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

[21] Positive Observers and Dynamic Output-Feedback Controllers for Interval Positive Linear Systems [J].

Shu, Zhan ;

Lam, James ;

Gao, Huijun ;

Du, Baozhu ;

Wu, Ligang .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (10) :3209-3222

[22]

SILVANAVARRO G, 1994, IEEE DECIS CONTR P, P4043, DOI 10.1109/CDC.1994.411577

[23] Static output feedback control for positive linear continuous-time systems [J].

Wang, Cuihong ;

Huang, Tianmin .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (14) :1537-1544

[24]

Zappavigna A, 2010, P AMER CONTR CONF, P6256

[25] Stability of a class of switched positive linear time-delay systems [J].

Zhao, Xudong ;

Zhang, Lixian ;

Shi, Peng .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (05) :578-589

[26] Stability of switched positive linear systems with average dwell time switching [J].

Zhao, Xudong ;

Zhang, Lixian ;

Shi, Peng ;

Liu, Ming .

AUTOMATICA, 2012, 48 (06) :1132-1137

[27] Stabilisation of second-order LTI switched positive systems [J].

Zheng, Yan ;

Feng, Gang .

INTERNATIONAL JOURNAL OF CONTROL, 2011, 84 (08) :1387-1397

[28] Exponential stability analysis for positive systems with delays [J].

Zhu, S. ;

Li, Z. ;

Zhang, C. .

IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (06) :761-767

← 1 2 3 →