Consider the equation of motion for a given system is 2x + x = u where x is the output in meters and u is the input in Newtons. Design a PID controller to maintain the desired system position at one meter with the following requirements: the time constant is 1 sec, and the damping ratio is 0.7071.

Consider the equation of motion for a given system is 2x + x = u where x is the output in meters and u is the input in Newtons. Design a PID controller to maintain the desired system position at one meter with the following requirements: the time constant is 1 sec, and the damping ratio is 0.7071.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

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Consider the equation of motion for a given system is 2x + x = u where x is the output in
meters and u is the input in Newtons. Design a PID controller to maintain the desired
system position at one meter with the following requirements: the time constant is I sec,
and the damping ratio is 0.7071.

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