NDLI: Sufficient conditions for absolute stability and optimization using Genetic Algorithms of specific class Mamdani Fuzzy Logic State Variable Controllers

Content Provider	IEEE Xplore Digital Library
Author	Jakub, O. Naser, P. Zenan, S.
Copyright Year	2008
Description	Author affiliation: Fac. of Electr. Eng., Tuzla Univ., Tuzla (Jakub, O.; Naser, P.; Zenan, S.)
Abstract	This paper has proposed a specific class of multiple input single output (MISO) Mamdani fuzzy logic state variable controllers (FLSVC) with triangle input membership functions, output membership functions with the same area, product fuzzy AND operator, sum fuzzy OR operator and centroid of area defuzzifier for control of stable Single Input Multiple Output (SIMO) linear time invariant systems. The proposed FLSVC in fact represents memoryless, nonlinear, locally Lipschitz mapping between its inputs and its output. According to the multivariable circle criterion for absolute stability, nonlinear part of the system must satisfy the sector condition. In this paper necessary and sufficient conditions have been determined, which must satisfy FLSVC parameters in order for the memoryless function represented by FLSVC to satisfy the sector condition. Subsequently, using the multivariable circle criterion, the sufficient conditions for absolute stability of feedback connected linear system and FLSVC have been determined. Based on the results achieved, an optimization method for both parameters and FLSVC decision rules has been proposed using genetic algorithms (GA).
Starting Page	391
Ending Page	397
File Size	174039
Page Count	7
File Format	PDF
ISBN	9787900719706
DOI	10.1109/CHICC.2008.4605708
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-07-16
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute Of Intelligence M&C Technical Of KMUST
Subject Keyword	Fuzzy logic Sufficient conditions Fuzzy control Stability criteria Switches Aerospace electronics Stability analysis Absolute stability Niobium Optimization Givens rotation Multivariable circle criterion
Content Type	Text
Resource Type	Article

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