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Expert help when you need it- Q1:(a) Find the damping ratio and natural frequency for each second-order system of Problem 4.17.6 and show that the value of the damping ratio conforms to the type of response (underdamped, overdamped, and so on) predicted in that problem. [Section: 4.5]See Answer
- Q2:EXERCISE 4.17.16: (Chapter 4, Problem 16 in the 8th Edition). Find the location of the poles of second-order systems with the following specifications: [Section: 4.61 (a) %OS = 15; T₂ = 0.5 second (b) %OS = 8; T₂ = 10 seconds (c) Ts = 1 second; Tp = 1.1 secondsSee Answer
- Q3:EXERCISE 4.17.29: (Chapter 4, Problem 29 in the 8th Edition). EXERCISE 4.17.54: (Chapter 4, Problem 54 in the 8th Edition). (a) Consider the translational mechanical system shown below. A I-pound force, f(t), is applied at t = 0. If f = 1, find K and M such that the response is characterized by a 4-second settling time and a 1-second peak time. Also, what is the resulting percent overshoot? [Section: 4.6] GSee Answer
- Q4: 2. (19 pts.) (Chapter 3) Given the dc servomotor and load shown, represent the system in state space, where the state variables are the armature current, ia, load displacement, OL, and load angular velocity, wL. Assume that the output is the angular displacement of the armature. Do not neglect armature inductance. See Answer
- Q5: For the following G(s), find analytical expressions for the magnitude and phase response. G(s)=\frac{10}{s(s+1)}See Answer
- Q6: Given the following open-loop plant: G(s)=\frac{20(s+2)}{s(s+5)(s+7)} design a controller to yield a 10% overshoot and a settling time of 2 seconds. Place the third pole 10 times as far from the imaginary axis as the dominant pole pair. Use the phase variables for state-variable feedback.See Answer
- Q7: Problem 4. Estimate the TF for the system with these Bode Plots. The peak in the magnitude plot has a value of -5db at 32 rads/s. See Answer
- Q8: 5-3 For the AM signal given in Prob. 5-2. (a) Evaluate the average power of the AM signal. (b) Evaluate the PEP of the AM signal.See Answer
- Q9: The Bell-Boeing V-22 Osprey Tiltrotor is both an airplane and helicopter. Its advantage is the ability to rotate its engine 90° from a vertical position for takeoffs and landings and then to switch the engines to a horizontal position for cruising as an airplane. The altitude control system in the helicopter mode is shown in the block diagram. (a) Determine the root locus as K varies and determine the range of K for a stable system. (b) For K = 280, find the actual y(t) for a unit step input r(t)and all the transient response characteristics. See Answer
- Q10: Use MATLAB to plot the Bode diagram for the 1-DOF mechanical system in Problem 9.11 (Fig. P9.11).Estimate the frequency response for the position input xin(r) = 0.04 sin 50r m by reading the Bode diagram(indicate the frequency response parameters on the plot of the Bode diagram). Obtain a more accurate answer by using MATLAB's bode command with left-hand-side arguments for computing magnitude and phase angle.See Answer
- Q11: Given the transfer function G(s)=\frac{2 s+3}{s(s+8)} \text { compute the magnitude and phase angle of the simusoidal transfer function for frequency } \omega=2 \mathrm{rad} / \mathrm{s} .See Answer
- Q12: Make a plot of the log magnitude and the phase, using log-frequency in rad/s as the coordinate.USE asymptotic approximations (Do not use bode function in Matlab).See Answer
- Q13:Consider the closed-loop system shown below: Find the sensitivity functionSee Answer
- Q14: Consider again the simple RL circuit shown in Fig. 9.5 (Example 9.1). The transfer function of the RLcircuit is G(s)=\frac{I(s)}{E_{\mathrm{in}}(s)}=\frac{1}{L s+R} where the output is current /(1) and the input is source voltage e(t). If the system parameters are L = 0.02 Hand R = 1.5 ohms determine the bandwidth (in hertz, Hz) of the RL circuit.See Answer
- Q15: 2. (19 pts.) (Chapter 3) Given the dc servomotor and load shown, represent the system in state space, where the state variables are the armature current, ia, load displacement, OL, and load angular velocity, WL. Assume that the output is the angular displacement of the armature. Do not neglect armature inductance. See Answer
- Q16: Given the transfer function G(s)=\frac{3 s+1}{2 s^{2}+6 s+40} determine the sinusoidal transfer function.See Answer
- Q17: 1. A) Find and plot closed-loop pole locations of the system below for K=0, 10, 25, 40, 50 B) Calculate the angles and magnitude of the closed-loop transfer function for each of the poles depending on the K above. C) Plot closed loop time response for each closed loop transfer function for K = 0, 10, 25, 40, 50. D) Discuss the transient response: pole locations and time response. E) Discuss the steady-state response. See Answer
- Q18: Problem 2. (1) (2.5 points) Derive the equations of motion of a quarter-car model shown below. (2) (2.5 points) Obtain the state-space model. (3) (2.5 points) Obtain the transfer function: G(s) =Y(8)/R(s). See Answer
- Q19: Given the I/O equation 2 y+10 y=3 u \text { compute the frequency response } y_{\mathrm{ss}}(t) \text { for the input } u(t)=18 \sin 4 t \text {. }See Answer
- Q20: 4. Use pzmap function in matlab to get the pole zero map for the closed loop poles in the problem with K =0,1,10,100,1000,10000. Submit code used to generate the transfer function and the pole-zero map figure for each system.See Answer
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