The response to a unit step input (applied at time t = 0 s) of asystem is shown in Figure Q2, determine the transfer function of thissystem from the step response graph.Amplitude2.62.42.2281.81.6641.41.210.80.60.40.200Step Response0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1Time (sec)Figure Q2 Step response1.2

Given Data: tp=0.35 s To Find: The transfer function of the system.

Answered: The response to a unit step input…

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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Using masons rule find the transfer function G(s) = C(s)/R(s)
1. Consider the simplified model we discussed in class about a car on a bumpy road. The car has a mass m supported by stiffness k and damping c. The road gives a displacement excitation R(t) to the car. The transfer function from R(t) to the car displacement y(t) is Hy(s) - Y(s) R(s) cs + k ms² + cs+k (1) (a) Determine the driving point impedance ZR(s), which is the ratio of the velocity R(t) to the force acting on the wheel from the road. (b) Engineer X is testing the car in the Vehicle Dynamics Lab of a start-up company GF.com. Because of insufficient cash flow, Engineer X only has the equipment to mea- sure ZR(s), and identify the zeros and poles of ZR(s). But eigineer X wants to find the poles of Hy(s). To do so, should Engineer X use the zeros or poles of ZR(s) instead? Explain why? m y(t) R(t) Figure 1: A simple model of a car on a bumpy road
Q2: Derive the 1st order transfer function of a liquid-level system shown fig. (1) to determine the response of the outlet flow (q.(t)) to unit pulse change in the inlet flow (qin (t)). q (t) I Ih(t) 1 Fig.(1) R go (t)
For each transfer function write the corresponding differential equation. For problem c simplify the answer by explicitly computing all derivatives
The state z(t) of a dynamical system is solution of equation ż(t) + aż(t) + 25z(t) = 12, with a = 7.3. Calculate the Peak time of the response.

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The response to a unit step input (applied at time t = 0 s) of a system is shown in Figure Q2, determine the transfer function of this system from the step response graph.