Controller synthesis for positive Takagi-Sugeno fuzzy systems under l1 performance

被引：36
|
作者：
Chen, Xiaoming [1 ]
Lam, James [2 ]
Meng, Min [3 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing, Jiangsu, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China
[3] Shandong Univ, Sch Math, Jinan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2017年 / 48卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Iterative algorithm; linear Lyapunov functions; l(1)-induced performance; positive T-S fuzzy systems; TIME-VARYING DELAYS; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; DISSIPATIVITY THEORY; DYNAMICAL-SYSTEMS; SWITCHED SYSTEMS; ROESSER MODEL; STABILIZATION; DESIGN;
D O I：
10.1080/00207721.2016.1188176
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of l(1)-induced controller design for positive Takagi-Sugeno (T-S) fuzzy systems is investigated with the use of linear Lyapunov function. A novel performance characterisation is first established to guarantee the asymptotic stability of the closed-loop system with l(1)-induced performance. Moreover, sufficient conditions are presented to design the required fuzzy controllers and iterative convex optimisation approaches are developed to solve the conditions. Finally, two examples are presented to show the effectiveness of the derived theoretical results.
引用
收藏
页码：515 / 524
页数：10
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