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

Advances in Difference Equations

Zhenghong Jin¹  Qingling Zhang²  Yi Zhang² 

[1] School of Automation, Nanjing University of Science and Technology, Nanjing, China;School of Science, Shenyang University of Technology, Shenyang, China

关键词: observer design;    T-S fuzzy singular systems;    nonlinear singular systems;    globally stable;   

DOI  :  10.1186/s13662-016-1052-7

学科分类：数学（综合）

来源: SpringerOpen

【 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).

【 授权许可】

CC BY