Feedback control for switched positive linear systems

被引：53

作者：

Zhang, Junfeng ^{[1
]}

Han, Zhengzhi ^{[1
]}

Zhu, Fubo ^{[1
]}

Huang, Jun ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Elect Informat & Elect Engn, Shanghai 200240, Peoples R China

[2] Soochow Univ, Sch Mech & Elect Engn, Suzhou 215021, Jiangsu, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2013年 / 7卷 / 03期

基金：

中国国家自然科学基金;

关键词：

COPOSITIVE LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; STABILIZATION; OBSERVERS;

D O I：

10.1049/iet-cta.2012.0428

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study investigates the feedback control for a class of switched positive linear systems (SPLSs). By means of the linear programming approach, output-feedback and state-feedback controllers for the underlying systems with average dwell time are designed, respectively. Under these controllers, the closed-loop systems are positive and asymptotically stable. These results obtained provide a way to solve the control synthesis problems of SPLSs by multiple linear copositive Lyapunov functions. Finally, an example is given to illustrate the validity of the present design.

引用

页码：464 / 469

页数：6

共 28 条

[1] Solvability of static output-feedback stabilization for LTI positive systems [J].

Ait Rami, Mustapha .

SYSTEMS & CONTROL LETTERS, 2011, 60 (09) :704-708

[2] Positive observers for linear positive systems, and their implications [J].

Ait Rami, Mustapha ;

Tadeo, Fernando ;

Helmke, Uwe .

INTERNATIONAL JOURNAL OF CONTROL, 2011, 84 (04) :716-725

[3]

[Anonymous], 2000, PUR AP M-WI

[4] A positive linear discrete-time model of capacity planning and its controllability properties [J].

Caccetta, L ;

Foulds, LR ;

Rumchev, VG .

MATHEMATICAL AND COMPUTER MODELLING, 2004, 40 (1-2) :217-226

[5]

Caswell Hal, 2001, pi

[6] Stabilization of positive linear systems [J].

De Leenheer, P ;

Aeyels, D .

SYSTEMS & CONTROL LETTERS, 2001, 44 (04) :259-271

[7] Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems [J].

Fornasini, Ettore ;

Valcher, Maria Elena .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (08) :1933-1937

[8] Control for stability and positivity: Equivalent conditions and computation [J].

Gao, HJ ;

Lam, J ;

Wang, CH ;

Xu, SY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (09) :540-544

[9] 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

[10]

Horn RA., 2013, MATRIX ANAL

← 1 2 3 →