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Restricted Parameter Space Estimation Problems: Admissibility and Minimaxity Properties

Constance van Eeden

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Statistical Theory and Methods

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-33747-0

ISBN electrónico

978-0-387-48809-7

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer Science+Business Media, LLC 2006

Tabla de contenidos

Introduction: Some history and some examples

Constance van Eeden

In this chapter the integrator windup effect in the context of PID controllers has been analysed and different anti-windup techniques have been presented and compared.

Actually, all the considered methods are effective and each one has particular features that should be taken into account in a given application (indeed, there is not a technique that performs better than the others for all the kind of processes, PID parameters and actuator limits). From one point of view, the conditional integration approach has the advantage of being without an additional tuning parameter, but, from another point of view, the back-calculation methodology provides the capability to influence the transient response through the tuning of the tracking time constant (namely, a less aggressive response can be imposed by lowering the value of ). The combined approach seems to be less sensitive to the characteristics of the process. The two techniques considered for the PI(D) controller in automatic reset configuration do not show particular differences. With respect to them, a significant improvement in the performance does not actually emerges by applying the VSPID or the preload technique, despite they present a tuning parameter.

Pp. 1-3

A statement of the problem, the notation and some definitions

Constance van Eeden

In this chapter the integrator windup effect in the context of PID controllers has been analysed and different anti-windup techniques have been presented and compared.

Actually, all the considered methods are effective and each one has particular features that should be taken into account in a given application (indeed, there is not a technique that performs better than the others for all the kind of processes, PID parameters and actuator limits). From one point of view, the conditional integration approach has the advantage of being without an additional tuning parameter, but, from another point of view, the back-calculation methodology provides the capability to influence the transient response through the tuning of the tracking time constant (namely, a less aggressive response can be imposed by lowering the value of ). The combined approach seems to be less sensitive to the characteristics of the process. The two techniques considered for the PI(D) controller in automatic reset configuration do not show particular differences. With respect to them, a significant improvement in the performance does not actually emerges by applying the VSPID or the preload technique, despite they present a tuning parameter.

Pp. 5-14

(In)admissibility and dominators

Constance van Eeden

In this chapter the integrator windup effect in the context of PID controllers has been analysed and different anti-windup techniques have been presented and compared.

Actually, all the considered methods are effective and each one has particular features that should be taken into account in a given application (indeed, there is not a technique that performs better than the others for all the kind of processes, PID parameters and actuator limits). From one point of view, the conditional integration approach has the advantage of being without an additional tuning parameter, but, from another point of view, the back-calculation methodology provides the capability to influence the transient response through the tuning of the tracking time constant (namely, a less aggressive response can be imposed by lowering the value of ). The combined approach seems to be less sensitive to the characteristics of the process. The two techniques considered for the PI(D) controller in automatic reset configuration do not show particular differences. With respect to them, a significant improvement in the performance does not actually emerges by applying the VSPID or the preload technique, despite they present a tuning parameter.

Pp. 15-31

Minimax estimators and their admissibility

Constance van Eeden

In this chapter the integrator windup effect in the context of PID controllers has been analysed and different anti-windup techniques have been presented and compared.

Actually, all the considered methods are effective and each one has particular features that should be taken into account in a given application (indeed, there is not a technique that performs better than the others for all the kind of processes, PID parameters and actuator limits). From one point of view, the conditional integration approach has the advantage of being without an additional tuning parameter, but, from another point of view, the back-calculation methodology provides the capability to influence the transient response through the tuning of the tracking time constant (namely, a less aggressive response can be imposed by lowering the value of ). The combined approach seems to be less sensitive to the characteristics of the process. The two techniques considered for the PI(D) controller in automatic reset configuration do not show particular differences. With respect to them, a significant improvement in the performance does not actually emerges by applying the VSPID or the preload technique, despite they present a tuning parameter.

Pp. 33-67

Presence of nuisance parameters

Constance van Eeden

In this chapter the integrator windup effect in the context of PID controllers has been analysed and different anti-windup techniques have been presented and compared.

Actually, all the considered methods are effective and each one has particular features that should be taken into account in a given application (indeed, there is not a technique that performs better than the others for all the kind of processes, PID parameters and actuator limits). From one point of view, the conditional integration approach has the advantage of being without an additional tuning parameter, but, from another point of view, the back-calculation methodology provides the capability to influence the transient response through the tuning of the tracking time constant (namely, a less aggressive response can be imposed by lowering the value of ). The combined approach seems to be less sensitive to the characteristics of the process. The two techniques considered for the PI(D) controller in automatic reset configuration do not show particular differences. With respect to them, a significant improvement in the performance does not actually emerges by applying the VSPID or the preload technique, despite they present a tuning parameter.

Pp. 69-101

The linear model

Constance van Eeden

In this chapter the integrator windup effect in the context of PID controllers has been analysed and different anti-windup techniques have been presented and compared.

Actually, all the considered methods are effective and each one has particular features that should be taken into account in a given application (indeed, there is not a technique that performs better than the others for all the kind of processes, PID parameters and actuator limits). From one point of view, the conditional integration approach has the advantage of being without an additional tuning parameter, but, from another point of view, the back-calculation methodology provides the capability to influence the transient response through the tuning of the tracking time constant (namely, a less aggressive response can be imposed by lowering the value of ). The combined approach seems to be less sensitive to the characteristics of the process. The two techniques considered for the PI(D) controller in automatic reset configuration do not show particular differences. With respect to them, a significant improvement in the performance does not actually emerges by applying the VSPID or the preload technique, despite they present a tuning parameter.

Pp. 103-113

Other properties

Constance van Eeden

In this chapter the integrator windup effect in the context of PID controllers has been analysed and different anti-windup techniques have been presented and compared.

Actually, all the considered methods are effective and each one has particular features that should be taken into account in a given application (indeed, there is not a technique that performs better than the others for all the kind of processes, PID parameters and actuator limits). From one point of view, the conditional integration approach has the advantage of being without an additional tuning parameter, but, from another point of view, the back-calculation methodology provides the capability to influence the transient response through the tuning of the tracking time constant (namely, a less aggressive response can be imposed by lowering the value of ). The combined approach seems to be less sensitive to the characteristics of the process. The two techniques considered for the PI(D) controller in automatic reset configuration do not show particular differences. With respect to them, a significant improvement in the performance does not actually emerges by applying the VSPID or the preload technique, despite they present a tuning parameter.

Pp. 115-129

Existence of MLEs and algorithms to compute them

Constance van Eeden

In this chapter the integrator windup effect in the context of PID controllers has been analysed and different anti-windup techniques have been presented and compared.

Actually, all the considered methods are effective and each one has particular features that should be taken into account in a given application (indeed, there is not a technique that performs better than the others for all the kind of processes, PID parameters and actuator limits). From one point of view, the conditional integration approach has the advantage of being without an additional tuning parameter, but, from another point of view, the back-calculation methodology provides the capability to influence the transient response through the tuning of the tracking time constant (namely, a less aggressive response can be imposed by lowering the value of ). The combined approach seems to be less sensitive to the characteristics of the process. The two techniques considered for the PI(D) controller in automatic reset configuration do not show particular differences. With respect to them, a significant improvement in the performance does not actually emerges by applying the VSPID or the preload technique, despite they present a tuning parameter.

Pp. 131-142