Stabilization of positive Takagi-Sugeno fuzzy discrete-time systems with multiple delays and bounded controls

被引：47

作者：

Benzaouia, Abdellah ^{[1
]}

Oubah, Rkia ^{[1
]}

El Hajjaji, Ahmed ^{[2
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci Semlalia, LAEPT URAC 28, Marrakech, Morocco

[2] Univ Picardie, MIS, Amiens, France

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 07期

关键词：

Linear programming - Closed loop control systems - Digital control systems - State feedback - Discrete time control systems - Lyapunov functions - Nonlinear control systems - Feedback control;

D O I：

10.1016/j.jfranklin.2013.04.006

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 paper deals with the problem of stabilization by state feedback control of Takagi-Sugeno (TS) fuzzy discrete-time systems with multiple fixed delays while imposing positivity in closed-loop. The obtained results are presented under linear programming (LP) form. In particular, the synthesis of state feedback controllers is first solved in terms of Linear programming for the unbounded controls case. This result is then extended to the stabilization problem by nonnegative controls, and stabilization by bounded controls. The stabilization conditions are derived using the single Lyapunov-Krasovskii functional (LKF). An example of a real plant is studied to show the advantages of the design procedure. A comparison between linear programming and LMI approaches is presented. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3719 / 3733

页数：15

共 15 条

[1]

[Anonymous], 2000, PUR AP M-WI

[2]

Benzaouia A, 2012, LECT NOTES CONTR INF, V426, P1, DOI 10.1007/978-1-447-2900-4

[3]

Benzaouia A., 2011, IJCIC, V7

[4]

Benzaouia A., 2011, 50 IEEE C DEC CONTR

[5] Stabilization of controlled positive discrete-time T-S fuzzy systems by state feedback control [J].

Benzaouia, Abdellah ;

Hmamed, Abdelaziz ;

Hajjaji, Ahmed E. L. .

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2010, 24 (12) :1091-1106

[6]

Gasso K., 2000, THESIS I NATL POLYTE

[7]

Hmamed Abdelaziz, 2007, Proceedings of the European Control Conference 2007 (ECC), P5616

[8]

Hmamed A., 2008, P 18 WORLD C IFAC SE

[9]

Kaczorek T., 2002, COMM CONT E

[10]

Kaczorek T., 2009, B POLISH ACAD SCI TE, V57

← 1 2 →