withConsider the unity-feedback closed loop system shown in Figure 2G(8) = + 1088Sketch the Bode plot of G(s). Explain what rules you used to plot it.Draw the frequency response in the polar coordinates, i.e., the magnitudeis M(w) and the phase is (w).

Step 1:Step 2:Here different values of w are put in angle formula and corresponding angles are…

Answered: with Consider the unity-feedback closed…

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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Q5) For unity feedback control system with forward transfer function (G(s) ): G(s) = ; By using root locus graph calculate the value K(s+5) (s+2)(s²+12s+50) of gain (K) which must be added to get the dominant root at damping ratio (-0.886) and natural frequency (w = 8 rad/sec )? www CTRICAL ENGIN
Q.4- A model for feedback control system employing both angular position and velocity feedback is shown in figure bellow .The equation describing d²0 do di the system is J di² - = • K.[V₁-K₁0. K₂0-Ka ((1) Summing V,(r) Motor 白口食 amplifier Velocity sensor K₂8 Position sensor Where J is the rotary inertia KandK are the position and velocity feedback gains, and K, is the gain between the input voltages to the motor torque produced. Derive expression for the closed loop system undamped natural frequency and damping ratio.
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.
Find the equivalent transfer function of the negative feedback system of figure below: R(s) C(s) G(s) H(s) G(s) K and H(s) =1 s(s +2)? find two values of gain that will yield closed-loop, overdamped, second-order poles. Repeat for underdamped poles find the value of gain, K, that will make the system critically damped. find the value of gain, K, that will make the system marginally stable. Also, find the frequency of oscillation at that value of K that makes the system marginally stable.
Problem-3. Consider the closed loop transfer function from R(s) to C(s) as given below as given below. 85 H(s) = (s+5)(s? + 2s +17) MATLAB gives the partial fraction values of the Laplace transform C(s) to the unit step input as follows: Num: Denom: -0.5313 -5.0000 -0.2344 + 0.3906i -1.0000 + 4.0000i -0.2344 - 0.3906i -1.0000 - 4.0000i 1.0000 d) Find the overshoot and peak time by using the reduced-order transfer function Hint:Tp = e-(n{//1-§2 %OV = Wn V1- 2)
Figure Q2 shows the block diagram of a unity-feedback control system Proportional Controller Plant R(s) C(s). s(3s +1) 5+2s² +4 K 2.1- Determine the characteristic equation. 2.2- Using the Routh-Hurwitz criterion to determine the range of gain, K to ensure stability and marginally stability in the unity feedback syste m.
Below is a very common feedback block system. It is a 1dof, and unity-feedback system. The input is the reference command R(s). This is what flows out of thin air, into the system. All other signals in the system (e.g. U, Y, etc.) will depend on R(s). R(s) a. E(s) e. K U(s) G Y(s) Write the algebraic relation between the output Y(s) and the reference R(s) in terms of G and K?. Write it in the format Y = some function of s * R b. What is the TF from R to Y, aka the closed loop TF? What is the "Loop TF" aka the "the open-loop TF"? G has zeros at ZG1, ZG2 etc. and poles at PG1, PG2 etc. C. K has zeros at ZK1, ZK2 etc. and poles at PK1, PK2 etc. What are the zeros and the poles of OLTF? What are the zeros and the poles of CLTF? d. Write the algebraic relation between the error E(s)=R-Y and the reference R(s) in terms of G and K? Write it in the format E = some function of s * R. What is the TF from R to E? Write the algebraic relation between the controller output U(s) and the reference…
For the system represented by the following block diagram, Find a) The Closed-loop Transfer function. b) Characteristic equation. c) Type and Order of the system. c) Time-domain Specifications ( Delay Time, Peak Time, Rise Time, Settling time, and Percentage overshoot). R(s) C(s) G(s) H(s) Where G(s) and H(s) are given as : 324 G(s) = s(s+6) H(S) : 1
The open loop transfer function of a humanoid's arm control system is given as: K G(s) = 2 s(s + 2s + 2) (a) Clearly locate all poles and zeros on a linear graph paper. Provide calculations for the following: asymptote angles, centroid for asymptotes, and departure angle from complex pole. (b) Plot the complete root locus, with the locus on the real axis is clearly shown. Use the scale of 4 cm : 1 unit for both axes and choose the longer side of the graph paper as the real axis.
For the following open loop transfer functions, identify the correct Bode plot from the Bode plots given below: Bode Plots: Magnitude (dB) Phase (deg) O 50 -100 -50 -150 -90 0 -135 -180 Magnitude (dB) a 225 Phase (deg) -270 -20 10:2 -40 -60 -80 -100 0 -90 -180 G(s) = -270 Transfer function: a. 1 10-1 101 O b. 2 O c. 3 O d. 4 S Bode Diagram 10° Frequency (rad/s) Bode Diagram (₁² +s+2)(x² +58 + Frequency (rad/s) s+16) 101 10¹ 10² % 2) Magnitude (dB) Phase (deg) Magnitude (dB) Phase (deg) 50 -50 -100 -45 -90 -135 -180 10/2 -60 -80 -100 -120 90 0 -90 -180 -270 10:2 10¹ 10" Bode Diagram 10° Frequency (rad/s) Bode Diagram 10° Frequency (rad/s) 10¹ 101 10² 102
P4. The open loop transfer function of a unity feedback system is given by G(s)= K s(as+1)(Bs+1) Determine the range of K for stability in terms of a and ß.
3- Nise (4.4) A unity feedback control system has the following open-loop transfer function: G(s) = 45+¹ Find expressions for 4s+1 45² its time response when is subjected to unit impulse input.

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with Consider the unity-feedback closed loop system shown in Figure 2 G(8) = + 10 8 8 Sketch the Bode plot of G(s). Explain what rules you used to plot it. Draw the frequency response in the polar coordinates, i.e., the magnitude is M(w) and the phase is (w).