Title
An approach to observer design of continuous-time Takagi-Sugeno fuzzy model with bounded disturbances
Abstract
This paper addresses the problem of designing the observer for a class of nonlinear systems by using the T-S (Takagi-Sugeno) fuzzy model. First, two lemmas are obtained to demonstrate how to design the observer. Then, based on the non-quadratic Lyapunov function, a new method is proposed to locally stabilize the T-S fuzzy system. The new method can be applied to any T-S models no matter whether the rules are even or odd. Naturally, the new method is extended to get some LMIs (Linear Matrix Inequalities) to design the observer. For practical reason, the disturbances considered in this paper are bounded by magnitude and energy. Finally, three examples are given to illustrate the effectiveness of the new approach.
Year
DOI
Venue
2015
10.1016/j.ins.2015.06.034
Information Sciences
Keywords
Field
DocType
Takagi–Sugeno’s fuzzy model,Observer design,Non-parallel distributed compensation law,Non-quadratic Lyapunov function
Lyapunov function,Nonlinear system,Practical reason,Matrix (mathematics),Control theory,Fuzzy control system,Observer (quantum physics),Lemma (mathematics),Mathematics,Bounded function
Journal
Volume
Issue
ISSN
324
C
0020-0255
Citations 
PageRank 
References 
14
0.55
43
Authors
4
Name
Order
Citations
PageRank
Likui Wang115311.05
Jia Li Peng2150.90
Xiaodong Liu349228.50
H Zhang47027358.18