Novel stability conditions for discrete-time T-S fuzzy systems: A Kronecker-product approach

被引:15
作者
Chen, Jun [1 ,2 ]
Xu, Shengyuan [1 ]
Zhang, Baoyong [1 ]
Qi, Zhidong [1 ]
Li, Ze [3 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
[2] Jiangsu Normal Univ, Sch Elect Engn & Automat, Xuzhou 221116, Peoples R China
[3] Suzhou Univ Sci & Technol, Sch Mech & Elect Engn, Suzhou 215000, Peoples R China
基金
中国国家自然科学基金;
关键词
Stability; Takagi-Sugeno fuzzy system; Homogeneous matrix polynomial; Linear matrix inequality; Kronecker product; NONQUADRATIC STABILIZATION CONDITIONS; OUTPUT-FEEDBACK CONTROL; TAKAGI-SUGENO MODEL; NONLINEAR-SYSTEMS; OBSERVER DESIGN; VARYING DELAY;
D O I
10.1016/j.ins.2015.12.027
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 is concerned with the issue of developing a novel strategy to reduce the conservatism of stability conditions for discrete-time Takagi-Sugeno (T-S) fuzzy systems. Unlike the previous ones which are almost quadratic with respect to the state vector, a new class of Lyapunov functions is proposed which is quadratic with respect to the Kronecker products of the state vector, thus including almost the existing ones found in the literature as special cases. By combining the characterizations of homogeneous matrix polynomials and the properties of membership functions, relaxed stability conditions are derived in the form of linear matrix inequalities which can be efficiently solved by the convex optimization techniques. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach. (C) 2016 Published by Elsevier Inc.
引用
收藏
页码:72 / 81
页数:10
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