EBK THE ANALYSIS AND DESIGN OF LINEAR C
8th Edition
ISBN: 9781119228226
Author: Toussaint
Publisher: YUZU
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2. Find the inverse Laplace transform of the following s -domain signals.
1
a) Y(s)
=
(s+4)²(s+3)
S+7
b) Y(s)
=
(s²+6s+13)
s²+2s+2
c) Y(s)
=
(s+2)2-32
d) Y(s) = (1-es - e-3s)
$2
4. Answer the following questions. Take help from ChatGPT to answer these questions
(if you need). But write the answers briefly using your own words with no more than
two sentences and make sure you check whether ChatGPT is giving you the
appropriate answers in our context.
A) What is the zero-input response?
B) What is the zero-state response?
C) What are pole, zero, and residue in the context of our class?
D) What are the different methods for finding the inverse Laplace transform?
Which one we used in this class?
3. You have come to encounter an LTI system. You have no idea how the system
behaves. So, you decide to drive the system with a particular input and measure the
output. When you put the input u(t) = et 1(t), you find that the output y(t) =
(1-e) 1(t). You can assume zero initial conditions. Now, find the transfer
function of the system.
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- 1. Consider the following LTI system. d²y dy du +7 +6y= -- +2u, t≥0 dt² dt dt a) What is the impulse response of the system? Recall, h(t) = L-¹(H(s)). b) What are poles and zeros of the system? c) Suppose the initial condition of the system is y(0) = 1 and y'(0) = 4. What is the zero-input response of the system? d) Consider an input u(t) = (1 + et) 1(t) to the system. What is the zero-state response of the system for this input? e) Suppose, the initial condition was y(0) = -2 and y'(0) = -8 and the input is u(t)=(1+e) 1(t). What will be the total response of the system? You should be able to answer this using the linearity property of the system and your answers in part b and part c without taking any inverse Laplace transform.arrow_forwardGiven a normally distributed variable X with mean 4 and standard deviation 2, fi (a) P(X5). (d) P(1.8arrow_forwardTask 2 (2 credits) Consider the circuit in the figure below. The Zener diode has a Zener voltage of 15 V. What is the voltage Vout? 22 V 4.0 ΚΩ Vout 3.0 ΚΩarrow_forwardGiven a normally distributed variable X with mean 4 and standard deviation 2, fi (a) P(X5). (d) P(1.8arrow_forwardGiven a normally distributed variable X with mean 4 and standard deviation 2, fi (a) P(X5). (d) P(1.8arrow_forwardQ1. The three-phase full-wave converter in Figure shown is operated from a three phase Y-connected supply. Sketch the output voltages appeared at the load for firing angle 15°. I need Sketch an Ven จ T1 Q Yi₁ = I₂ a ia = is T₁ T3 T₂ Vbn b ib Load Highly inductive load ▲ T6 T₂ iT4 On T5, T6 T6, T₁ T2, T3 T3, T4 T4, T5 T5, T6 ཅ 0 T₁ الاسم T₁ Is wtarrow_forwardQ4. For the control system is shown in Figure 2, by using second method of Ziegler- Nichols, calculate the PID, PI-D and I-PD parameters and make tuning for this parameters to get accepting response for the هندسة الكم following system, then compare your results for all types controllers? R(S) K C(s) S3+4S² +11S Figure (2)arrow_forwardQ1. Consider the unity feedback control system whose open-loop transfer function is: G(s): = 40(S+2) s(s+3)(s+1)(s + 10) ELECTRIC Ziegler-Nichols, By using second method of Ziegler- Nichols, calculate the PID, PI-D and I-PD parameters and make tuning for this parameters to get accepting response for the following system, then comp controllers? PARTME then compare your results for all types GINEARIarrow_forwardQ2. Consider the control system whose open-loop transfer function is: G(s) = K قسم s (s2 +4.8s + 12.6) By using second method of Ziegler- Nichols, calculate the PID, PI-D and I-PD parameters and make tuning for this parameters to get accepting response for the following system, then compare your results for all types controllers?arrow_forwardQ3. For the control system is shown in Figure 1, by using second method of Ziegler- Nichols, calculate the PID, PI-D and I-PD parameters and make tuning for this parameters to get accepting response for the following system, then compare your results for all types controllers? R(s) + C(s) 1 GES s(s+3)(s+6) PID controller Figure (1) INarrow_forwardUse Newton-Raphson method to solve the system x³+y-1=0 4 y³-x+1=0 with the starting value (xo,yo) = (1,0). Take n=4.arrow_forwardUse Newton-Raphson method to solve the system 3x²y - 10x+7=0 y²-5y+4=0 With the starting value (xo, yo) = (0.5, 0.5). Take n = 1arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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