The stabilization condition of continuous affine fuzzy systems under imperfect premise matching

Hyeon Jun Lim, Jin Bae Park, Young Hoon Joo

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

Abstract

In this paper, the stabilization condition for the continuous time affine fuzzy system is proposed under the imperfect premise matching. The affine fuzzy system means that the Takagi-Sugeno (T-S) fuzzy system contains the constant bias terms unlike the homogeneous fuzzy system. The constant bias terms make difficult to analyze the characteristics of the affine fuzzy system. In order to solve this problem, this paper employs the specific transformation matrix related to the input matrix. Furthermore, the concept of the imperfect premise matching is considered to reduce the implementation cost caused by complicated membership functions. In other words, the affine fuzzy controller which does not share the membership functions of system is designed to obtain the stabilization condition of the affine fuzzy systems. Finally, the effectiveness of proposed approach is verified with a numerical example.

Original languageEnglish
Title of host publicationICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings
PublisherIEEE Computer Society
Pages1083-1086
Number of pages4
ISBN (Electronic)9788993215120
DOIs
Publication statusPublished - 2016 Jan 24
Event16th International Conference on Control, Automation and Systems, ICCAS 2016 - Gyeongju, Korea, Republic of
Duration: 2016 Oct 162016 Oct 19

Publication series

NameInternational Conference on Control, Automation and Systems
Volume0
ISSN (Print)1598-7833

Other

Other16th International Conference on Control, Automation and Systems, ICCAS 2016
CountryKorea, Republic of
CityGyeongju
Period16/10/1616/10/19

Fingerprint

Fuzzy systems
Stabilization
Membership functions
Controllers
Costs

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Lim, H. J., Park, J. B., & Joo, Y. H. (2016). The stabilization condition of continuous affine fuzzy systems under imperfect premise matching. In ICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings (pp. 1083-1086). [7832445] (International Conference on Control, Automation and Systems; Vol. 0). IEEE Computer Society. https://doi.org/10.1109/ICCAS.2016.7832445
Lim, Hyeon Jun ; Park, Jin Bae ; Joo, Young Hoon. / The stabilization condition of continuous affine fuzzy systems under imperfect premise matching. ICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings. IEEE Computer Society, 2016. pp. 1083-1086 (International Conference on Control, Automation and Systems).
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Lim, HJ, Park, JB & Joo, YH 2016, The stabilization condition of continuous affine fuzzy systems under imperfect premise matching. in ICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings., 7832445, International Conference on Control, Automation and Systems, vol. 0, IEEE Computer Society, pp. 1083-1086, 16th International Conference on Control, Automation and Systems, ICCAS 2016, Gyeongju, Korea, Republic of, 16/10/16. https://doi.org/10.1109/ICCAS.2016.7832445

The stabilization condition of continuous affine fuzzy systems under imperfect premise matching. / Lim, Hyeon Jun; Park, Jin Bae; Joo, Young Hoon.

ICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings. IEEE Computer Society, 2016. p. 1083-1086 7832445 (International Conference on Control, Automation and Systems; Vol. 0).

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

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Lim HJ, Park JB, Joo YH. The stabilization condition of continuous affine fuzzy systems under imperfect premise matching. In ICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings. IEEE Computer Society. 2016. p. 1083-1086. 7832445. (International Conference on Control, Automation and Systems). https://doi.org/10.1109/ICCAS.2016.7832445