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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

10. Given the unity-feedback system of Figure P11.1 in the text problems with K (s + 10)(s + 15) do the following: G (s) — s(s + 2)(s + 5)(s + 20) R(s) ++, C(s) G(s) a) Use frequency response methods to determine the value of gain, K, to yield a step response with a 20% overshoot. Make any required second-order approximations. b) Use MATLAB to test your second-order approximation by simulating the system for your designed value of K. Assume a unit step response. Display C(t) and compare the response with the desired specifications

10. Given the unity-feedback system of Figure P11.1 in the text problems with K (s + 10)(s + 15) do the following: G (s) — s(s + 2)(s + 5)(s + 20) R(s) ++, C(s) G(s) a) Use frequency response methods to determine the ...

lawrence tech
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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

9. Given a unity-feedback system with the forward-path transfer function G (s) — (s + 1)(s + 3)(s + 6) K Use MATLAB to do the following: a) draw the Bode plot b) draw the Nyquist diagram c) draw the Nichols chart d) find the range of gain, K, to yield stability. Use Bode plots and frequency response techniques. e) Find the phase margin and gain margin of the system f) Determine if the system is stable or not

9. Given a unity-feedback system with the forward-path transfer function G (s) — (s + 1)(s + 3)(s + 6) K Use MATLAB to do the following: a) draw the Bode plot b) draw the Nyquist diagram c) draw the Nichols chart d) find ...

lawrence tech
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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

8. The unity-feedback system shown in the figure below, with G(s) — (s2 + 4s + 8)(s + 10) K G(s) C(s) is to be designed to meet the following specifications: Overshoot: Less than 22% Settling time: Less than 1.6 seconds = 15 Do the following: a) Evaluate the performance of the uncompensated system operating at approximately 10% overshoot. b) Design a passive compensator to meet the desired specifications. c) Use MATLAB to simulate the compensated system. Compare the response with the desired specifications

8. The unity-feedback system shown in the figure below, with G(s) — (s2 + 4s + 8)(s + 10) K G(s) C(s) is to be designed to meet the following specifications: Overshoot: Less than 22% Settling time: Less than 1.6 seconds = 15 Do the following: a) Evaluate ...

lawrence tech
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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

7. For the unity-feedback system shown in the figure below, where K(s + 10)(s + 20) do the following: G(s) — (s + 30)(s2 — lOs + 100) G(s) C(s) a. Sketch the root locus, b. Find the range of gain, K, that makes the system stable. c. Find the value of K that yields a damping ratio of 0.707 for the system’s closed-loop dominant poles. d. Find the value of K that yields closed-loop critically damped dominant poles.

7. For the unity-feedback system shown in the figure below, where K(s + 10)(s + 20) a. Sketch the root locus, b. Find the range of gain, K, that makes the system stable. c. Find the value of K that yields ...

lawrence tech
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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

6. For the system shown in the figure below a) What value of K will yield a steady-state error in position of 0.01 for an input of (1/10)t ? b) What is the K„ for the value of K found in Part a? c) What is the minimum possible steady-state position error for the input given in Part a?

6. For the system shown in the figure below a) What value of K will yield a steady-state error in position of 0.01 for an input of (1/10)t ? b) What is the K„ for the value of K found ...

lawrence tech
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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

S. For the unity-feedback system of Figure P6.3 in the text problems with G(s) — (s2 +1)(s + 4)(s —1) K(s + 2) Use the Routh table to find the range of K for which there will be only two closed-loop, right-half-plane poles. R(s) + E(s)

S. For the unity-feedback system of Figure P6.3 in the text problems with G(s) — (s2 +1)(s + 4)(s —1) K(s + 2) Use the Routh table to find the range of K for which there will be only two closed-loop, right-half-plane poles. R(s) ...

lawrence tech
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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

4. Given the unity-feedback system of the figure below with 84 G(s) — s(s7 + Ss6 + 12s5 + 25s4 + 45.23 + SOs2 + 82s + 60) Use the Routh table to determine the following: a) How many poles of the closed-loop transfer function lie in the right half-plane. b) How many poles of the closed-loop transfer function lie in the left half-plane. c) How many poles of the closed-loop transfer function lie in the fa) axis d) Is this system stable? Circle one: Yes R(s) 1 + E(s) G(s) C(s)

4. Given the unity-feedback system of the figure below with 84 G(s) — s(s7 + Ss6 + 12s5 + 25s4 + 45.23 + SOs2 + 82s + 60) Use the Routh table to determine the following: a) How many poles of the closed-loop transfer ...

lawrence tech
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Answer
venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

3. Find the state space representation of the following transfer function (20 points)

3. Find the state space representation of the following transfer function (20 points)

lawrence tech
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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

2. Solve y(t) for the following state-space system. Assume zero initial conditions: x = ollx + [201140; y(t) = [1 2]x

2. Solve y(t) for the following state-space system. Assume zero initial conditions: x = ollx + [201140; y(t) = [1 2]x

lawrence tech
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venkyelectrical
venkyelectrical
Asked: April 26, 2022In: control systems engineering

1. For the circuit shown in Figure 1, find the values of R2 and C to yield 8% overshoot with a settling time of 1 ms for the voltage across the capacitor, with vi (t) as a step input. 1H R2 Figure 1

1. For the circuit shown in Figure 1, find the values of R2 and C to yield 8% overshoot with a settling time of 1 ms for the voltage across the capacitor, with vi (t) as a step input. 1H R2 Figure 1

lawrence tech
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1 2

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Recent Comments

  1. venkyelectrical on Bonus Problem (10 points): In this circuit, the op amp is IDEAL. The op amp is NOT operating in the linear region. In this Circuit, V+=V_. The op amp output saturates at +12v. The output is always at saturation, either positive or negative. The output will “toggle” as Vin crosses a “threshold” voltage. Because of the positive feedback, the threshold voltage changes depending on the state of the output voltage. Find the lower and upper values of the threshold voltages to 5 places of precision.
  2. venkyelectrical on Problem #3 Operational Amplifiers (35 pts): The op amp is IDEAL and operating in the linear region. Find the voltage gain (Av) of the circuit. If Vin = -2, find io.
  3. venkyelectrical on Problem #2 Operational Amplifiers (35 pts): Op amp is ideal and operating in the linear region. Find the node voltages in the table.
  4. venkyelectrical on Problem #I Linear Amplifiers (40 pts) (SHOW ALL WORK) In the Problem, all resistor values are in ohms, voltages are volts and currents are amps. Amp “A” is voltage-to-current, Amps “B” and “C” are current-to-voltage. Use /1 = 0.01(V1), v2 = 100(/2) and V3 = 50(/3). Use Vin shown in the table. Find all the values listed in the table. Hint: Observe that R3, R4 and R5 are m parallel.
  5. venkyelectrical on 3. This problem is on the quantization and encoding. Answer to the following: Assume round-off rule for uniform quantization. We have 10 samples from the analog signal and their quantization error qε are found to be distributed as, qε =[0.33, 0.36, -0.38, 0.22, -0.4, 0.07, 0.4, -0.18, -0.25, 0.38] (a) Decide the suitable value of quantization step size ∆. Give reasoning for your answer (3) (b) We assume that qε are uniformly distributed with its probability density function f ∆ (∆) =1 /∆ for the interval [-∆/2, +∆/2]. Calculate the quantization noise power Pqε for the value of ∆ you found in part (a). (3) (c) Per the quantization noise power you calculated in part (b), calculate the signal power S [Watt] if output Signal to Q-zation noise power ratio SNRo = 30 dB. (3) (d) If we encode the quantizer output with binary code with length ‘n’(integer), decide the minimum code length ‘n’ based on the condition given in part (c) (1)

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