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H∞ Neural-Network-Based Discrete-Time Fuzzy Control of Continuous-Time Nonlinear Systems with Dither
Joint Authors
Tsai, Zhi-Ren
Hwang, Jiing-Dong
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-05
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This study presents an effective approach to stabilizing a continuous-time (CT) nonlinear system using dithers and a discrete-time (DT) fuzzy controller.
A CT nonlinear system is first discretized to a DT nonlinear system.
Then, a Neural-Network (NN) system is established to approximate a DT nonlinear system.
Next, a Linear Difference Inclusion state-space representation is established for the dynamics of the NN system.
Subsequently, a Takagi-Sugeno DT fuzzy controller is designed to stabilize this NN system.
If the DT fuzzy controller cannot stabilize the NN system, a dither, as an auxiliary of the controller, is simultaneously introduced to stabilize the closed-loop CT nonlinear system by using the Simplex optimization and the linear matrix inequality method.
This dither can be injected into the original CT nonlinear system by the proposed injecting procedure, and this NN system is established to approximate this dithered system.
When the discretized frequency or sampling frequency of the CT system is sufficiently high, the DT system can maintain the dynamic of the CT system.
We can design the sampling frequency, so the trajectory of the DT system and the relaxed CT system can be made as close as desired.
American Psychological Association (APA)
Tsai, Zhi-Ren& Hwang, Jiing-Dong. 2011. H∞ Neural-Network-Based Discrete-Time Fuzzy Control of Continuous-Time Nonlinear Systems with Dither. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001495
Modern Language Association (MLA)
Tsai, Zhi-Ren& Hwang, Jiing-Dong. H∞ Neural-Network-Based Discrete-Time Fuzzy Control of Continuous-Time Nonlinear Systems with Dither. Mathematical Problems in Engineering No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1001495
American Medical Association (AMA)
Tsai, Zhi-Ren& Hwang, Jiing-Dong. H∞ Neural-Network-Based Discrete-Time Fuzzy Control of Continuous-Time Nonlinear Systems with Dither. Mathematical Problems in Engineering. 2011. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001495
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001495