The output regulation of T-S fuzzy systems using integral fuzzy controller

Han Sol Kim, Jin Bae Park, Young Hoon Joo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper provides systematic design procedures for output regulation of Takagi-Sugeno fuzzy systems using an integral fuzzy controller. Instead of a conventional PDC controller, the integral fuzzy controller is adopted to minimize the steady-state error on the output of the given system. Sufficient conditions for the output regulation problem are derived in the sense of Lyapunov, and these are formulated in the format of linear matrix inequalities. Furthermore, the decay rate of the Lyapunov function is also considered in this paper so that one can adjust the output regulation response of the given system. Finally, the effectiveness of the proposed design procedures is demonstrated through numerical simulations on the output regulation of the Lorenz's chaotic system.

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

T-S Fuzzy Systems
Output Regulation
Fuzzy systems
Fuzzy Controller
Controllers
Chaotic systems
Lyapunov functions
Linear matrix inequalities
Takagi-Sugeno Fuzzy Systems
Lorenz System
Decay Rate
Lyapunov Function
Chaotic System
Lyapunov
Matrix Inequality
Linear Inequalities
Computer simulation
Minimise
Controller
Numerical Simulation

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Logic

Cite this

Kim, H. S., Park, J. B., & Joo, Y. H. (2017). The output regulation of T-S fuzzy systems using integral fuzzy controller. In 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016 [8004939] (2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/iFUZZY.2016.8004939
Kim, Han Sol ; Park, Jin Bae ; Joo, Young Hoon. / The output regulation of T-S fuzzy systems using integral fuzzy controller. 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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Kim, HS, Park, JB & Joo, YH 2017, The output regulation of T-S fuzzy systems using integral fuzzy controller. in 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016., 8004939, 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.2016.8004939

The output regulation of T-S fuzzy systems using integral fuzzy controller. / Kim, Han Sol; 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. 8004939 (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 - This paper provides systematic design procedures for output regulation of Takagi-Sugeno fuzzy systems using an integral fuzzy controller. Instead of a conventional PDC controller, the integral fuzzy controller is adopted to minimize the steady-state error on the output of the given system. Sufficient conditions for the output regulation problem are derived in the sense of Lyapunov, and these are formulated in the format of linear matrix inequalities. Furthermore, the decay rate of the Lyapunov function is also considered in this paper so that one can adjust the output regulation response of the given system. Finally, the effectiveness of the proposed design procedures is demonstrated through numerical simulations on the output regulation of the Lorenz's chaotic system.

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Kim HS, Park JB, Joo YH. The output regulation of T-S fuzzy systems using integral fuzzy controller. In 2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016. Institute of Electrical and Electronics Engineers Inc. 2017. 8004939. (2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016). https://doi.org/10.1109/iFUZZY.2016.8004939