3) For each of the following system model, find the differential equation if G(s) = C(s)/R(s) (assuming ċ(0) =c(0)=r(0)=0) 60 a) G(s) s2+10 s+60 s+1 b) G(s) s2

Q: Q5. An LTI system is described by the following linear constant coefficient differential equation…

A: The solution is given below

Q: Sketch the root loci for the following open loop G(s)H(s). G(s)H(s): = s² +2s +1 s(s+3)²

A: Given:an open loop transfer function, To find:Root locus of the given transfer function.

Q: 11 A continuous time linear time invariant system with input (t) and output y(t) is governed by (D²…

A:

Q: 4 A continuous time linear time invariant system with input (t) and output y(t) is governed by (D² +…

A: The system governed by, The input applied,

Q: R(s) + 1 C(s) K s(s+7)(s+3) + E(s) C(s) G(s) S or the system shown above, find the value of gain K…

A:

Q: Determine the value of K for which system is stable K b) G(s) H(s) = (s +8)(s+9)(s+5)

A:

Q: Problem 2 Draw a Nyquist plot of the following G(s) and examine the stability. G(s) = 1 s(s² + 0.88…

A: Given the  GS=1SS2+0.8S+1 Toatal number of ploe =3 order=3 Type=1( Toatal number of ploe at origine)

Q: Q2: For the RLC circuit shown below, Derive an expression for the transfer function G(s) = (9)…

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Q: c) Show how to construct a circuit to realize the following differential equation: AX (t) + B X (t)…

A: Given a differential equation: We need to realize this differential equation by constructing a…

Q: 1 G(s) (s + 10)(s+ 1) 6. Plot the step response of the closed-loop system 7. Draw a block-diagram of…

A:

Q: Find the V(t) that satisfies the following differential equation and initial conditions. d?v dV +25V…

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Q: Reduce the block diagram shown R(s) V (s) V½(s) + V3(s) V¼(s) + Vs(s) C(s) G(s) G2(s) G3(s) V-(s)…

A:

Q: di(t) + (6x105) i(t) = 200 E (t) dt Differential equation is -"equations D, dilt) + (6×105) i(t) =…

A: Yes , (6x105) is correct in the given differential equation.By manipulating the original…

Q: Use "Octave"to find the TF if: G1(s)=1/(s+1), G2(s)=(s+1)/(s+2), G(s)=1/s(s+1), H(s)=10. 1. To…

A: Use the following commands in octave to implement the required problem. Make sure to not make any…

Q: 2) Analyze the linearity, time-invariance, BIBO stability and causality of the system with input…

A:

Q: Determine i(t) if the transfer function I(s) s2 + 2s + 6 H(s) V(s) s2 + 3s + 2 and v(t)-10e u(t).…

A: From the Inverse Laplace transform

Q: Sketch the root-locus plot for the system shown in Figure below K (s+5) GCS) (S+1) ( S+2)

A:

Q: 1. Plot the time response of the following systems for unit step input. Label the x-axis and y-axis…

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Q: k s+ 0.6 s+1 s(s + 2)(s+ 5)

A: The open loop transfer function of given system is…

Q: Closed-loop (CL) system, use the Routh-Hurwitz Criterion to findthe range of gain K that will cause…

A:

Q: Q2. An LTI system is described by the equation (D + 1)(D² + 5D + 6)y(t) = Dx(t) %3D Determine the…

A: According to question: Applying Laplace transform on the LTI system equation, this will give…

Q: With i(t) the current through a device in an RLC circuit and with  i(0)=1 and di(0)/dt=0, the…

A: Need to find D1 and D2

Q: For the same differential equation as in Problem 1: * + 2a à + 25 a = 25 v (t) Let a = 13. Find the…

A:

Q: 2- Find value ofk required for the following system to meet the following requirements: TrS0.2…

A: Given:

Q: Consider the following transfer functions, find the system is: stable, marginally stable, or…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: 2.3-5 Find the unit impulse response of an LTIC system specified by the equation (D² +6D+9)y(t) =…

A:

Q: Check the stability of the following systems depending on poles positions on s-plane

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Q: 12 A continuous time linear time invariant system with input (t) and output y(t) is governed by (D²…

A:

Q: Question 3: Find the total response of the system described by the following differential equation…

A: Given here an equation and asked to find the total response.

Q: c) Cutting forces should be kept constant during machining operations to prevent changes in spindle…

A:

Q: This system has an input of a unit step function or u(t). Find: a.) Output Equation c(t) (numerator…

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Q: Draw the root location curves of the system given in the block diagram in the figure? R(s) K G(s)…

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Q: find out the stability of the system using pole-zero plot analysis

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Q: 13 A continuous time linear time invariant system with input (t) and output y(t) is governed by (D2+…

A:

Q: 8 A continuous time linear time invariant system with input (t) and output y(t) is governed by (D² +…

A: in the given questions we need to solve the differential equations and find the value of C2.

Q: 1. In the system, H(s) = 1/s and G(s) = 20((s+2)/(s2+8s+7)), what is the system type? 2. List the…

A: The given system isH(s)=1s.G(s)=20s+2s2+8s+7.We need to find 1. The type of the system.2. The list…

Q: Pre-Lab Activity. For each of the following systems, determine the time parameters applicable. Plot…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: QUESTION 1 Consider the following differential equation: dy (t) d²y (1) di² dt +9- df (t) +20y…

A:

Q: This Simulink model represents a second order differential equation , this * equation is 0.25 Gain…

A: Solution- The given model is shown below, In the above figure, f(t) is input and x(t) is output.…

Q: A system is known to have the differential equation relating output y(t) to input f(t).…

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Q: 3 Discretization of continuous-time systems Please derive the discrete-time systems corresponding to…

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Q: 2. For the system shown find the value of K that yields 20% overshoot for the R(s) as the step input…

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Q: 1. A system has the following transfer function, derive state and output equations. Y(s) 1 %3D U(s)…

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

Q: Draw the pole-zero maps for the following systems. Indicate poles using x and zeros using o.…

A: Given: Gs=s+3s2s-1s+5