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Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model
Joint Authors
Xiao, Jian
Zhao, Tao
Che, Chang
Peng, Jiayao
Zhou, Jie
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-16
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper focuses on the problem of nonlinear systems with input and state delays.
The considered nonlinear systems are represented by Takagi-Sugeno (T-S) fuzzy model.
A new state feedback control approach is introduced for T-S fuzzy systems with input delay and state delays.
A new Lyapunov-Krasovskii functional is employed to derive less conservative stability conditions by incorporating a recently developed Wirtinger-based integral inequality.
Based on the Lyapunov stability criterion, a series of linear matrix inequalities (LMIs) are obtained by using the slack variables and integral inequality, which guarantees the asymptotic stability of the closed-loop system.
Several numerical examples are given to show the advantages of the proposed results.
American Psychological Association (APA)
Che, Chang& Peng, Jiayao& Zhao, Tao& Xiao, Jian& Zhou, Jie. 2018. Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1206903
Modern Language Association (MLA)
Che, Chang…[et al.]. Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model. Mathematical Problems in Engineering No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1206903
American Medical Association (AMA)
Che, Chang& Peng, Jiayao& Zhao, Tao& Xiao, Jian& Zhou, Jie. Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1206903
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206903