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Question 3(25 Marks (a) Find the transfer function of the system shown in figure 2 1F 1 Ohm 1F 1 ...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in...
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
[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...
VHQ-2, Problem 2: A negative unity feedback system with a forward path transfer function Ka K...
VHQ-2, Problem 2: A negative unity feedback system with a forward path transfer function Ka K (Tm8+1) for some scalar gains Ka, K and time constantTm of Write down the system's transfer function. Assuming that K-2, find the values of Ka and Tm so that the system has the fastest response to a step input with no overshoot and a settling time of 0.2 seconds
Nip rolls Bridle Surface winder Center-driven feedback Figure 5 Question 2 (20 marks) The feed forward transfer functio...
Nip rolls Bridle Surface winder Center-driven feedback Figure 5 Question 2 (20 marks) The feed forward transfer function of an automated manufacturing process is given by K(s + 3) where K is the proportional controller gain. The root locus is shown in Figure 6 a) Determine the range of values of K for which the closed loop system will exhibit an (10 marks) oscillatory response. b) Determine a value of K that gives a damping ratio,-0.707 and a settling time,...
Question 3 A high quality telescope is represented using a transfer function, shown in Figure 3. It needs to follow a trajectory described by input E(s) exactly in order to track a star. The outp...
Question 3 A high quality telescope is represented using a transfer function, shown in Figure 3. It needs to follow a trajectory described by input E(s) exactly in order to track a star. The output C(s) is the angle of the telescope E(s) 7 C) Figure 3: A System expressed as a Transfer Function (a) Convert the system into state space form (b) Find the steady state error when a unity step input is applied. (c) Is your answer to...
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...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlle...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlled with a unity-feedback system shown below, R(s) + Where Ge is the controller transfer function 3. Lead/Lag Compensator (a) Design a compensator such that the settling time of the compensated system T < 0.02 sec (Use 5% definition), and maximum overshoot of the compensated system is Mp 20%. Clearly explain all your steps. (b) Build a simulink model and use the compensator you designed above....
6) Consider the feedback system in Figure 1 with the loop transfer function a) [8 Marks]...
6) Consider the feedback system in Figure 1 with the loop transfer function a) [8 Marks] Plot the Bode diagram for this loop transfer function b) 10 Marks] Determine the frequency at which the gain has unit magnitude and compute the phase angle at that frequency. Controller Process G(s)Y(s) Figure 1
thx!!!!
Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
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...
VHQ-2, Problem 2: A negative unity feedback system with a forward path transfer function Ka K (Tm8+1) for some scalar gains Ka, K and time constantTm of Write down the system's transfer function. Assuming that K-2, find the values of Ka and Tm so that the system has the fastest response to a step input with no overshoot and a settling time of 0.2 seconds
Nip rolls Bridle Surface winder Center-driven feedback Figure 5 Question 2 (20 marks) The feed forward transfer function of an automated manufacturing process is given by K(s + 3) where K is the proportional controller gain. The root locus is shown in Figure 6 a) Determine the range of values of K for which the closed loop system will exhibit an (10 marks) oscillatory response. b) Determine a value of K that gives a damping ratio,-0.707 and a settling time,...
Question 3 A high quality telescope is represented using a transfer function, shown in Figure 3. It needs to follow a trajectory described by input E(s) exactly in order to track a star. The output C(s) is the angle of the telescope E(s) 7 C) Figure 3: A System expressed as a Transfer Function (a) Convert the system into state space form (b) Find the steady state error when a unity step input is applied. (c) Is your answer to...
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...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlled with a unity-feedback system shown below, R(s) + Where Ge is the controller transfer function 3. Lead/Lag Compensator (a) Design a compensator such that the settling time of the compensated system T < 0.02 sec (Use 5% definition), and maximum overshoot of the compensated system is Mp 20%. Clearly explain all your steps. (b) Build a simulink model and use the compensator you designed above....
6) Consider the feedback system in Figure 1 with the loop transfer function a) [8 Marks] Plot the Bode diagram for this loop transfer function b) 10 Marks] Determine the frequency at which the gain has unit magnitude and compute the phase angle at that frequency. Controller Process G(s)Y(s) Figure 1
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