The input and output corresponding to the steady (frequency) response of a first ordersystem have been recorded below. Determine the following:a) Use the phase difference to find the time constant of the system.b) Write down a differential eq. of a 1st order system that will yield the same response.c) For which range of input frequencies will the response of the first order system benegligible? Clearly explain your answer and provide numerical values for the range.d) For which range of frequencies can the derivative term in the first order system beignored?3142 4.8941.81.6141.210.50.80.60.4Output(t)0.2Input()-0.25-0.4-0.6-0.8-1-0.5-1.2-1.4-1.61.80 123456 7 8 9 10 11 12 13 14 15 16 17 18 19 20t

Answered in the explanation below.

Answered: The input and output corresponding to…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.6P

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2- Using Matlab, what are the step response curves of the closed-loop system, as shown in fig.1. the feedback represents the second-order dynamic system. (fill in the following table) For=0.4 Wn 1 3 6 9 10 R(S) 0.1 0.3 0.6 0.9 1 For w 5 rad/sec 3 Settling time Peak response 2 Wn s(s+23wn) Settling time Peak response C(s) Discuss the follow Which parameters or w occur on the rise time of the response? Which parameter increases the speed of response? Which parameters can be decreases the response amplitude? Which parameter decreases the steady error state? fig.2
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Question 4 a) A control engineer has modelled the suspension system of a new model car using a 2nd order differential equation. Using Laplace Transform, the engineer has managed to work out the transfer function, which is given below: 0.001 s2 + 12s+81 What is the natural frequency, the damping ratio and the constant K of the system? Please show all calculations. b) The same engineer has studied the suspension system of a SUV vehicle and modelled it using again a 2nd order differential equation, which has resulted into the following 2nd order transfer function: Y(s) 32 U(s) 4s² +8s + 16 For this system first calculate the damping ratio and its natural frequency and state whether the system is underdamped, overdamped or critically damped. Then calculate the peak time, peak value, settling time and damped natural frequency of the system.
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