The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching

Hyeon Jun Lim; Jin Bae Park; Young Hoon Joo

doi:10.1109/iFUZZY.2016.8004944

The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching

Hyeon Jun Lim, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

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

Abstract

This paper proposes the relaxed stabilization condition for the output-feedback Takagi-Sugeno (T-S) fuzzy control system. Most of previous papers have used the state-feedback fuzzy controller for the T-S fuzzy model based on parallel-distribution-compensation. However, the state-feedback fuzzy controller is sometimes difficult to be designed when some states are unavailable or inaccessible. This paper introduces the T-S fuzzy control method with the output-feedback fuzzy controller. Furthermore, to reduce the implementation costs caused by the complicated system membership functions, the output-feedback fuzzy controller is designed under the imperfect premise matching. However, the stabilization condition of the output-feedback fuzzy controller under the imperfect premise matching may be conservative. Therefore, for the relaxed condition, the fuzzy Lyapunov function is considered. Finally, the proposed approach is verified by the simulation.

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.2016.8004944
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

Funding Information:
Research supported by the Institute of BioMed-IT, Energy-IT and Smart-IT Technology (BEST), a Brain Korea 21 plus program, Yonsei University, by Barun lCT Research Center at Yonsei University, and by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016RIA6AIA03013567).

Publisher Copyright:
© 2016 IEEE.

All Science Journal Classification (ASJC) codes

Applied Mathematics
Logic

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10.1109/iFUZZY.2016.8004944

Cite this

Lim, H. J., Park, J. B., & Joo, Y. H. (2017). The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching. In 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016 [8004944] (2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/iFUZZY.2016.8004944

Lim, Hyeon Jun ; Park, Jin Bae ; Joo, Young Hoon. / The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching. 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 = "This paper proposes the relaxed stabilization condition for the output-feedback Takagi-Sugeno (T-S) fuzzy control system. Most of previous papers have used the state-feedback fuzzy controller for the T-S fuzzy model based on parallel-distribution-compensation. However, the state-feedback fuzzy controller is sometimes difficult to be designed when some states are unavailable or inaccessible. This paper introduces the T-S fuzzy control method with the output-feedback fuzzy controller. Furthermore, to reduce the implementation costs caused by the complicated system membership functions, the output-feedback fuzzy controller is designed under the imperfect premise matching. However, the stabilization condition of the output-feedback fuzzy controller under the imperfect premise matching may be conservative. Therefore, for the relaxed condition, the fuzzy Lyapunov function is considered. Finally, the proposed approach is verified by the simulation.",

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Lim, HJ, Park, JB & Joo, YH 2017, The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching. in 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016., 8004944, 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.2016.8004944

The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching. / Lim, Hyeon Jun; 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. 8004944 (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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N1 - Funding Information: Research supported by the Institute of BioMed-IT, Energy-IT and Smart-IT Technology (BEST), a Brain Korea 21 plus program, Yonsei University, by Barun lCT Research Center at Yonsei University, and by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016RIA6AIA03013567). Publisher Copyright: © 2016 IEEE.

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N2 - This paper proposes the relaxed stabilization condition for the output-feedback Takagi-Sugeno (T-S) fuzzy control system. Most of previous papers have used the state-feedback fuzzy controller for the T-S fuzzy model based on parallel-distribution-compensation. However, the state-feedback fuzzy controller is sometimes difficult to be designed when some states are unavailable or inaccessible. This paper introduces the T-S fuzzy control method with the output-feedback fuzzy controller. Furthermore, to reduce the implementation costs caused by the complicated system membership functions, the output-feedback fuzzy controller is designed under the imperfect premise matching. However, the stabilization condition of the output-feedback fuzzy controller under the imperfect premise matching may be conservative. Therefore, for the relaxed condition, the fuzzy Lyapunov function is considered. Finally, the proposed approach is verified by the simulation.

AB - This paper proposes the relaxed stabilization condition for the output-feedback Takagi-Sugeno (T-S) fuzzy control system. Most of previous papers have used the state-feedback fuzzy controller for the T-S fuzzy model based on parallel-distribution-compensation. However, the state-feedback fuzzy controller is sometimes difficult to be designed when some states are unavailable or inaccessible. This paper introduces the T-S fuzzy control method with the output-feedback fuzzy controller. Furthermore, to reduce the implementation costs caused by the complicated system membership functions, the output-feedback fuzzy controller is designed under the imperfect premise matching. However, the stabilization condition of the output-feedback fuzzy controller under the imperfect premise matching may be conservative. Therefore, for the relaxed condition, the fuzzy Lyapunov function is considered. Finally, the proposed approach is verified by the simulation.

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Lim HJ, Park JB, Joo YH. The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching. In 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016. Institute of Electrical and Electronics Engineers Inc. 2017. 8004944. (2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016). doi: 10.1109/iFUZZY.2016.8004944

The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching

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