PIECEWISE OBSERVERS OF RECTANGULAR DISCRETE FUZZY DESCRIPTOR SYSTEMS WITH MULTIPLE TIME-VARYING DELAYS

被引：5

作者：

Fan, Hongbiao ^{[1
,2
]}

Feng, Jun-E ^{[2
]}

Meng, Min ^{[2
]}

机构：

[1] Dezhou Univ, Sch Math Sci, Dezhou 253600, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2016年 / 12卷 / 04期

关键词：

Fuzzy descriptor system; piecewise observer; piecewise Lyapunov function; time-varying delays; FEEDBACK CONTROL DESIGN; H-INFINITY CONTROL; DYNAMIC-SYSTEMS; STABILITY ANALYSIS; NONLINEAR-SYSTEMS; STATE; STABILIZATION; IDENTIFICATION; MODEL;

D O I：

10.3934/jimo.2016.12.1535

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper investigates piecewise observer design for rectangular discrete fuzzy descriptor systems with multiple time-varying delays. Via a series of simple transformations, the considered rectangular descriptor plants are converted into standard ones with multiple time-varying delays. Then, two sufficient delay-dependent conditions for existence of piecewise fuzzy observers are derived based on piecewise Lyapunov functions. Finally, two numerical examples are presented to show the effectiveness of the theoretical results.

引用

页码：1535 / 1556

页数：22

共 37 条

[1]

[Anonymous], 2012, COMPLEXITY ANAL CONT

[2]

Boyd S., 1994, SIAM STUDIES APPL MA

[3] Analysis and design of fuzzy control systems using dynamic fuzzy-state space models [J].

Cao, SG ;

Rees, NW ;

Feng, G .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (02) :192-200

[4] Robust H∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems [J].

Cao, YY ;

Frank, PM .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (04) :406-415

[5] A UNIFIED PARAMETER IDENTIFICATION METHOD FOR NONLINEAR TIME-DELAY SYSTEMS [J].

Chai, Qinqin ;

Loxton, Ryan ;

Teo, Kok Lay ;

Yang, Chunhua .

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2013, 9 (02) :471-486

[6]

Chen BS, 2000, IEEE T FUZZY SYST, V8, P249, DOI 10.1109/91.855915

[7] ADAPTIVE CONTROL OF NONLINEAR SYSTEMS USING FUZZY SYSTEMS [J].

Dabbous, Tayel Essawy .

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2010, 6 (04) :861-880

[8] Reduced-order observer design for descriptor systems with unknown inputs [J].

Darouach, M ;

Zasadzinski, M ;

Hayar, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (07) :1068-1072

[9] Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions [J].

Feng, G .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) :22-28

[10] Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay [J].

Gao, H ;

Lam, J ;

Wang, C ;

Wang, Y .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06) :691-698

← 1 2 3 4 →