Adaptive fuzzy control for strict-feedback canonical nonlinear systems with H tracking performance

Wei Yen Wang; Mei Lang Chan; Tsu Tian Lee; Cheng Hsin Liu

doi:10.1109/3477.891149

Adaptive fuzzy control for strict-feedback canonical nonlinear systems with H tracking performance

Wei Yen Wang^*, Mei Lang Chan, Tsu Tian Lee, Cheng Hsin Liu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

105 Citations (Scopus)

Abstract

In this paper, an adaptive fuzzy controller for strict-feedback canonical nonlinear systems is proposed. The completely unknown nonlinearities and disturbances of the systems are considered. Since fuzzy logic systems can uniformly approximate nonlinear continuous functions to arbitrary accuracy, the adaptive fuzzy control theory is employed to derive the control law for the strict-feedback system with unknown nonlinear functions and disturbances. Moreover, H_∞ tracking performance is applied to substantially attenuate the effect of the modeling errors and disturbances. Finally, examples are simulated to confirm the applicability of the proposed methods.

Original language	English
Pages (from-to)	878-885
Number of pages	8
Journal	IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Volume	30
Issue number	6
DOIs	https://doi.org/10.1109/3477.891149
Publication status	Published - 2000
Externally published	Yes

Keywords

Adaptive fuzzy control
Fuzzy logic system
H tracking performance
Strict-feedback system

ASJC Scopus subject areas

Control and Systems Engineering
Software
Information Systems
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/3477.891149

Cite this

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abstract = "In this paper, an adaptive fuzzy controller for strict-feedback canonical nonlinear systems is proposed. The completely unknown nonlinearities and disturbances of the systems are considered. Since fuzzy logic systems can uniformly approximate nonlinear continuous functions to arbitrary accuracy, the adaptive fuzzy control theory is employed to derive the control law for the strict-feedback system with unknown nonlinear functions and disturbances. Moreover, H∞ tracking performance is applied to substantially attenuate the effect of the modeling errors and disturbances. Finally, examples are simulated to confirm the applicability of the proposed methods.",

keywords = "Adaptive fuzzy control, Fuzzy logic system, H tracking performance, Strict-feedback system",

author = "Wang, {Wei Yen} and Chan, {Mei Lang} and Lee, {Tsu Tian} and Liu, {Cheng Hsin}",

note = "Funding Information: Manuscript received November 16, 1999; revised March 16, 2000; June 23, 2000. This work was supported by the National Science Council, Taiwan, under Grant NSC 87-2213-E-129-003. This paper was recommended by Associate Editor L. O. Hall.",

year = "2000",

doi = "10.1109/3477.891149",

language = "English",

volume = "30",

pages = "878--885",

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issn = "1083-4419",

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number = "6",

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T1 - Adaptive fuzzy control for strict-feedback canonical nonlinear systems with H tracking performance

AU - Wang, Wei Yen

AU - Chan, Mei Lang

AU - Lee, Tsu Tian

AU - Liu, Cheng Hsin

N1 - Funding Information: Manuscript received November 16, 1999; revised March 16, 2000; June 23, 2000. This work was supported by the National Science Council, Taiwan, under Grant NSC 87-2213-E-129-003. This paper was recommended by Associate Editor L. O. Hall.

PY - 2000

Y1 - 2000

N2 - In this paper, an adaptive fuzzy controller for strict-feedback canonical nonlinear systems is proposed. The completely unknown nonlinearities and disturbances of the systems are considered. Since fuzzy logic systems can uniformly approximate nonlinear continuous functions to arbitrary accuracy, the adaptive fuzzy control theory is employed to derive the control law for the strict-feedback system with unknown nonlinear functions and disturbances. Moreover, H∞ tracking performance is applied to substantially attenuate the effect of the modeling errors and disturbances. Finally, examples are simulated to confirm the applicability of the proposed methods.

AB - In this paper, an adaptive fuzzy controller for strict-feedback canonical nonlinear systems is proposed. The completely unknown nonlinearities and disturbances of the systems are considered. Since fuzzy logic systems can uniformly approximate nonlinear continuous functions to arbitrary accuracy, the adaptive fuzzy control theory is employed to derive the control law for the strict-feedback system with unknown nonlinear functions and disturbances. Moreover, H∞ tracking performance is applied to substantially attenuate the effect of the modeling errors and disturbances. Finally, examples are simulated to confirm the applicability of the proposed methods.

KW - Adaptive fuzzy control

KW - Fuzzy logic system

KW - H tracking performance

KW - Strict-feedback system

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Adaptive fuzzy control for strict-feedback canonical nonlinear systems with H tracking performance

Abstract

Keywords

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