Disturbance observer-based H∞ control of the T-S fuzzy model under imperfect premise matching

Sounghwan Hwang; Jin Bae Park; Young Hoon Joo

doi:10.1109/AIM.2018.8452222

Disturbance observer-based H_∞ control of the T-S fuzzy model under imperfect premise matching

Sounghwan Hwang, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

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

4 Citations (Scopus)

Abstract

In this paper, a disturbance observer based-control (DOBC) with H_∞ performance under imperfect premise matching method is proposed via the Takagi-Sugeno (T-S) fuzzy approach. Using the T-S fuzzy model, a sufficient condition for guaranteeing the H_∞ performance and asymptotic stability of closed-loop system with fuzzy disturbance observer (FDOB) and fuzzy controller is derived through linear matrix inequality (LMI). Unlike the previous studies using the parallel distributed compensation (PDC) method, the fuzzy controller designed under imperfect premise matching where the controller does not share the same membership functions from those of the fuzzy model. In addition, the external disturbance can be successfully estimated through FDOB. Therefore, the effect of the external disturbance can be reduced. Finally the simulation results for the inverted-pendulum system are provided to verify the effectiveness of the proposed design procedure.

Original language	English
Title of host publication	AIM 2018 - IEEE/ASME International Conference on Advanced Intelligent Mechatronics
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	622-627
Number of pages	6
ISBN (Print)	9781538618547
DOIs	https://doi.org/10.1109/AIM.2018.8452222
Publication status	Published - 2018 Aug 30
Event	2018 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2018 - Auckland, New Zealand Duration: 2018 Jul 9 → 2018 Jul 12

Publication series

Name	IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM
Volume	2018-July

Conference

Conference	2018 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2018
Country/Territory	New Zealand
City	Auckland
Period	18/7/9 → 18/7/12

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Control and Systems Engineering
Computer Science Applications
Software

Access to Document

10.1109/AIM.2018.8452222

Cite this

Hwang, S., Park, J. B., & Joo, Y. H. (2018). Disturbance observer-based H_∞ control of the T-S fuzzy model under imperfect premise matching. In AIM 2018 - IEEE/ASME International Conference on Advanced Intelligent Mechatronics (pp. 622-627). Article 8452222 (IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM; Vol. 2018-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/AIM.2018.8452222

Hwang, Sounghwan ; Park, Jin Bae ; Joo, Young Hoon. / Disturbance observer-based H_∞ control of the T-S fuzzy model under imperfect premise matching. AIM 2018 - IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 622-627 (IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM).

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abstract = "In this paper, a disturbance observer based-control (DOBC) with H∞ performance under imperfect premise matching method is proposed via the Takagi-Sugeno (T-S) fuzzy approach. Using the T-S fuzzy model, a sufficient condition for guaranteeing the H∞ performance and asymptotic stability of closed-loop system with fuzzy disturbance observer (FDOB) and fuzzy controller is derived through linear matrix inequality (LMI). Unlike the previous studies using the parallel distributed compensation (PDC) method, the fuzzy controller designed under imperfect premise matching where the controller does not share the same membership functions from those of the fuzzy model. In addition, the external disturbance can be successfully estimated through FDOB. Therefore, the effect of the external disturbance can be reduced. Finally the simulation results for the inverted-pendulum system are provided to verify the effectiveness of the proposed design procedure.",

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Hwang, S, Park, JB & Joo, YH 2018, Disturbance observer-based H_∞ control of the T-S fuzzy model under imperfect premise matching. in AIM 2018 - IEEE/ASME International Conference on Advanced Intelligent Mechatronics., 8452222, IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM, vol. 2018-July, Institute of Electrical and Electronics Engineers Inc., pp. 622-627, 2018 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2018, Auckland, New Zealand, 18/7/9. https://doi.org/10.1109/AIM.2018.8452222

Disturbance observer-based H_∞ control of the T-S fuzzy model under imperfect premise matching. / Hwang, Sounghwan; Park, Jin Bae; Joo, Young Hoon.
AIM 2018 - IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Institute of Electrical and Electronics Engineers Inc., 2018. p. 622-627 8452222 (IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM; Vol. 2018-July).

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

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Hwang S, Park JB, Joo YH. Disturbance observer-based H_∞ control of the T-S fuzzy model under imperfect premise matching. In AIM 2018 - IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Institute of Electrical and Electronics Engineers Inc. 2018. p. 622-627. 8452222. (IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM). doi: 10.1109/AIM.2018.8452222