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2. (30 points) For the closed-loop control system shown below, C(s) R(s) 0.5 3s +1 1) Please find...
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
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Consider the closed-loop system in Figure E5.19. where Gs)G 3s and H(s) -K (a) Determine the closed-loop transfer function T(s) Y(s)/R(s). (b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(s) 1/s (c) Select a value for Ka so that the steady-state error of the system response to a unit step input, R(s)1/s, is zero.
A closed-loop control system has Gc(s) = 10, G(s) = (s+50)/(s^2+60s+500), and H(s) = 1. a) Find the transfer function Y(s)/R(s). b) Plot the pole-zero map of the transfer function. c) Find the response y(t) to a unit step input. d) Find the steady-state (final) value of the output.
Q2 (a) Consider the control system shown in Figure Q1 (a). Obtain the closed-loop transfer function of this system and by using MATLAB obtain the unit step response of this closed loop system - R(S) c(s) 36+1) (s + 1) Figure Q2 (a) (b) A sampler and a zero-order hold element were inserted into the system in Figure Q1(a) as shown in Figure Q1(b). Obtain the closed-loop pulse transfer function of this system and by using MATLAB or otherwise, obtain...
R(s) Q1 (25p). The closed loop control system is shown in the figure. The response of the control system to a unit step reference input is shown in below. C(s) Kp 0.6 S2 + 5s + A 4 a) Find and wn. b) Find Ke and A c) If we use a proportional-integral (PI) controller instead of a proportional (P) controller, how the graph would be expected to change. For two different integral coefficients (bigger Ki_1 and smaller K_2), make...
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Q1. Based on figure below show open loop and closed loop response in a single scope. [30] 5 0.5 3s+1 Step Gain Scope Transfer Fcn
Q1. Based on figure below show open loop and closed loop response in a single scope. [30] 5 0.5 3s+1 Step Gain Scope Transfer Fcn
A closed-loop control system is shown in Figure 3 7000 +52 + 700s +1200) 1 Figure 3 A. Determine the transfer function T(s) = Y(s)/R(s). B. Use a unit step input, R(s) = 1/s, and obtain the partial expansion for y(s). C. Predict the final value of y(t) for the unit step input.
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Problem 8: A control system for an automatic fluid dispenser is shown below: 125 pointsl Y(s) K6s + 12) Obtain the Closed-loop Transfer Function for the above block diagram. Simulate the system for a unit step input for the following values of K: 15, 30 and 50 On a single graph, plot the response curves for all three cases, for a simulation time of 20 seconds....
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
A satellite is effectively a double integrator plant, ie. Ps)-, for which a unity-feedback closed-loop control is implemented as shown in the figure below, with controller C R(S) Ys) for Ke varying from 0 to to is shown below: The root loci off Root Locus 0.8 0.6 0.4 x 0.2 -0.2 0.4 0.6 0.8 0 -0.5 -2 2.5 Real Axis Please answer the following questions: i) For certain range of Kc value, the step response of the closed-loop system has...