Delay-Dependent H∞ Control for T-S Fuzzy Systems with Local Nonlinear Models: An LMI Approach
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper studies the stabilization design scheme with H∞ performance for a large class of nonlinear discrete-time systems.
The system under study is modeled by Takagi-Sugeno (T-S) model with local nonlinearity and state delay.
First, the model is changed into an equivalent fuzzy switching model.
And then, according to projection theorem and piecewise Lyapunov function (PLF), two new H∞ control methods are proposed for fuzzy switched systems, which consider the time delay information of the system.
Finally, the relationship among all fuzzy subsystems is considered.
Because the results are only expressed by a series of linear matrix inequalities (LMIs), the controller can be directly designed by the linear matrix inequalities toolbox of MATLAB.
American Psychological Association (APA)
Xia, Zhile. 2020. Delay-Dependent H∞ Control for T-S Fuzzy Systems with Local Nonlinear Models: An LMI Approach. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1193740
Modern Language Association (MLA)
Xia, Zhile. Delay-Dependent H∞ Control for T-S Fuzzy Systems with Local Nonlinear Models: An LMI Approach. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1193740
American Medical Association (AMA)
Xia, Zhile. Delay-Dependent H∞ Control for T-S Fuzzy Systems with Local Nonlinear Models: An LMI Approach. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1193740
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193740