Homework Answers
matlab:
clc;
clear all;
close all;
s=tf('s');
g=2/(s^2+2*s+9);
step(g)
Add Answer to:
Consider the following systems to explore the effects of an additional pole. (1) 762 +28 +9(8+1)...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
3.) The designs in parts 1.) and 2.) where found to require an actuator signal that...
3.) The designs in parts 1.) and 2.) where found to require an actuator signal that is too large. To solve this problem a lead/lag compensator of the form D(s) 37.5375 s +45 +525s+0.0325 was used (a) Use Matlab to plot the root-locus with the lead/lag compensator indicating the locations and values of the dominant closed-loop poles. (b) Use Matlab to plot the step response. (c) What are the rise-time, percent-overshoot, settling-time, and steady-state error in response to a unit-step...
Control and System Matlab and Simulink
Design of Lead Compensator With Matlab...G(s) = 9/(s^2+0.5s) and Gc(s) = 1Transfer Function, maximum overshoot...DESIGN of a LEAD COMPENSATOR with MATLABFor the figure below, G(s)=9 / s(s+0.5)a) For the compensator Gc(s)=1 Obtain- Transfer function,- Maximum overshoot and settling time for unit-step input- Drawi. unit step-response curve in MATLAB.ii. unit ramp-response curve in MATLAB.iii. Root- locus curve in MATLAB- Obtain steady state error for unit-ramp inputb) Design a lead compensator Gc(s) to shift the poles at new locations of s₁=-4+j4 and...
2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step ...
2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step responses by the PLL a. overdamped, b. underdamped, c. critically damped; 3. calculate the phase step response's following parameters: a. b. c. d. rise time T peak time Tp (if applicable) percent overshoot %OS(if applicable) settling time T, c) calculate the steady state phase error lim0e(t) for both PLL types, and draw conclusions whether your PLL can track the: i. incoming signal's...
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Chec...
Need b and c
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Check if the dominant poles concept is applicable (show your pole-zero skctch) to the system 630 G(s) (s2 16s 63) (s1.4s 2) and if it is, then i. Obtain the equivalent second order system transfer function i. Calculate the time to peak, overshoot and settling time iii. Sketch the second order system step response with the calculated parameters marked in the...
these are useful formjlas to solve this problem please show all work! thank you 2.) Design...
these are useful formjlas to solve this problem
please show all work! thank you
2.) Design compensator for zero steady-state error with 10% overshoot and 0.4s of Peak time for the open loop transfer function G specified below. Sketch the comparison between uncompensated and compensated responses. Also compare their root locus. Clearly mention the improvements achieved after compensation. (50 points = 10 pts for analyzing uncompensated system+5 pts for identifying controller type+25 pts for controller design+5 pts for response comparison+5...
3. Consider a system with the following state equation h(t)] [0 0 21 [X1(t) [x1(t) y(t)...
3. Consider a system with the following state equation h(t)] [0 0 21 [X1(t) [x1(t) y(t) [0.1 0 0.1x2(t) X3(t) The unit step response is required to have a settling time of less than 2 seconds and a percent overshoot of less than 5%. In addition a zero steady-state error is needed. The goal is to design the state feedback control law in the form of u(t) Kx(t) + Gr(t) (a) Find the desired regon of the S-plane for two...
Consider the following systems with and without the constant gains. Find the constant gains k, and...
Consider the following systems with and without the constant gains. Find the constant gains k, and k2 such that the following conditions are satisfied for a unit step response: i. ii. Percentage overshoot of system 2 is half of that of system 1 The steady state values of the two systems remains the same Further, find the peak value, rise time and 2% settling time of system 2. U(s) Y(s) 8s2 + 20s + 18 SvstemI U(s) Y(s) 8s2 +...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
3.) The designs in parts 1.) and 2.) where found to require an actuator signal that is too large. To solve this problem a lead/lag compensator of the form D(s) 37.5375 s +45 +525s+0.0325 was used (a) Use Matlab to plot the root-locus with the lead/lag compensator indicating the locations and values of the dominant closed-loop poles. (b) Use Matlab to plot the step response. (c) What are the rise-time, percent-overshoot, settling-time, and steady-state error in response to a unit-step...
2. then design the LF components Ri. R2,and C to produce and plot with Matlab the following step responses by the PLL a. overdamped, b. underdamped, c. critically damped; 3. calculate the phase step response's following parameters: a. b. c. d. rise time T peak time Tp (if applicable) percent overshoot %OS(if applicable) settling time T, c) calculate the steady state phase error lim0e(t) for both PLL types, and draw conclusions whether your PLL can track the: i. incoming signal's...
Need b and c
[Q-1, 12 Marks] Answer the following briefly: (Imprecise answers will get zero marks) 1· (a) Check if the dominant poles concept is applicable (show your pole-zero skctch) to the system 630 G(s) (s2 16s 63) (s1.4s 2) and if it is, then i. Obtain the equivalent second order system transfer function i. Calculate the time to peak, overshoot and settling time iii. Sketch the second order system step response with the calculated parameters marked in the...
these are useful formjlas to solve this problem
please show all work! thank you
2.) Design compensator for zero steady-state error with 10% overshoot and 0.4s of Peak time for the open loop transfer function G specified below. Sketch the comparison between uncompensated and compensated responses. Also compare their root locus. Clearly mention the improvements achieved after compensation. (50 points = 10 pts for analyzing uncompensated system+5 pts for identifying controller type+25 pts for controller design+5 pts for response comparison+5...
3. Consider a system with the following state equation h(t)] [0 0 21 [X1(t) [x1(t) y(t) [0.1 0 0.1x2(t) X3(t) The unit step response is required to have a settling time of less than 2 seconds and a percent overshoot of less than 5%. In addition a zero steady-state error is needed. The goal is to design the state feedback control law in the form of u(t) Kx(t) + Gr(t) (a) Find the desired regon of the S-plane for two...
Consider the following systems with and without the constant gains. Find the constant gains k, and k2 such that the following conditions are satisfied for a unit step response: i. ii. Percentage overshoot of system 2 is half of that of system 1 The steady state values of the two systems remains the same Further, find the peak value, rise time and 2% settling time of system 2. U(s) Y(s) 8s2 + 20s + 18 SvstemI U(s) Y(s) 8s2 +...
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