-45Phase (deg)-9080-135-180109Figure 4 is the experimentally measured Bode diagram of the open loop transfer function of a unity feedbacksystem.1) Determine the approximate expression of the open loop transfer function of the system.2) Identify the system type.3) Calculate the Kp, Ky, and Ka of the system.4) Find the steady-state error when the input is 10, 10t, and 10t², respectively.5) Gain adjustment is applied to the system, such that the system yield a closed-loop response with 25%overshoot under a step input, calculate the value of gain adjustment.608Magnitude (dB)20040要 20-4080-6080080Bode Diagram1010-11010'Frequency (rad/s)1021010Figure 4

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Answered: -45 Phase (deg) -90 80 -135 -180 109…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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b) Closed-loop transfer function of a unity-feedback system is given by Y(s) / R(s)=1/(ts+1) .Discuss steady-state error for positional, velocity, and acceleration input?
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Hi, I could use some help with the following problems for controls. I am trying to get this to work, but I keep getting stuck. I'm trying to review some problems for an upcoming test by using some online resources.
and 1) 2) LIUS S Consider the following feedback system, where K is a constant gain G(s) === 1 s3 +382 +s+1 Let K be a real number. Utilize the Routh-Hurwitz criterion to derive stability conditions for the closed-loop system. Suppose that the reference input r(t) = 1. What are the steady-state tracking errors (ess) for K = 1 and K = 3, respectively? R K G(s) Y Figure 2: Control system in Problem 2.
Can you also please do the simulate the step response in MATLAB for the design and report archieved PO and settling time? Thank you.
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A second order plant with unity feedback is cascaded by a proportional controller as shown. If K is 100, 1. HI. Determine its closed-loop poles Y(s)/R(s). Determine its transfer function of E(s)/R(s) Calculate the steady state error of the following block diagram for a unit step R(s) input. iv. Suggest a method to improve on the steady state error. E(s) K pito 7 (s+2)(s+5) Y(s)
22 Q2 A PID controller is designed to control the robot leg, and the control system is shown in Figure 2. (a) Find the transfer function (s)/R(s). (b) R(s) [15 marks] Use the Routh-Hurwitz stability criterion to determine the range of the parameter K such that the closed-loop system is stable. + K 2+-+s S PID Controller Figure 2 4 s² + 3s + 4 Robot Leg dynamics [25 marks] ℗(s)
For the following open loop transfer functions, identify the correct Bode plot from the Bode plots given below: Bode Plots: 1) 3) Magnitude (dB) (Bap) eseyd 50 0 -100 -50 -150 -90 -135 -180 Magnitude (dB) -225 Phase (deg) -270 1012 -20 -40 -60 -80 -100 0 -90 -180 -270 G(s) = 10-1 Transfer function: 10 O a. 1 O b. 2 O c. 3 O d. 4 16 Bode Diagram TOP Frequency (rad/s) Bode Diagram (s+4)(s² +1.65+4) 101 Frequency (rad/s) 10 Њ 10² 10² N + Magnitude (dB) Phase (deg) Magnitude (dB) Phase (deg) 50 -50 -100 -45 -90 -135 -180 10:12 -20 -40 -60 -80 -100 -120 90 0 -90 -180 -270 1012 10 10 Bode Diagram 10² Frequency (rad/s) Bode Diagram 10² Frequency (rad/s) 10 10¹ 10² 10²
1) Consider the system below: Vehicle Controller Steering dynamics Desired Actual bearing angle bearing angle 50 1 K s2 + 10s + 50 s(s + 5) Figure 1: Simplified Block Diagram of a Self-Guiding Vehicle's Bearing Angle Control. • Find a K value that the system has minimum rise time and minimum overshoot. Let us call this proportional gain as Kopt Show each step while finding Kopt- Show the necessary graphical solutions. Simulate the system response with 3 different K values. (Kopt and two other K values close to Kopt) Show the system response (actual bearing angle) in a single graph for different K values. • Comment on the results.
For the system with open loop transfer function given by R(s) K s(s + 1) (s² + 4s +13) where K is the feedback gain. Sketch the root locus a) How many asymptotes are there for this system's root locus? what are asymptote angles? What is the center of asymptotes? C(s) b) Does the root locus cross the imaginary axis? where and what is the value of K at that point? c) Is there any break away, break in points? What is the approximate values of these points?

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