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Using a D-controller to regulate an underdamped second-order process, what will happen given a step input? Final output y'(t) is zero O No correct answer O Process can track the new setpoint Process will be unstable

Using a D-controller to regulate an underdamped second-order process, what will happen given a step input? Final output y'(t) is zero O No correct answer O Process can track the new setpoint Process will be unstable

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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**Question**: Using a D-controller to regulate an underdamped second-order process, what will happen given a step input? - ○ Final output y'(t) is zero - ○ No correct answer - ○ Process can track the new setpoint - ○ Process will be unstable - ○ Oscillation will not happen given any parameter \( \tau_D \) **Explanation**: This question is exploring the response of an underdamped second-order system when regulated by a derivative (D) controller under a step input. The options suggest various possible outcomes, such as zero final output, stability issues, or the ability to track a new setpoint. The impact of the derivative time constant \( \tau_D \) on the oscillation behavior is also considered.
Transcribed Image Text:**Question**: Using a D-controller to regulate an underdamped second-order process, what will happen given a step input? - ○ Final output y'(t) is zero - ○ No correct answer - ○ Process can track the new setpoint - ○ Process will be unstable - ○ Oscillation will not happen given any parameter \( \tau_D \) **Explanation**: This question is exploring the response of an underdamped second-order system when regulated by a derivative (D) controller under a step input. The options suggest various possible outcomes, such as zero final output, stability issues, or the ability to track a new setpoint. The impact of the derivative time constant \( \tau_D \) on the oscillation behavior is also considered.
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