Open AccessFurther study on local analysis of continuous‐time T‐S fuzzy models with bounded disturbances
Author(s) -
Hu Guolin,
Liu Xiaodong,
Wang Likui,
Li Hongxing
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5070
Subject(s) - control theory (sociology) , bounded function , fuzzy logic , mathematics , computer science , artificial intelligence , mathematical analysis , control (management)
This study further addresses the problem of computing the bounds of disturbances for continuous‐time Takagi‐Sugeno (T‐S) fuzzy models. First, in order to bound the time derivatives of the membership functions, less conservative results, which overcome some drawbacks of the previous results such as special structure of free variable, redundant restrictive conditions and parameters, are obtained by applying the generalised Lyapunov function and non‐quadratic control law. Second, if the disturbances are bounded by energy, some conditions are derived to get two local regions (a smaller and a bigger) that are contained in a specific compact set C , and guarantee that all the trajectories starting from the smaller region will remain in the bigger one. Finally, two examples are given to illustrate the effectiveness of the results.