Stability analysis and control design for 2-D fuzzy systems via basis-dependent Lyapunov functions

被引：53
作者：
Chen, Xiaoming [1 ]
Lam, James [1 ]
Gao, Huijun [2 ]
Zhou, Shaosheng [3 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[2] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Heilongjiang, Peoples R China
[3] Hangzhou Dianzi Univ, Dept Automat, Hangzhou 310018, Zhejiang, Peoples R China
来源：
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2013年 / 24卷 / 03期
关键词：
2-D system; Basis-dependent Lyapunov function; Control design; Fuzzy system; Stability analysis; H-INFINITY CONTROL; DISCRETE-SYSTEMS; NONLINEAR-SYSTEMS; STABILIZATION; LMI;
D O I：
10.1007/s11045-011-0166-z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper investigates the problem of stability analysis and stabilization for two-dimensional (2-D) discrete fuzzy systems. The 2-D fuzzy system model is established based on the Fornasini-Marchesini local state-space model, and a control design procedure is proposed based on a relaxed approach in which basis-dependent Lyapunov functions are used. First, nonquadratic stability conditions are derived by means of linear matrix inequality (LMI) technique. Then, by introducing an additional instrumental matrix variable, the stabilization problem for 2-D fuzzy systems is addressed, with LMI conditions obtained for the existence of stabilizing controllers. Finally, the effectiveness and advantages of the proposed design methods based on basis-dependent Lyapunov functions are shown via two examples.
引用
收藏
页码：395 / 415
页数：21
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