Method for parameter identification of chaotic systems
The invention provides a method for parameter identification of chaotic systems for a class of chaotic systems with unknown partial parameters. The method takes the driving response structure as the framework, adopts the objective function related to the synchronization error of some state variables...
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creator | ZHAO BAISHAN ZHANG FAN |
description | The invention provides a method for parameter identification of chaotic systems for a class of chaotic systems with unknown partial parameters. The method takes the driving response structure as the framework, adopts the objective function related to the synchronization error of some state variables, and uses the directional pattern search method to adaptively adjust an unknown parameter until theobjective function value reaches the minimum, that is, the estimation of the product of the unknown parameters is realized; and the amplitude ratios of the corresponding state variables of the driving and response systems are calculated, and the ratios and the estimated values of the product of the parameters are combined to estimate each parameter. Theoretical analysis and experimental simulations show that the proposed method can estimate the unknown parameters of the chaotic system well, the structure is simple, the convergence speed is fast, the error is small, and the method can be usedfor the decryption of chao |
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The method takes the driving response structure as the framework, adopts the objective function related to the synchronization error of some state variables, and uses the directional pattern search method to adaptively adjust an unknown parameter until theobjective function value reaches the minimum, that is, the estimation of the product of the unknown parameters is realized; and the amplitude ratios of the corresponding state variables of the driving and response systems are calculated, and the ratios and the estimated values of the product of the parameters are combined to estimate each parameter. Theoretical analysis and experimental simulations show that the proposed method can estimate the unknown parameters of the chaotic system well, the structure is simple, the convergence speed is fast, the error is small, and the method can be usedfor the decryption of chao</description><language>chi ; eng</language><subject>CONTROL OR REGULATING SYSTEMS IN GENERAL ; CONTROLLING ; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS ; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS ORELEMENTS ; PHYSICS ; REGULATING</subject><creationdate>2018</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://worldwide.espacenet.com/publicationDetails/biblio?FT=D&date=20180810&DB=EPODOC&CC=CN&NR=108388120A$$EHTML$$P50$$Gepo$$Hfree_for_read</linktohtml><link.rule.ids>230,308,776,881,25542,76289</link.rule.ids><linktorsrc>$$Uhttps://worldwide.espacenet.com/publicationDetails/biblio?FT=D&date=20180810&DB=EPODOC&CC=CN&NR=108388120A$$EView_record_in_European_Patent_Office$$FView_record_in_$$GEuropean_Patent_Office$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>ZHAO BAISHAN</creatorcontrib><creatorcontrib>ZHANG FAN</creatorcontrib><title>Method for parameter identification of chaotic systems</title><description>The invention provides a method for parameter identification of chaotic systems for a class of chaotic systems with unknown partial parameters. The method takes the driving response structure as the framework, adopts the objective function related to the synchronization error of some state variables, and uses the directional pattern search method to adaptively adjust an unknown parameter until theobjective function value reaches the minimum, that is, the estimation of the product of the unknown parameters is realized; and the amplitude ratios of the corresponding state variables of the driving and response systems are calculated, and the ratios and the estimated values of the product of the parameters are combined to estimate each parameter. 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The method takes the driving response structure as the framework, adopts the objective function related to the synchronization error of some state variables, and uses the directional pattern search method to adaptively adjust an unknown parameter until theobjective function value reaches the minimum, that is, the estimation of the product of the unknown parameters is realized; and the amplitude ratios of the corresponding state variables of the driving and response systems are calculated, and the ratios and the estimated values of the product of the parameters are combined to estimate each parameter. Theoretical analysis and experimental simulations show that the proposed method can estimate the unknown parameters of the chaotic system well, the structure is simple, the convergence speed is fast, the error is small, and the method can be usedfor the decryption of chao</abstract><oa>free_for_read</oa></addata></record> |
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language | chi ; eng |
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subjects | CONTROL OR REGULATING SYSTEMS IN GENERAL CONTROLLING FUNCTIONAL ELEMENTS OF SUCH SYSTEMS MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS ORELEMENTS PHYSICS REGULATING |
title | Method for parameter identification of chaotic systems |
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