1. (35%). Match the transfer functions H,(s) to He(s) to the step responses shown below (justify...
Assume the following closed-loop system with a PID controller. Match the step responses with the appropriate controller parameters. R(s) + PID Y(s) Controller G(s) 1. Step Response 1.5 data 0.5 0 10 40 50 20 30 Time (seconds) Kp = 2, Td = 1, Ti = 5 2. Step Response 1.5 =1, Kp = 5, Td Ti = 5 0.5 D 10 40 50 Кр = 10, Td = 1, T = 5 20 30 Time (seconds) Step Response 3....
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Explain it step by step please
11. Determine the structure of the transfer functions and their parameters from the step responses shown in Figures 6 and 7 Step response of a linear system 3 2.5 2 1.5 0.5 0 -0.5 -1 2.5 3 1.5 Time [s 0.5 Figure 6: System
Apr. 17, 2019 Name PROBLEMİ: (30%) (a) Match the following unit step response curves with the system dynamic equations. (15%) Step Rosponse 2.5 1.5 0.5 10 Time (seconds) (b) A 2nd-order system is given a step input. Make an accurate drawing of the complex plane that shows the pole locations corresponding to no overshoot, and 2% settling time between 2 and 3 seconds. (You need to show the calculation) (15%)
Apr. 17, 2019 Name PROBLEMİ: (30%) (a) Match the following...
A speed-time graph is shown below: Speed vs. Time Speed (cm/s) -> Time (seconds) What is the average acceleration of the object represented in the graph above over the eight seconds? 0.5 cm/s 1.0 cm/s2 1.5 cm/s2 2.0 cm/s2 An object starts at rest. Its acceleration over 30 seconds is shown in the graph below: Acceleration vs. Time Acceleration (m/s) 153 Time is) 205 In the graph above, what is the instantaneous speed of the object after the first five...
1: The plot shown below represents the step response of a second-order LTI system (with input (t) and output y(t)) with zero initial conditions. From the step response: (a) Estimate the peak time tp, and the maximum percentage overshoot %Mp. (b) Estimate the natural frequency wn and the damping ratio c. (c) Derive a differential equation corresponding to this system using the results of parts (a) and (b). Step Response X: 085 Y: 1.261 Amplitude 0 0.5 1 1.5 2...
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Case the confidence in the second-order approxima- tion during design, but then simulate the completed design. Let us look at an example that compares the responses of two different three- pole systems with that of a second-order system. Example 4.8 Comparing Responses of Three-Pole Systems PROBLEM: Find the step response of each of the transfer functions shown in Eqs. (4.62) through (4.64) and compare them. 24.542 T1 (s) 4s+24.542 (4.62) 245.42 T2(s) = (4.63) (s+10)(s24s+...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of Gp(s) if it is desired that the uncompensated system has a 10% OS (overshoot) to a step input. (4 points) a 5% overshoot and a peak time Tp 3.1 meets the requirements described in part (b) and achieves zero steady state (b) Compute the desired...
Please solve these using matlab
Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
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...