Presentation 1994/12/16
On Time-Domain Stability Criteria for Nonlinear Systems with Fuzzy Controller
Xihong Wang, Tadashi Matsumoto,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper,time-domain stability analyses on nonlinear control systems with various types of fuzzy controllers are discussed,in which a new BIBO stability criterion and a new global asymptotic stability criterion are used based on both boundedness and asymptoticity for solutions of the set of nonlinear inequalities with respect to characteristic quantities such as the quadrant components of multi-dimensional input-output space of a fuzzy controller,positive or negative area of an impulse response of a linear control object,and so on. Stability analyses for nonlinear control systems with a two- input and one-output fuzzy controller through three typical reasoning methods,i.e.,the min-max-center of gravity method,the functional reasoning method,and the product-sum-center of gravity method,are shown comparing the results due to the proposed method with those owing to other known stability criteria. As a result of the above,it is assured that the proposed method is systematically applied to every type of controllers with various reasoning methods and is also superior in stability ranges owing to the essential property of this proposed method.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) fuzzy controller / nonlinear control system / BIBO stability / global asymptotic stability
Paper # NLP94-82
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Conference Information
Committee NLP
Conference Date 1994/12/16(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Time-Domain Stability Criteria for Nonlinear Systems with Fuzzy Controller
Sub Title (in English)
Keyword(1) fuzzy controller
Keyword(2) nonlinear control system
Keyword(3) BIBO stability
Keyword(4) global asymptotic stability
1st Author's Name Xihong Wang
1st Author's Affiliation Fukui University()
2nd Author's Name Tadashi Matsumoto
2nd Author's Affiliation Fukui University
Date 1994/12/16
Paper # NLP94-82
Volume (vol) vol.94
Number (no) 418
Page pp.pp.-
#Pages 8
Date of Issue