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Decentralized Polynomial Observer Design for Discrete-Time Large-Scale Polynomial T-S Fuzzy System
Joint Authors
Han, Seung-Hun
Vu, Van-Phong
Tran, Manh-Son
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, a new approach for synthesizing a decentralized observer is proposed to estimate the unmeasurable states of a discrete-time large-scale nonlinear system.
The large-scale nonlinear system in this study is modeled in terms of a set of discrete-time polynomial Takagi-Sugeno (T-S) fuzzy subsystems and interconnection terms.
This modeling method will assist to reduce significantly the number of fuzzy rules.
The interconnection terms are considered as the unknown inputs; then, the unknown input method is employed to design observer for this system.
It should be emphasized that the interconnection parts in this paper are arbitrary and their effects are eliminated completely.
On the basis of the Lyapunov methodology and SOS (Sum of Square) technique, the conditions for observer design expressed under the framework of SOS are derived in the main theorems.
Finally, an illustrative example is presented to show the effectiveness and merit of the proposed method.
American Psychological Association (APA)
Han, Seung-Hun& Vu, Van-Phong& Tran, Manh-Son. 2019. Decentralized Polynomial Observer Design for Discrete-Time Large-Scale Polynomial T-S Fuzzy System. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1194690
Modern Language Association (MLA)
Han, Seung-Hun…[et al.]. Decentralized Polynomial Observer Design for Discrete-Time Large-Scale Polynomial T-S Fuzzy System. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1194690
American Medical Association (AMA)
Han, Seung-Hun& Vu, Van-Phong& Tran, Manh-Son. Decentralized Polynomial Observer Design for Discrete-Time Large-Scale Polynomial T-S Fuzzy System. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1194690
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194690