Output feedback stabilization of two-dimensional fuzzy systems

被引:5
作者
Li, Lizhen [1 ]
Lin, Zhiping [2 ]
Chai, Yuan [1 ]
Cai, Jingjing [1 ]
机构
[1] Shanghai Univ Elect Power, Sch Math & Phys, Shanghai 200090, Peoples R China
[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
关键词
Two-dimensional fuzzy systems; Output feedback Stabilization; Static output feedback control; Linear matrix inequality (LMI) approach; H-INFINITY CONTROL; 2-D DISCRETE-SYSTEMS; CONTROL DESIGN; STABILITY; CONTROLLER;
D O I
10.1007/s11045-018-0625-x
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper is concerned with the output feedback stabilization of two-dimensional discrete fuzzy systems described by the Fornasini-Marchesini second model. Based on the fuzzy-basis-dependent Lyapunov function, a new criterion is proposed for the fuzzy static output feedback (SOF) controller, which is expressed as strict linear matrix inequalities and hence numerically tractable. The main advantage of the developed SOF control scheme is that no constraints are imposed on system matrices, which is expected to have a wider range of applications. The applicability and the advantage of the proposed results are shown through two numerical examples.
引用
收藏
页码:1731 / 1748
页数:18
相关论文
共 37 条
[21]   ON THE ROBUST STABILIZABILITY OF LINEAR TIME-INVARIANT PLANTS WITH UNSTRUCTURED UNCERTAINTY [J].
KHARGONEKAR, PP ;
GEORGIOU, TT ;
PASCOAL, AM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (03) :201-207
[22]   Stability Analysis and Control of Two-Dimensional Fuzzy Systems With Directional Time-Varying Delays [J].
Le Van Hien ;
Hieu Trinh .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (03) :1550-1564
[23]  
Li L, 2013, INT C CONTR AUT ROB, P1303
[24]   Stability and stabilisation of linear multidimensional discrete systems in the frequency domain [J].
Li, Lizhen ;
Xu, Li ;
Lin, Zhiping .
INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (11) :1969-1989
[25]   Fuzzy modeling and H∞ control for general 2D nonlinear systems [J].
Li, Lizhen ;
Wang, Weiqun .
FUZZY SETS AND SYSTEMS, 2012, 207 :1-26
[26]   Feedback stabilization of MIMO 3-D linear systems [J].
Lin, ZP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (10) :1950-1955
[27]   Analysis and design of fuzzy controller and fuzzy observer [J].
Ma, XJ ;
Sun, ZQ ;
He, YY .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1998, 6 (01) :41-51
[28]   DELAY-DEPENDENT STABILITY AND STATIC OUTPUT FEEDBACK CONTROL OF 2-D DISCRETE SYSTEMS WITH INTERVAL TIME-VARYING DELAYS [J].
Peng, Dan ;
Hua, Changchun .
ASIAN JOURNAL OF CONTROL, 2014, 16 (06) :1726-1734
[29]   Output Feedback H∞ Control for 2-D State-Delayed Systems [J].
Peng, Dan ;
Guan, Xinping .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (01) :147-167
[30]   Static output-feedback stabilization with optimal L1-gain for positive linear systems [J].
Shen, Jun ;
Lam, James .
AUTOMATICA, 2016, 63 :248-253