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Area Control technology / Types of control

IEV ref351-47-41

en
optimal control
type of control for which the performance index reaches a largest or smallest value under specified conditions

Note 1 to entry: Performance index is a mathematical expression which characterises the quality of control under given conditions.

Note 2 to entry: The determination of optimal control parameters frequently results from minimising integral criteria which are often called control areas from the geometric interpretation of the integral. The most important ones are:

I IAE = 0 | e( t ) | dt MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadMeadaWgaaWcbaGaaeysaiaabgeacaqGfbaabeaakiabg2da9maapehabaWaaqWaaeaacaWGLbWaaeWaaeaacaWG0baacaGLOaGaayzkaaaacaGLhWUaayjcSdaaleaacaaIWaaabaGaeyOhIukaniabgUIiYdGccqGHflY1caqGKbGaamiDaaaa@4908@ Criterion of Integral Absolute Error

I ISE = 0 e 2 ( t ) dt MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadMeadaWgaaWcbaGaaeysaiaabofacaqGfbaabeaakiabg2da9maapehabaGaamyzamaaCaaaleqabaGaaGOmaaaakmaabmaabaGaamiDaaGaayjkaiaawMcaaaWcbaGaaGimaaqaaiabg6HiLcqdcqGHRiI8aOGaeyyXICTaaeizaiaadshaaaa@46EB@ Criterion of Integral Squared Error

I ITAE = 0 t| e( t ) | dt MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadMeadaWgaaWcbaGaaeysaiaabsfacaqGbbGaaeyraaqabaGccqGH9aqpdaWdXbqaaiaadshacqGHflY1daabdaqaaiaadwgadaqadaqaaiaadshaaiaawIcacaGLPaaaaiaawEa7caGLiWoaaSqaaiaaicdaaeaacqGHEisPa0Gaey4kIipakiabgwSixlaabsgacaWG0baaaa@4D22@ Criterion of Integral of Time multiplied Absolute value of Error

Therein e(t) is the control difference variable as a function of time as answer to an input appropriate to the technological task, for example a response to a stepwise change of the reference variable.

Note 3 to entry: This entry was numbered 351-26-35 in IEC 60050-351:2006.


fr
régulation optimale, f
type de régulation pour laquelle l'indice de performance atteint une plus grande valeur ou une plus petite valeur, sous certaines conditions spécifiées

Note 1 à l’article: L'indice de performance est une expression mathématique qui caractérise la qualité de la commande dans des conditions données.

Note 2 à l’article: La détermination des paramètres de commande optimaux est fréquemment le résultat de la minimisation des critères intégraux qui sont souvent appelés "zones de commande" à partir de l'interprétation géométrique de l'intégrale. Les plus importantes sont:

I IAE = 0 | e( t ) | dt MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadMeadaWgaaWcbaGaaeysaiaabgeacaqGfbaabeaakiabg2da9maapehabaWaaqWaaeaacaWGLbWaaeWaaeaacaWG0baacaGLOaGaayzkaaaacaGLhWUaayjcSdaaleaacaaIWaaabaGaeyOhIukaniabgUIiYdGccqGHflY1caqGKbGaamiDaaaa@4908@ Critère pour l'intégrale de l'erreur absolue (Integral Absolute Error)

I ISE = 0 e 2 ( t ) dt MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadMeadaWgaaWcbaGaaeysaiaabofacaqGfbaabeaakiabg2da9maapehabaGaamyzamaaCaaaleqabaGaaGOmaaaakmaabmaabaGaamiDaaGaayjkaiaawMcaaaWcbaGaaGimaaqaaiabg6HiLcqdcqGHRiI8aOGaeyyXICTaaeizaiaadshaaaa@46EB@ Critère pour l'intégrale de l'erreur quadratique (Integral Squared Error)

I ITAE = 0 t| e( t ) | dt MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadMeadaWgaaWcbaGaaeysaiaabsfacaqGbbGaaeyraaqabaGccqGH9aqpdaWdXbqaaiaadshacqGHflY1daabdaqaaiaadwgadaqadaqaaiaadshaaiaawIcacaGLPaaaaiaawEa7caGLiWoaaSqaaiaaicdaaeaacqGHEisPa0Gaey4kIipakiabgwSixlaabsgacaWG0baaaa@4D22@ Critère pour l'intégrale du temps multiplié par la valeur absolue de l'erreur (Integral of Time multiplied Absolute value of Error)

Ci-dessus, e(t) est la variable de différence de régulation en fonction du temps et répond à une entrée appropriée à la tâche technique, par exemple une réponse à une variation en échelon de la variable de référence.

Note 3 à l'article: Cet article était numéroté 351-26-35 dans la CEI 60050-351:2006.


ar
التحكم الأمثل

de
optimale Regelung, f

es
control óptimo, m

fi
optimisäätö

it
controllo ottimale

ko
최적 제어

ja
最適制御

pl
regulacja optymalna

pt
controlo ótimo

zh
最优控制

Publication date: 2013-11
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