Observer design for a class of T-S fuzzy singular systems

被引：4
|
作者：
Zhang, Yi [1 ,2 ]
Jin, Zhenghong [1 ,3 ]
Zhang, Qingling [3 ]
机构：
[1] Shenyang Univ Technol, Sch Sci, Shenyang 110870, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
[3] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
observer design; T-S fuzzy singular systems; nonlinear singular systems; globally stable; EXTENDED LUENBERGER OBSERVER; SLIDING MODE APPROACH; STABILIZATION; STABILITY; DELAY;
D O I：
10.1186/s13662-016-1052-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims at proposing an observer-based T-S fuzzy singular system. Firstly, we give a general model of nonlinear singular systems. We use the T-S fuzzy control method to form a T-S fuzzy singular system and we give the augmented system and compact form of a T-S fuzzy singular system. Secondly, we design a T-S fuzzy observer for the augmented system. In order to prove the parameters and state estimation errors are globally stable for the T-S fuzzy observer, we construct a Lyapunov function with T-S fuzzy form. Then we give the sufficient condition that the fuzzy control fuzzy system is globally exponentially stable and give the controller gains. Finally, we give two numerical examples for the observer, and the simulation results demonstrate the effectiveness of the observer for the nonlinear singular system, through a comparison of the literature (Zulfiqar et al. in Appl. Math. Model. 40(3):2301-2311, 2016).
引用
收藏
页数：19
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