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

Hyeon Jun Lim; Jin Bae Park; Young Hoon Joo

doi:10.1109/ICCAS.2016.7832445

The stabilization condition of continuous affine fuzzy 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

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 language	English
Title of host publication	ICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings
Publisher	IEEE Computer Society
Pages	1083-1086
Number of pages	4
ISBN (Electronic)	9788993215120
DOIs	https://doi.org/10.1109/ICCAS.2016.7832445
Publication status	Published - 2016 Jan 24
Event	16th International Conference on Control, Automation and Systems, ICCAS 2016 - Gyeongju, Korea, Republic of Duration: 2016 Oct 16 → 2016 Oct 19

Publication series

Name	International Conference on Control, Automation and Systems
Volume	0
ISSN (Print)	1598-7833

Other

Other	16th International Conference on Control, Automation and Systems, ICCAS 2016
Country/Territory	Korea, Republic of
City	Gyeongju
Period	16/10/16 → 16/10/19

Bibliographical note

Publisher Copyright:
© 2016 Institute of Control, Robotics and Systems - ICROS.

All Science Journal Classification (ASJC) codes

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

Access to Document

10.1109/ICCAS.2016.7832445

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

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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.",

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doi = "10.1109/ICCAS.2016.7832445",

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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 proceeding › Conference contribution

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T1 - The stabilization condition of continuous affine fuzzy systems under imperfect premise matching

AU - Lim, Hyeon Jun

AU - Park, Jin Bae

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N2 - 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.

AB - 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.

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

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