New Approach to Stability Analysis for Uncertain 2-D Continuous Systems

被引：0

作者：

Kririm, Said ^{[1
]}

Hmamed, Abdelaziz ^{[1
]}

机构：

[1] Fac Sci, Dept Phys, Dhar El Mehraz BP 1796, Fes, Morocco

来源：

INTERNATIONAL JOURNAL OF ECOLOGY & DEVELOPMENT | 2015年 / 30卷 / 02期

关键词：

2-D continuous systems; Robust stability; Homogeneous polynomially parameter-dependent Lyapunov functions; Linear matrix inequalities (LMIs); polytopic uncertainty; Roesser model;

D O I：

暂无

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

A methodology for the analysis of robust stability of 2-D continuous Roesser systems is presented in this paper, when the uncertainty is polytopic. Robust stability is guaranteed by the existence of homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree on the uncertain parameters. These functions are obtained from a feasible solution of a set of Linear Matrix Inequalities (LMIs), formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results.

引用

页码：11 / 19

页数：9

共 22 条

[1]

Alfidi M., 2007, WSEAS Transactions on Systems and Control, V2, P497

[2]

Battacharyya P., 1997, ROBUST CONTROL PARAM

[3]

Chaibi N., 2013, INT J ECOLOGICAL EC, V31, P54

[4]

Chaibi N., 2013, INT J ECOLOGICAL EC, V28, P18

[5] Robust stability of polytopic systems via polynomially parameter-dependent Lyapunov functions [J].

Chesi, G ;

Garulli, A ;

Tesi, A ;

Vicino, A .

42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, :4670-4675

[6]

de Oliveira MC, 2001, LECT NOTES CONTR INF, V268, P241

[7]

Dettori M, 1998, IEEE DECIS CONTR P, P2798, DOI 10.1109/CDC.1998.757879

[8] Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions [J].

Feron, E ;

Apkarian, P ;

Gahinet, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (07) :1041-1046

[9] Affine parameter-dependent Lyapunov functions and real parametric uncertainty [J].

Gahinet, P ;

Apkarian, P ;

Chilali, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :436-442

[10]

Galkowski K, 2002, ICES 2002: 9TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS I-111, CONFERENCE PROCEEDINGS, P923, DOI 10.1109/ICECS.2002.1046399

← 1 2 3 →