Exponential stability analysis and l1 synthesis of positive T-S fuzzy systems with time-varying delays

被引：46
作者：
Meng, Min [1 ]
Lam, James [2 ]
Feng, Jun-e [1 ]
Zhao, Xudong [3 ]
Chen, Xiaoming [4 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China
[3] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Liaoning, Peoples R China
[4] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2017年 / 24卷
关键词：
alpha-exponential stability; l(1) controller synthesis; Positive systems; Takagi-Sugeno fuzzy systems; OUTPUT-FEEDBACK STABILIZATION; LINEAR-SYSTEMS; PERFORMANCE; DESIGN; RADII;
D O I：
10.1016/j.nahs.2017.01.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The alpha-exponential stability analysis and l(1) controller synthesis of positive Takagi-Sugeno fuzzy discrete-time systems with time-varying delays are discussed in this paper. A sufficient condition of alpha-exponential stability for autonomous positive fuzzy systems is first established by constructing a new Lyapunov-Krasovskii functional, which depends on a given scalar 0 < alpha < 1 and the bound of time-varying delays. Then, a sufficient condition for controlled systems with l(1) gain constraint is also presented while imposing a-exponential stability, upon which, a constrained l(1) controller is designed for both single-input and multi-input cases. Finally, an example is given to show the feasibility of the theoretical results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：186 / 197
页数：12
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