 (02) :223-228

[7] Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].

Daafouz, J ;

Riedinger, P ;

Iung, C .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887

[8]

Dorato P., 1961, SHORT TIME STABILITY, P83

[9]

Du HB, 2010, KYBERNETIKA, V46, P870

[10] Input delay approach to robust sampled-data H∞ control [J].

Fridman, E ;

Shaked, U .

2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, :1950-1951

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