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 proceedingConference 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 languageEnglish
Title of host publication2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509041114
DOIs
Publication statusPublished - 2017 Aug 8
Event2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016 - Taichung, Taiwan, Province of China
Duration: 2016 Nov 92016 Nov 11

Publication series

Name2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016

Other

Other2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016
CountryTaiwan, Province of China
CityTaichung
Period16/11/916/11/11

Fingerprint

Robust Stabilization
Parametric Uncertainty
Polynomial Systems
Fuzzy systems
Fuzzy Systems
Discrete-time
Stabilization
Polynomials
Fuzzy Modeling
Lyapunov Stability
Sum of squares
Nonlinear systems
Nonlinear Systems
Numerical Simulation
Sufficient Conditions
Computer simulation
Demonstrate
Uncertainty

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Logic

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 [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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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 proceedingConference contribution

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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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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). https://doi.org/10.1109/iFUZZY.2016.8004938