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

Research output: Chapter in Book/Report/Conference proceedingConference 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 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

Fuzzy Function
Output Feedback
Lyapunov functions
Fuzzy Controller
Fuzzy control
Fuzzy Control
Imperfect
Fuzzy Systems
Lyapunov Function
Feedback Control
Feedback control
Stabilization
Control System
Control systems
Controllers
Feedback
State feedback
State Feedback
Takagi-Sugeno Fuzzy Model
Membership functions

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Logic

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 proceedingConference contribution

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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). https://doi.org/10.1109/iFUZZY.2016.8004944