Improved Delay-Dependent Stability and Stabilization Conditions of T-S Fuzzy Time-Delay Systems via an Augmented Lyapunov-Krasovskii Functional Approach
Joint Authors
Gao, Zifan
Yang, Jiaxiu
Zhu, Shuqian
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper develops some improved stability and stabilization conditions of T-S fuzzy system with constant time-delay and interval time-varying delay with its derivative bounds available, respectively.
These conditions are presented by linear matrix inequalities (LMIs) and derived by applying an augmented Lyapunov-Krasovskii functional (LKF) approach combined with a canonical Bessel-Legendre (B-L) inequality.
Different from the existing LKFs, the proposed LKF involves more state variables in an augmented way resorting to the form of the B-L inequality.
The B-L inequality is also applied in ensuring the positiveness of the constructed LKF and the negativeness of derivative of the LKF.
By numerical examples, it is verified that the obtained stability conditions can ensure a larger upper bound of time-delay, the larger number of Legendre polynomials in the stability conditions can lead to less conservative results, and the stabilization condition is effective, respectively.
American Psychological Association (APA)
Gao, Zifan& Yang, Jiaxiu& Zhu, Shuqian. 2019. Improved Delay-Dependent Stability and Stabilization Conditions of T-S Fuzzy Time-Delay Systems via an Augmented Lyapunov-Krasovskii Functional Approach. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1197843
Modern Language Association (MLA)
Gao, Zifan…[et al.]. Improved Delay-Dependent Stability and Stabilization Conditions of T-S Fuzzy Time-Delay Systems via an Augmented Lyapunov-Krasovskii Functional Approach. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1197843
American Medical Association (AMA)
Gao, Zifan& Yang, Jiaxiu& Zhu, Shuqian. Improved Delay-Dependent Stability and Stabilization Conditions of T-S Fuzzy Time-Delay Systems via an Augmented Lyapunov-Krasovskii Functional Approach. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1197843
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197843