MIMO robust control via T-S fuzzy models for nonaffine nonlinear systems

Wei Yen Wang; Li Chuan Chien; I. Hsum Li; Shun Feng Su

doi:10.1109/FUZZY.2007.4295408

MIMO robust control via T-S fuzzy models for nonaffine nonlinear systems

Wei Yen Wang^*, Li Chuan Chien, I. Hsum Li, Shun Feng Su

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

This paper proposes on-line modeling via Takagi-Sugeno (T-S) fuzzy models and robust adaptive control for a class of generalized multiple input multiple output (MIMO) nonlinear dynamic systems with external disturbances. The T-S fuzzy model is established to approximate the nonaffine nonlinear dynamic system in a linearized way and is used to be an error compensator for external disturbances and system uncertainly, i.e. the unmodeled dynamics, modeling errors and external disturbances. In second type adaptive laws, fuzzy B-spline membership functions (BMFs) are developed for on-line tuning. In this paper, we can prove that the closed-loop system which is controlled by the proposed controller is stable and the tracking error will converge to zero.

Original language	English
Title of host publication	2007 IEEE International Conference on Fuzzy Systems, FUZZY
DOIs	https://doi.org/10.1109/FUZZY.2007.4295408
Publication status	Published - 2007
Externally published	Yes
Event	2007 IEEE International Conference on Fuzzy Systems, FUZZY - London, United Kingdom Duration: 2007 Jul 23 → 2007 Jul 26

Publication series

Name	IEEE International Conference on Fuzzy Systems
ISSN (Print)	1098-7584

Other

Other	2007 IEEE International Conference on Fuzzy Systems, FUZZY
Country/Territory	United Kingdom
City	London
Period	2007/07/23 → 2007/07/26

Keywords

MIMO
Nonaffine nonlinear systems
T-S fuzzy model

ASJC Scopus subject areas

Software
Theoretical Computer Science
Artificial Intelligence
Applied Mathematics

Access to Document

10.1109/FUZZY.2007.4295408

Cite this

Wang, WY, Chien, LC, Li, IH & Su, SF 2007, MIMO robust control via T-S fuzzy models for nonaffine nonlinear systems. in 2007 IEEE International Conference on Fuzzy Systems, FUZZY., 4295408, IEEE International Conference on Fuzzy Systems, 2007 IEEE International Conference on Fuzzy Systems, FUZZY, London, United Kingdom, 2007/07/23. https://doi.org/10.1109/FUZZY.2007.4295408

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title = "MIMO robust control via T-S fuzzy models for nonaffine nonlinear systems",

abstract = "This paper proposes on-line modeling via Takagi-Sugeno (T-S) fuzzy models and robust adaptive control for a class of generalized multiple input multiple output (MIMO) nonlinear dynamic systems with external disturbances. The T-S fuzzy model is established to approximate the nonaffine nonlinear dynamic system in a linearized way and is used to be an error compensator for external disturbances and system uncertainly, i.e. the unmodeled dynamics, modeling errors and external disturbances. In second type adaptive laws, fuzzy B-spline membership functions (BMFs) are developed for on-line tuning. In this paper, we can prove that the closed-loop system which is controlled by the proposed controller is stable and the tracking error will converge to zero.",

keywords = "MIMO, Nonaffine nonlinear systems, T-S fuzzy model",

author = "Wang, {Wei Yen} and Chien, {Li Chuan} and Li, {I. Hsum} and Su, {Shun Feng}",

year = "2007",

doi = "10.1109/FUZZY.2007.4295408",

language = "English",

isbn = "1424412102",

series = "IEEE International Conference on Fuzzy Systems",

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note = "2007 IEEE International Conference on Fuzzy Systems, FUZZY ; Conference date: 23-07-2007 Through 26-07-2007",

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AU - Wang, Wei Yen

AU - Chien, Li Chuan

AU - Li, I. Hsum

AU - Su, Shun Feng

PY - 2007

Y1 - 2007

N2 - This paper proposes on-line modeling via Takagi-Sugeno (T-S) fuzzy models and robust adaptive control for a class of generalized multiple input multiple output (MIMO) nonlinear dynamic systems with external disturbances. The T-S fuzzy model is established to approximate the nonaffine nonlinear dynamic system in a linearized way and is used to be an error compensator for external disturbances and system uncertainly, i.e. the unmodeled dynamics, modeling errors and external disturbances. In second type adaptive laws, fuzzy B-spline membership functions (BMFs) are developed for on-line tuning. In this paper, we can prove that the closed-loop system which is controlled by the proposed controller is stable and the tracking error will converge to zero.

AB - This paper proposes on-line modeling via Takagi-Sugeno (T-S) fuzzy models and robust adaptive control for a class of generalized multiple input multiple output (MIMO) nonlinear dynamic systems with external disturbances. The T-S fuzzy model is established to approximate the nonaffine nonlinear dynamic system in a linearized way and is used to be an error compensator for external disturbances and system uncertainly, i.e. the unmodeled dynamics, modeling errors and external disturbances. In second type adaptive laws, fuzzy B-spline membership functions (BMFs) are developed for on-line tuning. In this paper, we can prove that the closed-loop system which is controlled by the proposed controller is stable and the tracking error will converge to zero.

KW - MIMO

KW - Nonaffine nonlinear systems

KW - T-S fuzzy model

UR - http://www.scopus.com/inward/record.url?scp=50249137867&partnerID=8YFLogxK

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SN - 1424412102

SN - 9781424412105

T3 - IEEE International Conference on Fuzzy Systems

BT - 2007 IEEE International Conference on Fuzzy Systems, FUZZY

T2 - 2007 IEEE International Conference on Fuzzy Systems, FUZZY

Y2 - 23 July 2007 through 26 July 2007

ER -

MIMO robust control via T-S fuzzy models for nonaffine nonlinear systems

Abstract

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Keywords

ASJC Scopus subject areas

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