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Show that the system is stable and the final answer is Z=N+P =-2-2-0, which means the...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put all your MATLAB codes and Simulink Diagram under the appendix. The system below is to be compensated to achieve a phase margin of 50 degrees. s +3 x(t) 5+2s+ 2s E-KH. yệt) Design gain and phase-lead compensator to achieve the desired PM of 45 degrees. +PART A: Uncompensated system analysis % created by Fakhera 2020 Determine the uncompensated PM and GM s=tf('s'); g= (5+3)/...
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b)....
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b). Nyqulst Diagram x 10 1.5 1- System: N Real: -9.08e-005 0.5- Imag: -5.62e-006 Frequency (rad/sec): -104 -0.5 -15 -1.5 0.5 0.5 1.5 1 2.5 3.5 Real Axis x 10 Figure Q5(b) K If the transfer function of the system is given as G(s) (s+10)(s+50)(s+150) determine the following: The closed loop stability of the system using Nyquist Stability Criterion. i) ii) Gain margin and phase...
2:50 PM Sun May 12 89%- X 2012 Spring All Exams.pdf 5. (30 pts) A unity feedback system has the loop transfer function shown below. a) Draw the complete Nyquist HG(s)-plane plot for both small K...
2:50 PM Sun May 12 89%- X 2012 Spring All Exams.pdf 5. (30 pts) A unity feedback system has the loop transfer function shown below. a) Draw the complete Nyquist HG(s)-plane plot for both small K and large K. Use the Nyquist Path which encloses the pole of HG(s) that is at the origin. No other path will be accepted. b) Determine whether the closed loop system is stable for both small K and large Argue in terms of the...
A closed-loop unity feedback system has the loop gain G(z) given below. (a) Show that the...
A closed-loop unity feedback system has the loop gain G(z) given below. (a) Show that the system is unstable using the Routh-Hurwitz criterion. (b) Show that the system is unstable by examining its Nyquist plot. (c) Use MATLAB to determine the gain margin of the system. (d) Now decrease the gain of the system by approximately 1 dB by setting G(z) 3. equal to Gn(z) as given below and show that the resulting system is stable by repeating steps (a)...
2. (a) For each sample of a discrete time signal x[n] as input, a system S...
2. (a) For each sample of a discrete time signal x[n] as input, a system S outputs the value y[n- . Determine whether the system S is i. linear ii. time-invariant 1ll. causal iv. stable Each of your answers should be supported by justification. In other words, show your reasoning (b) Consider a stable linear time-invariant (LTI) system with transfer function H(z). It is required to design a LTI compensator system G(z) that is in cascade with H(z) such that...
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY()...
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY() a) Assume C(s) = K. Determine the range of K for which the closed-loop system is stable via: (1.) the routh-hurwitz stability criteria, (ii.) the margin() command in Matlab, and (lii.) the rlocus command in Matlab. b) Assume a proportional controller of C(s) = K = 40, and a time delay T, located between the controller and plant. Determine the maximum T, value that...
This was given with a previous answer...if that helps with some of the solving? Need final answer...
this was given with a previous answer...if that helps with some of
the solving?
Need final answers boxed and a screenshot of MATLAB code
Aircraft Pitch Control (3/2) Consider the aircraft model shown in Figure 1. We will assume that the aircraft is in steady-cruise at constant altitude and velocity; thus, the thrust, drag, weight and lift forces balance each other in the x- and y directions. We will also assume that a change in pitch angle will not change...
solve quastion 3,4 and 5 B. Tasks and Guide 1. System description and Mathematical modeling The...
solve quastion 3,4 and 5
B. Tasks and Guide 1. System description and Mathematical modeling The antenna positioning system is shown in Fig. 1. In this problem we consider the yaw angle control system, where 0(t) is the yaw angle. Suppose that the gain of the power amplifier is 5 , and that the gear ratio and the angle sensor (the shaft encoder and the data hold) are such that (t)= 0.40(t) where the units of v,(t) are volts and...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put all your MATLAB codes and Simulink Diagram under the appendix. The system below is to be compensated to achieve a phase margin of 50 degrees. s +3 x(t) 5+2s+ 2s E-KH. yệt) Design gain and phase-lead compensator to achieve the desired PM of 45 degrees. +PART A: Uncompensated system analysis % created by Fakhera 2020 Determine the uncompensated PM and GM s=tf('s'); g= (5+3)/...
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b). Nyqulst Diagram x 10 1.5 1- System: N Real: -9.08e-005 0.5- Imag: -5.62e-006 Frequency (rad/sec): -104 -0.5 -15 -1.5 0.5 0.5 1.5 1 2.5 3.5 Real Axis x 10 Figure Q5(b) K If the transfer function of the system is given as G(s) (s+10)(s+50)(s+150) determine the following: The closed loop stability of the system using Nyquist Stability Criterion. i) ii) Gain margin and phase...
2:50 PM Sun May 12 89%- X 2012 Spring All Exams.pdf 5. (30 pts) A unity feedback system has the loop transfer function shown below. a) Draw the complete Nyquist HG(s)-plane plot for both small K and large K. Use the Nyquist Path which encloses the pole of HG(s) that is at the origin. No other path will be accepted. b) Determine whether the closed loop system is stable for both small K and large Argue in terms of the...
A closed-loop unity feedback system has the loop gain G(z) given below. (a) Show that the system is unstable using the Routh-Hurwitz criterion. (b) Show that the system is unstable by examining its Nyquist plot. (c) Use MATLAB to determine the gain margin of the system. (d) Now decrease the gain of the system by approximately 1 dB by setting G(z) 3. equal to Gn(z) as given below and show that the resulting system is stable by repeating steps (a)...
2. (a) For each sample of a discrete time signal x[n] as input, a system S outputs the value y[n- . Determine whether the system S is i. linear ii. time-invariant 1ll. causal iv. stable Each of your answers should be supported by justification. In other words, show your reasoning (b) Consider a stable linear time-invariant (LTI) system with transfer function H(z). It is required to design a LTI compensator system G(z) that is in cascade with H(z) such that...
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY() a) Assume C(s) = K. Determine the range of K for which the closed-loop system is stable via: (1.) the routh-hurwitz stability criteria, (ii.) the margin() command in Matlab, and (lii.) the rlocus command in Matlab. b) Assume a proportional controller of C(s) = K = 40, and a time delay T, located between the controller and plant. Determine the maximum T, value that...
this was given with a previous answer...if that helps with some of
the solving?
Need final answers boxed and a screenshot of MATLAB code
Aircraft Pitch Control (3/2) Consider the aircraft model shown in Figure 1. We will assume that the aircraft is in steady-cruise at constant altitude and velocity; thus, the thrust, drag, weight and lift forces balance each other in the x- and y directions. We will also assume that a change in pitch angle will not change...
solve quastion 3,4 and 5
B. Tasks and Guide 1. System description and Mathematical modeling The antenna positioning system is shown in Fig. 1. In this problem we consider the yaw angle control system, where 0(t) is the yaw angle. Suppose that the gain of the power amplifier is 5 , and that the gear ratio and the angle sensor (the shaft encoder and the data hold) are such that (t)= 0.40(t) where the units of v,(t) are volts and...
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