Problem 3: A system is described by the following differential equation: d'y d'y d³x d²x dx dy +3. +5 +y= dt3 dt² dt +4. +6- •+8x dt³ dt² dt Please find the transfer function for the system G(s)= Y(s)/X(s).

Q: Y(s) a) U(s) 2s+3 s²+5s+4 b) G(s) = 2s+1 s2+7s+9 c) G(s) 5s+10 s++2s³+s²+5s+10

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: A system is described by the following differential equation: d³y +3d²y + 5d + y = dy d³x dt ³ dt dt…

A: A system characterized by a differential equation, we need to find the transfer function, .

Q: 4. The system has transfer function Y(s) = T(s) R(s) 1 %3D = 3 + 10s? + 31s + 30 Obtain state space…

A: in order to convert the transfer function into the state space use the partial fraction method…

Q: Show a block diagram of the system, giving its transfer function and all pertinent inputs and…

A: Given:  x0=1, x˙0=-1,d2xdt2+2dxdt+3x=1. Required: Block diagram and transfer function representation…

Q: s+1 The D.C. gain and steady state error for step input for G(s) = s²+8+1 are:

A: Given that, Transfer function, Gs=s+1s2+s+1

Q: As many students ask about Ex 4, I re-write it as follows: Example #4. The forward path transfer…

A: In this problem the unit step response for a given transfer function is asked. Please note that the…

Q: PROBLEM: Find the differential equation corresponding to the transfer function, 2s + 1 s² +6s+2…

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Q: 2. Obtain the transfer function G(s)-C(s)/R(s) of Figure 2, by two methods: using block algebra…

A: The given block diagram can be reduced by considering the parallel and cascade connected reduction…

Q: Convert the state and output equations shown and obtain transfer function T(s). 2 -3 -8] 5 3 x and y…

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Q: Qu 5. (Lecture 10 example) Find the range of values of K for which the system with the following…

A: The transfer function,

Q: 50 (s² + 2s + 3)(s + 2) G(s): s5 + 40s4 + s3 + 20s2 + 10s + 6

A: Zeroes of system are those values on s plane where numerator of transfer function is zero. Poles of…

Q: Find the transfer function of the following differential equation:

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Q: System is as follows: à1 – 2x1 = U - *2 + 3x2 + 4x2 = x1 ý + 4y = x2 Y(s) a. Find the transfer…

A: Part (a): The assumptions for the given expressions are as follow:…

Q: Find the z- transfer of the following systems: a- x(n) = 0.7"u(n) b- x(n) = 4 e-2(n-3)u(n – 3)

A: In this question,  Two signals are given.  Find the Z transform?  We know Z transform of the x(n)

Q: Consider the following differential equation; d³y dr 3 di dt d³x =2 +4 dt -+9x dt Derive the…

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Q: Q2/ find the transfer function (VL2(s)/Vi(s)) for the electric circuit shown below: R₁ ww vi(t)…

A: Given:An electric circuit, we need to find:Transfer function, .

Q: The input-3 e²tu(t), where u(t) is unit step function is applied to a system with transfer function…

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Q: Choose the determinant D1,D2 and D3 using Hurwitz's criterion for the following transfer function a…

A: The characteristic equation is given by: 2s3+3s2+2s+16=0 The Routh Hurwitz's table is : s3   2…

Q: 4) For each of the following transfer functions, Find the vaiue of 3, wn and report the kind of…

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Q: . Given a transfer function below, (a) Draw a block diagram for state space transformation, (b)…

A: Given the transfer function as shown below: a) We need to draw a block diagram for state diagram…

Q: Find the transfer function G(s) = Y(s)/R(s) for the system shown below: 5 H} 2 3 -5 2 x= 1-87x+…

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Q: What is the transfer function of the system given by differential equation? d²y dt² dy 3- dt s + 1…

A: Given, The equation is, d2ydt2-3dydt-4y=u+dudt

Q: Q3: Consider the electrical circuit shown below. Obtain the transfer function Eo(s)/ E:(s) by using…

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Q: la äai for the figure shown bellow, the transfer function of the response *:curve is ep Renponae 07…

A: From the given graph, Settling time is ts=7.74 s Peak overshoot is PO=0.652

Q: Determine whether the system defined by the following transfer functions are stable or not. Use each…

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Q: d²c + 5 dt2 d²r dr + dc 3 +c = 2 dt dt3 dt

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Q: Determine whether the system defined by the following transfer functions are stable or not. s3 + 4s2…

A: According to routh hurweitz criteria, if there is no sign change in firat column of routh table then…

Q: The characteristic equation of a transfer function is given by: C(s) = ³ +3s² - 8s + 10 + K(s+1) = 0…

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Q: 3s+6s+1 )Realise the Transfer Function Z21 = - with a lattice network. 2(s+1)(s+2)(s+3)

A: Z21=3s2+6s+12(s+1)(s+2)(s+3)       =3s2+6s+12s3+12s2+22s+12Y21=2s3+12s2+22s+123s2+6s+1

Q: Find the Transfer Function of the system modeled by the following differential equatio dx(t) d³y(t)…

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Q: 9. T(s) = s* +2s° -4s +18s+9 Consider a transfer function %3D :As you are able to convert the…

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Q: R R2 out RA RB Vm (1) C :

A: we were asked to find the TF for the given opamp.

Q: b) For the following transfer functions. Write the dynamic equations (state equations and output…

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Q: 4. Write the state space representation for the following transfer function R(s) 100 Cs) s4+ 20s3+…

A: State space Representation- The set of possible values that state vector can be assume called state…

Q: Question 2. Find the transfer function Y(s)/X(s) for the system described by the following d?x +649…

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Q: Q2. ROOT-LOCUS Determine the Root-Locus for the following transfer function. 8 L (8) = 32+8+1

A:

Q: Xs = 50S + 100 S2 + 52S + 100

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Q: 3. Construct the complex plane of the finite poles and zeroes of the following transfer functions.…

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Q: y(s) u(s) s +2s +3 %3D a. A= C =[1 1] D=[0] B = -2 -3 b. A= -3 C=[1 0] D=[0] B = -2 M C=[1 0] D=[1]…

A: Here in the problem transfer function is given and we need to find out the state-space equation.…

Q: Problem 3: (0 Write a MATLAB program to compute the poles of the system with transfer function s3+3…

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Q: E:(s) by using the block diagram approach then display the output response unit step input (u(t) = 1…

A: Solve the problem

Q: The following transfer function is type K G(s) = s(6s? +5s+1) Select one: a. 2 b. 1 C. non of the…

A: As per company guidelines we can solve only one question submit the another question again  Number…

Q: k(s) Gi HC H₂ Gaz H₁ + + G3 C (s)

A:

Q: Find the transfer function X(s)/F(s). F(s) + 1 S s²+ 18s +80 1 s² + 12 1 s²-18s +80 1 s²+12s-8 1 s²…

A: In this question we need to find the transfer function of the given block diagram.

Q: Q.7 Determine the number of roots with positive rea part for the given transfer function. C(s) R(s)…

A: Routh Hurwitz  necessary but not sufficient  condition for stability is a)The coefficient of all…