r (t) input and y (t) output, refer to linear, time-invariant systems. Find the Y (s) / R (s) transfer function for the system

Q: calculate the Nyquist diagram of the following transfer function sys = 334.1 s^2 + 45.38 5 + 227.3

A: We need to calculate the Nyquist diagram of the following transfer function:…

Q: 1 (1) The transfer function of a system is G (s) = + s+b sta (a) Find a value of a and b, to make…

A: According to the question, Gs=1s+a+1s+b; then we need to calculate the following parameters, aValue…

Q: xercise 5.2.1 Consider a discrete-time system described by the following ifference equation у (п) %3…

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Q: system. R(s) Y (s) 160 s+32 K2 Find the condition for K, and K2, which makes the system stable using…

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Q: 1. A certain communication system is defined by following impulse response n h(n) = и(п) + и(-п - 1)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: b) A discrete-time system can be modelled by the following transfer function, Y(z) G(z) = 2 U(z)…

A: Given data: Gz=2z2-1.2z+0.35uk=2k

Q: (a) (T or F): For the system of G(s) the settling time is 1 %3D (8 – 4)' second. (b) output (BIBO)…

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Q: Write the mathematical equations for the mechanical system given. Also find the transfer function…

A: Transfer function

Q: stem is stable To validate the stability of the system for the required K, we will check the roots…

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Q: Q2/ A discrete-time system is described by the following transfer function (z – 0.5) (z – 1) (z + 0.…

A: Given discrete time systemH(z)=z-0.5z-1z+0.5

Q: 2. Obtain Transfer function of the systems . Also verify your result theoretically A. Poles = -1+i,…

A: Given: P1=-1+j1P2=-1-j1P3=-4Z1=-2Z2=-5k=1

Q: For the automotive cruise control system with open loop transfer function, 1 G(s) : (4s + 1)(3s + 1)…

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Q: 3. The response of ramp input to the first-order system shown in the following figure, which is…

A: From the graph

Q: A system transfer function is H(s) = as² + b,s + C, . If a, = b1 = 0, and G. If %3D bị = %3D a,s' +…

A: The transfer function is given as:

Q: Consider the following transfer functions. Determine 1. Whether the transfer function is proper or…

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Q: A first-order system has a transfer function in the form, а T(s) = s+a If its settling time is equal…

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Q: A discrete-time system is described by the difference equation y[m]+ >[n=1]=x[«] Where y[n] =0 for…

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Q: 1. The response of an LTI system that is intially at rest when subjected to a unit-step input is…

A: Transfer function is ratio of output signal to input signal. Laplace transform is used to convert…

Q: 2.a. Determine the transfer function Y(s)/R(s) for the system below. Express your result as a ratio…

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Q: Given a transfer function depicting a DSP system z+1 H(2) =1-0,5 Determine (2] a) the Impulse…

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Q: the impulse response of a linear time invariant system is h(n)={ 1,2,1,-1} Determine the response of…

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Q: Consider the circuit shown, which may be regarded as a one-input, two-output system. 1Ω 1 H elle i,…

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Q: 1/(s 5s – 6). For the open-loop transfer functions, and G(s) = 1/(s 5s – 6)andG(s) = s(s –…

A: In the question,  Determine the stability of the all given open loop transfer function.  We are…

Q: G(s) 96(s+5)(s+12) (s-1)(s+8)(s+6)

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Q: F(s) = s4 +3s3 + 12s² + (K – 16)s + K

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Q: A plant has the transfer function given by 1 G(s) = (s2 + 3s + 1)(s2 + 7s+ 1) and is controlled by a…

A: For a negative feedback closed-loop system, the controller (proportional) and process transfer…

Q: Y(s) 210.25 T(s) R(s) s2 + 5.8s + 210.25 1. Given above is the closed-loop transfer function of a…

A: Time to reach the steady state value in the specified tolerance band is settling time. For 2%…

Q: Activity: 1st-order performance specs Find the output response v,(t) if i, = 0.030u(t). Also find…

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Q: 3. Consider an LTI system with the following transfer function: s+3 H(s) = %3D s² + 4s + 5 (a) If…

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Q: The input-output relation for a system is given as  y(n)=4x(n-2).  Find out the transfer function…

A: Given information: A discrete-time system is given and the input-output relation for the system is…

Q: Consider a system described by the following dynamic equation: 5x + 17*+ 20x + 8x = 4f (t) – 0.9g(t)…

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Q: system whose dynamic equations   dx(t)/dt = Ax(t) + Bu(t)      y(t) = Cx(t)   are given as . Find…

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Q: Question 1)  x(t) output,  u(t) input Obtain the transfer functions of the systems given below.…

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Q: For the automotive cruise control system with open loop transfer function, 1 G(s) (4s + 1)(3s + 1)…

A: The open-loop transfer function of an automotive cruise control system is given by Gs=14s+13s+1. We…

Q: by the following differential equation: y(t) + 4 y(t) +3 y(t) = 2 x(t) + 4 x(t) Find the Transfer…

A: Please refer the attached images for the complete answer.. “Since you have asked multiple question,…

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

A: given It is close loop transfer function (by default)

Q: The transfer function of the system, H(2): is given by: 1+2z 1+3/22- H(2)= If the system is stable,…

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Q: Q30. The loop transfer function of a system is given by K(s + 10)(s + 100) G(s) H(s): s(s + 25)? The…

A: for this problem, we know that the number of loci(branches) terminating at infinity is the…

Q: 1. A system has an input-output relationship represented by the following third order differential…

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Q: Q1: Determine the range of value of a system parameter k for the stable system having transfer…

A: Determine the range of value of a system parameter K for the stable system having above transfer…

Q: C) Transfer function of a system is used to calculate which of the following? a) The order of the…

A: In this question we will find transfer function use..

Q: system whose dynamic equations   dx(t)/dt = Ax(t) + Bu(t)      y(t) = Cx(t)   are given as . Find…

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Q: Obtain the transfer function H(s) = Vo/V₁. Suppose vi(t) = V₁cos(wt). Obtain the steady state…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The input output relation for a discrete time system is expressed by the following difference…

A: In direct form 1 of realization, the general expression of the transfer function H(z) is given as

Q: 8 - When u (t): unit step function is applied to the input of the control system given the transfer…

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Q: e. Amplitude 6. 2. 1. 1. 2. 3. 2 s+1 7. 3 s+1 8. 2 s+1 1. F. Ramp response of first-order system 3…

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Q: Determine the validity of a second-order step-response approximation for each transfer function…

A: Response of Unit step unit The response of the system with zero initial condition to a unit step…

Rectangular Coordinate System

In a rectangular coordinate system, each point based on the pair of coordinates is specified uniquely in the plane. From two fixed perpendicular lines, these coordinates are at a distance in the rectangular coordinate system. Each line is known as the reference axis and axes as plural. The point where they meet is called the origin (0,0).