Decentralized stabilization of H∞ fuzzy control for nonlinear multiple time-delay interconnected systems

Feng Hsiag Hsiao; Sheng Dong Xu; Chia Yen Lin; Yu Jun Chou; Yu Ching Chen

doi:10.1111/j.1934-6093.2007.tb00313.x

Decentralized stabilization of H^∞ fuzzy control for nonlinear multiple time-delay interconnected systems

Feng Hsiag Hsiao^*
, Sheng Dong Xu
, Chia Yen Lin
, Yu Jun Chou
, Yu Ching Chen

^*Corresponding author for this work

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

4 Scopus citations

Abstract

A robustness design of H^∞ fuzzy control is proposed in this paper to overcome the effect of modeling errors between nonlinear multiple time-delay systems and fuzzy models. In terms of Lyapunov's direct method, a stability criterion is derived to guarantee the UUB (uniformly ultimately bounded) stability of nonlinear multiple time-delay interconnected systems with disturbances. Based on this criterion and the decentralized control scheme, a set of fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay interconnected systems and the H^∞ control performance is achieved in the mean time.

Original language	English
Pages (from-to)	104-110
Number of pages	7
Journal	Asian Journal of Control
Volume	9
Issue number	1
DOIs	https://doi.org/10.1111/j.1934-6093.2007.tb00313.x
State	Published - 03 2007
Externally published	Yes

Keywords

Fuzzy control.
Interconnected systems
T-S fuzzy models
Time delay

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10.1111/j.1934-6093.2007.tb00313.x

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title = "Decentralized stabilization of H∞ fuzzy control for nonlinear multiple time-delay interconnected systems",

abstract = "A robustness design of H∞ fuzzy control is proposed in this paper to overcome the effect of modeling errors between nonlinear multiple time-delay systems and fuzzy models. In terms of Lyapunov's direct method, a stability criterion is derived to guarantee the UUB (uniformly ultimately bounded) stability of nonlinear multiple time-delay interconnected systems with disturbances. Based on this criterion and the decentralized control scheme, a set of fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay interconnected systems and the H∞ control performance is achieved in the mean time.",

keywords = "Fuzzy control., Interconnected systems, T-S fuzzy models, Time delay",

author = "Hsiao, \{Feng Hsiag\} and Xu, \{Sheng Dong\} and Lin, \{Chia Yen\} and Chou, \{Yu Jun\} and Chen, \{Yu Ching\}",

year = "2007",

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doi = "10.1111/j.1934-6093.2007.tb00313.x",

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T1 - Decentralized stabilization of H∞ fuzzy control for nonlinear multiple time-delay interconnected systems

AU - Hsiao, Feng Hsiag

AU - Xu, Sheng Dong

AU - Lin, Chia Yen

AU - Chou, Yu Jun

AU - Chen, Yu Ching

PY - 2007/3

Y1 - 2007/3

N2 - A robustness design of H∞ fuzzy control is proposed in this paper to overcome the effect of modeling errors between nonlinear multiple time-delay systems and fuzzy models. In terms of Lyapunov's direct method, a stability criterion is derived to guarantee the UUB (uniformly ultimately bounded) stability of nonlinear multiple time-delay interconnected systems with disturbances. Based on this criterion and the decentralized control scheme, a set of fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay interconnected systems and the H∞ control performance is achieved in the mean time.

AB - A robustness design of H∞ fuzzy control is proposed in this paper to overcome the effect of modeling errors between nonlinear multiple time-delay systems and fuzzy models. In terms of Lyapunov's direct method, a stability criterion is derived to guarantee the UUB (uniformly ultimately bounded) stability of nonlinear multiple time-delay interconnected systems with disturbances. Based on this criterion and the decentralized control scheme, a set of fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay interconnected systems and the H∞ control performance is achieved in the mean time.

KW - Fuzzy control.

KW - Interconnected systems

KW - T-S fuzzy models

KW - Time delay

UR - https://www.scopus.com/pages/publications/34248372482

U2 - 10.1111/j.1934-6093.2007.tb00313.x

DO - 10.1111/j.1934-6093.2007.tb00313.x

M3 - 文章

AN - SCOPUS:34248372482

SN - 1561-8625

VL - 9

SP - 104

EP - 110

JO - Asian Journal of Control

JF - Asian Journal of Control

IS - 1

ER -

Decentralized stabilization of H^∞ fuzzy control for nonlinear multiple time-delay interconnected systems

Abstract

Keywords

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