Observer Design for Discrete-time Switched Positive Systems with Time-varying Delays

被引：0

作者：

Cai, Mingjie ^{[1
]}

Xiang, Zhengrong ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

来源：

2012 1ST INTERNATIONAL CONFERENCE ON SYSTEMS AND COMPUTER SCIENCE (ICSCS) | 2012年

基金：

中国国家自然科学基金;

关键词：

switched positive system; time-varying delay; exponential stability; multiple co-positive Lyapunov function; Lyapunov-Krasovskii function; average dwell time (ADT); linear matrix inequality(LMI); COPOSITIVE LYAPUNOV FUNCTIONS; STABILITY ANALYSIS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper investigates the design problem of exponential positive observer for a class of discrete-time switched positive linear systems with time-varying delay. A sufficient exponential stability criterion is proposed in terms of linear matrix inequalities (LMIs) for the underlying system under average dwell time switching. Then, based on the stability results, sufficient conditions for the existence of exponential positive observers are established. A numerical example is given to show the effectiveness of the proposed results.

引用

页数：6

共 33 条

[1]

[Anonymous], 2000, PUR AP M-WI

[2] 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

[3] On linear copositive Lyapunov functions for switched positive systems [J].

Ding, Xiuyong ;

Shu, Lan ;

Liu, Xiu .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (08) :2099-2107

[4] On stability for switched linear positive systems [J].

Ding, Xiuyong ;

Shu, Lan ;

Wang, Zhaohao .

MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) :1044-1055

[5] POSITIVE REALIZATIONS OF LINEAR-SYSTEMS [J].

FARINA, L ;

BENVENUTI, L .

SYSTEMS & CONTROL LETTERS, 1995, 26 (01) :1-9

[6] Hybrid Dynamical Systems [J].

Goebel, Rafal ;

Sanfelice, Ricardo G. ;

Teel, Andrew R. .

IEEE CONTROL SYSTEMS MAGAZINE, 2009, 29 (02) :28-93

[7] On the stability of switched positive linear systems [J].

Gurvits, L. ;

Shorten, R. ;

Mason, O. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (06) :1099-1103

[8] Stability theory for nonnegative and compartmental dynamical systems with time delay [J].

Haddad, WM ;

Chellaboina, VS .

SYSTEMS & CONTROL LETTERS, 2004, 51 (05) :355-361

[9] Observers for linear positive systems [J].

Hardin, Hanna M. ;

van Schuppen, Jan H. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 425 (2-3) :571-607

[10]

Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330

← 1 2 3 4 →