Stability analysis of SIRMs dynamically connected fuzzy inference model

Jianqiang Yi; Naoyoshi Yubazaki; Kaoru Hirota

doi:10.1109/FUZZ.2001.1007267

Stability analysis of SIRMs dynamically connected fuzzy inference model

Jianqiang Yi, Naoyoshi Yubazaki, Kaoru Hirota

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

2 Citations (Scopus)

Abstract

A stability analysis approach for a class of fuzzy controllers based on the Single Input Rule Modules (SIRMs) dynamically connected fuzzy inference model is proposed. It is proved that such a fuzzy controller can be approximately changed into a linear state feedback controller near an equilibrium point if each SIRM has a property of linear input-output mapping. Then linear state feedback control theories can be used to solve the stability problem. The proposed approach is applied to stabilization control of inverted pendulum system and the stability analysis results agree completely with the control results.

Original language	English
Pages (from-to)	143-146
Number of pages	4
Journal	IEEE International Conference on Fuzzy Systems
Volume	1
DOIs	https://doi.org/10.1109/FUZZ.2001.1007267
Publication status	Published - 2001
Externally published	Yes

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10.1109/FUZZ.2001.1007267

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abstract = "A stability analysis approach for a class of fuzzy controllers based on the Single Input Rule Modules (SIRMs) dynamically connected fuzzy inference model is proposed. It is proved that such a fuzzy controller can be approximately changed into a linear state feedback controller near an equilibrium point if each SIRM has a property of linear input-output mapping. Then linear state feedback control theories can be used to solve the stability problem. The proposed approach is applied to stabilization control of inverted pendulum system and the stability analysis results agree completely with the control results.",

author = "Jianqiang Yi and Naoyoshi Yubazaki and Kaoru Hirota",

year = "2001",

doi = "10.1109/FUZZ.2001.1007267",

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journal = "IEEE International Conference on Fuzzy Systems",

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AU - Yubazaki, Naoyoshi

AU - Hirota, Kaoru

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N2 - A stability analysis approach for a class of fuzzy controllers based on the Single Input Rule Modules (SIRMs) dynamically connected fuzzy inference model is proposed. It is proved that such a fuzzy controller can be approximately changed into a linear state feedback controller near an equilibrium point if each SIRM has a property of linear input-output mapping. Then linear state feedback control theories can be used to solve the stability problem. The proposed approach is applied to stabilization control of inverted pendulum system and the stability analysis results agree completely with the control results.

AB - A stability analysis approach for a class of fuzzy controllers based on the Single Input Rule Modules (SIRMs) dynamically connected fuzzy inference model is proposed. It is proved that such a fuzzy controller can be approximately changed into a linear state feedback controller near an equilibrium point if each SIRM has a property of linear input-output mapping. Then linear state feedback control theories can be used to solve the stability problem. The proposed approach is applied to stabilization control of inverted pendulum system and the stability analysis results agree completely with the control results.

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DO - 10.1109/FUZZ.2001.1007267

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VL - 1

SP - 143

EP - 146

JO - IEEE International Conference on Fuzzy Systems

JF - IEEE International Conference on Fuzzy Systems

ER -

Stability analysis of SIRMs dynamically connected fuzzy inference model

Abstract

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