Obtain the phase and gain margins of the system shown in for the two cases where K = 10 and K = 100. %3D R(s). K C(s) s(s + 1) (s + 5)

Q: It is known that G(s) = K(s + 2) s4 +53 +s² + s-4' and the closed-loop structure is shown below:…

A: Given :The open loop transfer function is given by:Finding the closed loop transfer function and…

Q: 2. Assume the disturbance input f(t) = A sin wt is applied to the mass M. (50) a) Find the state…

A: Please see the attached solution:

Q: For the schematic given at the figure is known that the transfer function is H(s) : Ts = (+1) and…

A: Given: Hs=TsTKs+1

Q: 6. Off-road vehicles experience many disturbance inputs as they transverse over rough roads. An…

A: this question about the moment of inertia of the shaded region about the centroidal x and y axes.…

Q: Problem 1. For the OL TF design a Pl compensator to eliminate error completely for ramp input at the…

A: given,open loop transfer functionG=ks(s+3)(s+3)

Q: PROBLEM: Determine the stability of the closed-loop transfer function T(s) = 10 $5 +254 +353 +6s²+5s…

A: Thank you Concept , Reference & Examples :  there are two sign changes so two RHP poles which…

Q: K f₂ £₂ M Figure 1 2. Find the Laplace transform and transfer function for the system in Figure 1.…

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Q: at DMZ For the following Second-order system and initial conditions, find the transient solution:…

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Q: The transfer function of a dynamical system is written as T(s) = T₁(s)/T₂(s). At 5 rad/s, the gain…

A: Given data: T(s) = T1(s)/T2(s) At 5 rad/s, T1(s) = 18 dB At 5 rad/s, T2(s) = 63 dB   To find: The…

Q: 1- From equation (4) find the transient response using Laplace transforms. 2- Why the output for 3…

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Q: For the system whose block diagram is shown in Fig.1, find the overall transfer function by using…

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Q: Problem 2. Come up with 5 different transfer functions (tf) that will yield critically damped…

A: Critically damped transfer functions are the ones whose damping ratio (zeta) is equal to one. I have…

Q: Briefly explain the terms time constant, damping ratio, undamped natural frequency and damped…

A: Time constant: It tells us how fast a control variable responds to a given. It is measured as time…

Q: An underdamped second order system forward transfer function is given as: 3a + b + 2d + e G(s) = s2…

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Q: Calculate the poles, decay rate, damped natural frequency, undamped natural fre- quency, and damping…

A: Given: Gs=2s2+3s+5s2+16 To find: Poles, decay rate, damped natural frequency, undamped natural…

Q: Determine to what value the gain K should be changed to make this closed-loop system stable if, for…

A: Gain Margin in dB is negative of system Gain in dB. If you want direct formula you can use…

Q: For the single degree of freedom system shown below in Figure Q11, and considering only the steady…

A: Solution: Given Data: m=14.6 kgk=571.8 N/mc=7.5 N-s/mω=11.1 rad/s   To Find: The phase difference…

Q: Plant R(S) E(S) U(S) Y(S) K G(s) Figure Q3 For the closed loop system shown in Figure Q3: (a)…

A: The gain and phase margins of a closed-loop system can be found using the Nyquist plot of the…

Q: Y(s) U(s) G₁(s) G₂(s) (a) H₁(s) H2(s) Figure Q6 Using Routh test determine if the system shown in…

A: Step 1:

Q: Determine the steady-state (forced) response and the time constant (or dominant tin each of these…

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Q: Figure 2). 1.2 1 0.8 Peak value: 1.1878 0.6 Peak time: 2.0723 sec 0.4 splacement of mass

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Q: 5. Calculate the response of the system below 27 -3 [ 8 1 ] * 0 + [2] 3³] × 0) = 0 (t) -3 given the…

A: Step 1: Step 2:

Q: 5. Afeedback system's open-loop transfer function is K G(s) = s(s+ 3)(s+ 6) 1)Sketch the system root…

A: The feed back loop system is given

Q: QUESTION 2 Consider a system model given by d²x (1) dt² 2- + 3x (t) = 48 (1) x (0) =1 dx (t) dt =…

A: Given:The system model is given below;

Q: 5) Consider the linear system described by the following differential equation: * + 2ax + (a²+4)x=…

A: Given Data: x..+2ax.+a2+4x=F(t)F(t)=δ(t)   To Find: (a) Transfer function. (b) Unit impulse…

Q: Use the convolution integral method to derive expressions for the response of an undamped system…

A: For figure the force function will be so the Duhamel Integral expression can be written as