A robust stabilization of discrete-time polynomial fuzzy systems with parametric uncertainties

Yong Hoon Jang; Jin Bae Park; Young Hoon Joo

doi:10.1109/iFUZZY.2016.8004938

A robust stabilization of discrete-time polynomial fuzzy systems with parametric uncertainties

Yong Hoon Jang, Jin Bae Park, Young Hoon Joo

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, robust stabilization conditions are presented for discrete-time polynomial fuzzy systems with parametric uncertainties. To do this, discrete-time polynomial fuzzy systems are firstly adopted for fuzzy modeling of the nonlinear systems in the presence of parametric uncertainties. Next, the sufficient conditions are derived for robust stabilization from Lyapunov stability and formulated in terms of sum-of-squares (SOS) approach. Finally, a numerical simulation example is provided to demonstrate the effectiveness of the proposed robust stabilization conditions.

Original language	English
Title of host publication	2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509041114
DOIs	https://doi.org/10.1109/iFUZZY.2016.8004938
Publication status	Published - 2017 Aug 8
Event	2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016 - Taichung, Taiwan, Province of China Duration: 2016 Nov 9 → 2016 Nov 11

Publication series

Name	2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016

Other

Other	2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016
Country/Territory	Taiwan, Province of China
City	Taichung
Period	16/11/9 → 16/11/11

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

All Science Journal Classification (ASJC) codes

Applied Mathematics
Logic

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10.1109/iFUZZY.2016.8004938

Cite this

Jang, Y. H., Park, J. B., & Joo, Y. H. (2017). A robust stabilization of discrete-time polynomial fuzzy systems with parametric uncertainties. In 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016 Article 8004938 (2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/iFUZZY.2016.8004938

Jang, Yong Hoon ; Park, Jin Bae ; Joo, Young Hoon. / A robust stabilization of discrete-time polynomial fuzzy systems with parametric uncertainties. 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016. Institute of Electrical and Electronics Engineers Inc., 2017. (2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016).

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abstract = "In this paper, robust stabilization conditions are presented for discrete-time polynomial fuzzy systems with parametric uncertainties. To do this, discrete-time polynomial fuzzy systems are firstly adopted for fuzzy modeling of the nonlinear systems in the presence of parametric uncertainties. Next, the sufficient conditions are derived for robust stabilization from Lyapunov stability and formulated in terms of sum-of-squares (SOS) approach. Finally, a numerical simulation example is provided to demonstrate the effectiveness of the proposed robust stabilization conditions.",

author = "Jang, {Yong Hoon} and Park, {Jin Bae} and Joo, {Young Hoon}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016 ; Conference date: 09-11-2016 Through 11-11-2016",

year = "2017",

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doi = "10.1109/iFUZZY.2016.8004938",

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Jang, YH , Park, JB & Joo, YH 2017, A robust stabilization of discrete-time polynomial fuzzy systems with parametric uncertainties. in 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016., 8004938, 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016, Institute of Electrical and Electronics Engineers Inc., 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016, Taichung, Taiwan, Province of China, 16/11/9. https://doi.org/10.1109/iFUZZY.2016.8004938

A robust stabilization of discrete-time polynomial fuzzy systems with parametric uncertainties. / Jang, Yong Hoon ; Park, Jin Bae; Joo, Young Hoon.
2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016. Institute of Electrical and Electronics Engineers Inc., 2017. 8004938 (2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - In this paper, robust stabilization conditions are presented for discrete-time polynomial fuzzy systems with parametric uncertainties. To do this, discrete-time polynomial fuzzy systems are firstly adopted for fuzzy modeling of the nonlinear systems in the presence of parametric uncertainties. Next, the sufficient conditions are derived for robust stabilization from Lyapunov stability and formulated in terms of sum-of-squares (SOS) approach. Finally, a numerical simulation example is provided to demonstrate the effectiveness of the proposed robust stabilization conditions.

AB - In this paper, robust stabilization conditions are presented for discrete-time polynomial fuzzy systems with parametric uncertainties. To do this, discrete-time polynomial fuzzy systems are firstly adopted for fuzzy modeling of the nonlinear systems in the presence of parametric uncertainties. Next, the sufficient conditions are derived for robust stabilization from Lyapunov stability and formulated in terms of sum-of-squares (SOS) approach. Finally, a numerical simulation example is provided to demonstrate the effectiveness of the proposed robust stabilization conditions.

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BT - 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016

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Jang YH , Park JB, Joo YH. A robust stabilization of discrete-time polynomial fuzzy systems with parametric uncertainties. In 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016. Institute of Electrical and Electronics Engineers Inc. 2017. 8004938. (2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016). doi: 10.1109/iFUZZY.2016.8004938

A robust stabilization of discrete-time polynomial fuzzy systems with parametric uncertainties

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