Settling time | EPFL Graph Search

Êtes-vous un étudiant de l'EPFL à la recherche d'un projet de semestre?

Travaillez avec nous sur des projets en science des données et en visualisation, et déployez votre projet sous forme d'application sur GraphSearch.

Découvrez-en plus sur les applications Graph.

In control theory the settling time of a dynamical system such as an amplifier or other output device is the time elapsed from the application of an ideal instantaneous step input to the time at which the amplifier output has entered and remained within a specified error band. Settling time includes a propagation delay, plus the time required for the output to slew to the vicinity of the final value, recover from the overload condition associated with slew, and finally settle to within the specified error. Systems with energy storage cannot respond instantaneously and will exhibit transient responses when they are subjected to inputs or disturbances. Tay, Mareels and Moore (1998) defined settling time as "the time required for the response curve to reach and stay within a range of certain percentage (usually 5% or 2%) of the final value." Settling time depends on the system response and natural frequency. The settling time for a second order, underdamped system responding to a step response can be approximated if the damping ratio by A general form is Thus, if the damping ratio , settling time to within 2% = 0.

À propos de ce résultat

Cette page est générée automatiquement et peut contenir des informations qui ne sont pas correctes, complètes, à jour ou pertinentes par rapport à votre recherche. Il en va de même pour toutes les autres pages de ce site. Veillez à vérifier les informations auprès des sources officielles de l'EPFL.

Concepts associés (5)

Cours associés (2)

Séances de cours associées (26)

Systèmes de deuxième ordre : analyse des réponses ME-321: Control systems + TP

Analyse la réponse des systèmes de second ordre à différentes entrées et explore la signification des emplacements des pôles dans la détermination du comportement du système.

Effets des pôles et des zéros sur la réponse du système ME-326: Control systems and discrete-time control

Explore les effets des pôles et des zéros sur la réponse du système et l'importance de la modélisation du système et des stratégies de contrôle.

Analyse du système dans le domaine temporel ME-221: Dynamical systems

Explore l'analyse des systèmes dans le domaine temporel, couvrant les systèmes de premier et de deuxième ordre, la stabilité et la réponse transitoire.

ME-321: Control systems + TP

Provides the students with basic notions and tools for the analysis and control of dynamic systems. Shows them how to design controllers and analyze the performance of controlled systems.

ME-221: Dynamical systems

Provides the students with basic notions and tools for the analysis of dynamic systems. Shows them how to develop mathematical models of dynamic systems and perform analysis in time and frequency doma

Overshoot (signal)

In signal processing, control theory, electronics, and mathematics, overshoot is the occurrence of a signal or function exceeding its target. Undershoot is the same phenomenon in the opposite direction. It arises especially in the step response of bandlimited systems such as low-pass filters. It is often followed by ringing, and at times conflated with the latter. Maximum overshoot is defined in Katsuhiko Ogata's Discrete-time control systems as "the maximum peak value of the response curve measured from the desired response of the system.

Settling time

Rise time

In electronics, when describing a voltage or current step function, rise time is the time taken by a signal to change from a specified low value to a specified high value. These values may be expressed as ratios or, equivalently, as percentages with respect to a given reference value. In analog electronics and digital electronics, these percentages are commonly the 10% and 90% (or equivalently 0.1 and 0.9) of the output step height: however, other values are commonly used.