Paper Info
Title
Stability analysis and dynamic output feedback controller design of T-S fuzzy systems with time-varying delays and external disturbances.
Abstract
This paper investigates the stability analysis and Takagi–Sugeno (T–S) fuzzy dynamic output feedback control for a class of T–S fuzzy systems with multiple time-varying delays and unmatched disturbances. Firstly, the T–S fuzzy model is employed to represent the system based on the system input matrix and output matrix. Secondly, the T–S fuzzy dynamic output feedback controller is designed based on the T–S fuzzy model. Thirdly, the line-integral fuzzy Lyapunov functional is employed and the boundary information of membership functions is considered in the stability analysis. Compared with previous works, the multiple time-varying delays and unmatched disturbances are considered in the T–S fuzzy system. The T–S fuzzy dynamic output feedback controller and T–S fuzzy system employ the same number of fuzzy rules but different membership functions to relax the control design conditions. The line-integral fuzzy Lyapunov functional is employed and the boundary information of membership functions is considered to obtain the less conservative stability conditions. Finally, two simulation examples are performed and some comparison figures/results are presented to show the effectiveness and advantage of proposed method, respectively.
Year
DOI
Venue
2019
10.1016/j.cam.2019.01.022
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
T–S fuzzy model,Output feedback controller,Fuzzy Lyapunov functional,Time-varying delays,Disturbances
Fuzzy model,Mathematical optimization,Feedback controller,Matrix (mathematics),Fuzzy logic,Stability conditions,Fuzzy control system,Lyapunov functional,Mathematics
Journal
Volume
ISSN
Citations 
358
0377-0427
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Wei Zheng155.21
hongbin wang2119.05
Hongrui Wang324.78
Shuhuan Wen45411.14