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1) In this first problem, it is unclear whether the system is stable or...
No. 5 (6 points) Consider a system equation s+s +5s3+s1+2s+10-0. (1) Using Routh Table to determine...
No. 5 (6 points) Consider a system equation s+s +5s3+s1+2s+10-0. (1) Using Routh Table to determine if this system is stable, marginal stable or unstable. (2) How many roots are stable and how many roots are unstable?
Problem : Consider the systems A and B whose roots are shown below BI 1. Regarding stability, the systems are a) b) c) d) Both stable Both unstable A is unstable and B is stable A is stable and B is...
Problem : Consider the systems A and B whose roots are shown below BI 1. Regarding stability, the systems are a) b) c) d) Both stable Both unstable A is unstable and B is stable A is stable and B is unstable 2. The responses of the systems to step input are characterized as follows: a) Both are underdamped b) Both are overdamped c) A is underdamped and B is overdamped d) A is overdamped and B is underdamped 3....
Problem 1 Determine whether the structures shown are stable and statically determinate. For those that are,...
Problem 1 Determine whether the structures shown are stable and statically determinate. For those that are, determine the reactions and the internal forces. Use the method of joints. Clearly state the sign convention used. 110'10' 10' coilo | 3k 4k - Loi baik- 120 * *. 120) 20% 15% 125 15k 10k s 15k 10k s'
PROBLEM 1 Consider the transfer function T(S) =s5 +2s4 + 2s3 + 4s2 + s + 2 a) Using the Routh-Hurwitz method, determine whether the system is stable. If it is not stable, how many poles are in the...
PROBLEM 1 Consider the transfer function T(S) =s5 +2s4 + 2s3 + 4s2 + s + 2 a) Using the Routh-Hurwitz method, determine whether the system is stable. If it is not stable, how many poles are in the right-half plane? b) Using MATLAB, compute the poles of T(s) and verify the result in part a) c) Plot the unit step response and discuss the results. (Report should include: Code, Figure 1.Unit step response, answers and conclusion)
PROBLEM 1 Consider...
1. Use the Routh-Hurwitz test to determine if the system described by the following transfer function...
1. Use the Routh-Hurwitz test to determine if the system described by the following transfer function is stable. If the system is unstable, how many poles are outside the LHP? Use Matlab to check your answers. C() 10-8) R(s) s2 +7s +28 2. Repeat problem 1) above for the system with transfer function C (s) R(5s +Bs+ 40 s2 +2s+4 3. Use the Routh-Hurwitz test to determine if the system described by the following characteristic equation is stable. If the...
Show that the system is stable and the final answer is Z=N+P =-2-2-0, which means the...
Show that the system is stable and the final answer is Z=N+P =-2-2-0, which means the system stable. Also, make sure to find Gain margin (GM) and Phase margin (PM). Digital Compensator Plant R(s) c(s) G(s) Sensor For standard system as shown bellow, the open loop frequency response is as shown on the flowing page. Use the Nyquist Criterion to determine whether or not system is stable. Determine any applicable stability margins. Be sure to solve the problem step by...
Answer problem 2 fully: a and b 25 3k Problem 2 k. 2 Determine whether the...
Answer problem 2 fully: a and b
25 3k Problem 2 k. 2 Determine whether the structures shown are stable and statically determinate. For those that are, determine the reactions and the internal forces. Use the method of sections. ro 20' 20 S' 上
Problem 3 Determine whether each of the following system is memoryless, stable. Justify your answer time-invariant,...
Problem 3 Determine whether each of the following system is memoryless, stable. Justify your answer time-invariant, linear, causal or (a) y(t)r(t -2)+x(-t2) b) y(t) cos(3t)(t) (c) y(t) =ar(r)dT d) y(t)t/3) (e) y(t) =
1. Write the state-space equations for the system shown below ri (t) +2 (t) u (t) Figure 1: Syste...
1. Write the state-space equations for the system shown below ri (t) +2 (t) u (t) Figure 1: System of Problem#1 2. Evaluate the state transition matrix eA for the matrix below and find the homogenous solution given x (0) 1 1 ] A=10-21 3. Find the power lution in powers of x. Show the details of your work. s (b) y" +4y=0 4. Determine if either the Frobenus or regular power series could be the method of your choice...
Problem 4. For the following system determine the following: Refer to Lecture 7/16/19 | Geel K...
Problem 4. For the following system determine the following: Refer to Lecture 7/16/19 | Geel K (s) - (5-6)(8 +2) H(s) 1 a) How many poles does G(S) = G(S)Gp(s)H(s) have? b) If K = 1 will the closed loop system be stable? Hint: Can do this with matlab with sys = tf([1],conv([1-6], [1 2])); closed_loop_sys = sys/(1+ sys); then use the function roots([1 ... ) on the coefficients of the denominator of closed_loop_sys c) Repeat part (b) for K=...
No. 5 (6 points) Consider a system equation s+s +5s3+s1+2s+10-0. (1) Using Routh Table to determine if this system is stable, marginal stable or unstable. (2) How many roots are stable and how many roots are unstable?
Problem : Consider the systems A and B whose roots are shown below BI 1. Regarding stability, the systems are a) b) c) d) Both stable Both unstable A is unstable and B is stable A is stable and B is unstable 2. The responses of the systems to step input are characterized as follows: a) Both are underdamped b) Both are overdamped c) A is underdamped and B is overdamped d) A is overdamped and B is underdamped 3....
Problem 1 Determine whether the structures shown are stable and statically determinate. For those that are, determine the reactions and the internal forces. Use the method of joints. Clearly state the sign convention used. 110'10' 10' coilo | 3k 4k - Loi baik- 120 * *. 120) 20% 15% 125 15k 10k s 15k 10k s'
PROBLEM 1 Consider the transfer function T(S) =s5 +2s4 + 2s3 + 4s2 + s + 2 a) Using the Routh-Hurwitz method, determine whether the system is stable. If it is not stable, how many poles are in the right-half plane? b) Using MATLAB, compute the poles of T(s) and verify the result in part a) c) Plot the unit step response and discuss the results. (Report should include: Code, Figure 1.Unit step response, answers and conclusion)
PROBLEM 1 Consider...
1. Use the Routh-Hurwitz test to determine if the system described by the following transfer function is stable. If the system is unstable, how many poles are outside the LHP? Use Matlab to check your answers. C() 10-8) R(s) s2 +7s +28 2. Repeat problem 1) above for the system with transfer function C (s) R(5s +Bs+ 40 s2 +2s+4 3. Use the Routh-Hurwitz test to determine if the system described by the following characteristic equation is stable. If the...
Show that the system is stable and the final answer is Z=N+P =-2-2-0, which means the system stable. Also, make sure to find Gain margin (GM) and Phase margin (PM). Digital Compensator Plant R(s) c(s) G(s) Sensor For standard system as shown bellow, the open loop frequency response is as shown on the flowing page. Use the Nyquist Criterion to determine whether or not system is stable. Determine any applicable stability margins. Be sure to solve the problem step by...
Answer problem 2 fully: a and b
25 3k Problem 2 k. 2 Determine whether the structures shown are stable and statically determinate. For those that are, determine the reactions and the internal forces. Use the method of sections. ro 20' 20 S' 上
Problem 3 Determine whether each of the following system is memoryless, stable. Justify your answer time-invariant, linear, causal or (a) y(t)r(t -2)+x(-t2) b) y(t) cos(3t)(t) (c) y(t) =ar(r)dT d) y(t)t/3) (e) y(t) =
1. Write the state-space equations for the system shown below ri (t) +2 (t) u (t) Figure 1: System of Problem#1 2. Evaluate the state transition matrix eA for the matrix below and find the homogenous solution given x (0) 1 1 ] A=10-21 3. Find the power lution in powers of x. Show the details of your work. s (b) y" +4y=0 4. Determine if either the Frobenus or regular power series could be the method of your choice...
Problem 4. For the following system determine the following: Refer to Lecture 7/16/19 | Geel K (s) - (5-6)(8 +2) H(s) 1 a) How many poles does G(S) = G(S)Gp(s)H(s) have? b) If K = 1 will the closed loop system be stable? Hint: Can do this with matlab with sys = tf([1],conv([1-6], [1 2])); closed_loop_sys = sys/(1+ sys); then use the function roots([1 ... ) on the coefficients of the denominator of closed_loop_sys c) Repeat part (b) for K=...
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