Homework Answers
Ans.1.(a.both stable)
2.(a.both are underdamped)
3.(a.natural frequency and damped frequency)
4.( a. Peak time and settling time )
5.(c.%overshoot)
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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...
Do only parts C and D 1. A second-order system has the following transfer function that...
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7)...
1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7) that will satisfy the overshoot and rise time requirements of the controller. a. What does the natural frequency of the system quantify? i. It is the frequency at which the system tends of oscillate when continuously subjected to an external harmonic force ii. It quantifies the frequency at which the system tends to oscillate in the absence of any driving force ili. None of...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
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...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
a) True or false b) c) If a second order system has a settling time of...
a) True or false
b)
c)
If a second order system has a settling time of 7 seconds, and a peak time of 3 seconds we may say that the system is stable. A system with a closed-loop transfer function of the form: 10(s + 7) T(S) (s + 10)(s + 20) has a(n) response. la réponse correcte n'est pas répertoriée | the correct answer is not listed critiquement amortie critically damped O non amortie | undamped sous-amortie | inderdamped...
The system has a steady-state gain of K = 23.8 rad/s/ and a time constant of...
The system has a steady-state gain of K = 23.8 rad/s/ and a time constant of t = 0.1 seconds. Let us further assume that you are required to design a PD position controller that has an overshoot of less than 5% and a peak time of no more than 0.2 seconds. 1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7) that will satisfy the overshoot and rise time requirements of the controller....
QUESTION a) With appropriate diagram explain the following compensator arrangements i. Cascade ii. Minor Loop Feedback...
QUESTION a) With appropriate diagram explain the following compensator arrangements i. Cascade ii. Minor Loop Feedback iii. Output Feedback (6 marks) b) Design a suitable lead compensator for a system with unity feedback and having open loop transfer function: Gis) = $(5+10) Determine the gain k meet the following specifications: Damping ratio { = 0.5 b. Undamped natural frequency w Hence determine the settling time, peak overshoot and peak time for a unit step input (10 marks). c) Sketch the...
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise...
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2b). i Determine the value in so that the damping ratio of the system is 0.5. (1 % marks) From the result obtained in , evaluate the transient response characteristics (rise...
Please solve part b and c and d !! Consider the closed loop system shown in...
Please solve part b and c and d !!
Consider the closed loop system shown in Figure 4. The root locus of that system is shown in Figure 5 (s+40s+8) R(s) Y(s) Figure 4 System block diagram of Problem 4 a) On the root locus plot, sketch the region of possible roots of the dominant closed-loop poles such that the system response to a unit step has the following time domain specifications. [5] i. Damping ratio, 20.76 ii. Natural frequency,....
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7) that will satisfy the overshoot and rise time requirements of the controller. a. What does the natural frequency of the system quantify? i. It is the frequency at which the system tends of oscillate when continuously subjected to an external harmonic force ii. It quantifies the frequency at which the system tends to oscillate in the absence of any driving force ili. None of...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
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...
1. Consider the unity feedback system shown in figure 1 with G(S) -2sti a) Determine the closed loop transfer function TF(s) γ(s) R(s) What are the poles and zeros of TF1(s)? [2 marks] b) For TF(s), calculate the DC gain, natural frequency and damping ratio. Classify TF1(s) as underdamped overdamped, critically damped or undamped [3 marks] c) Use the initial value theorem and final value theorem to determine the initial value (Mo) and final value (M) of the [2 marks]...
a) True or false
b)
c)
If a second order system has a settling time of 7 seconds, and a peak time of 3 seconds we may say that the system is stable. A system with a closed-loop transfer function of the form: 10(s + 7) T(S) (s + 10)(s + 20) has a(n) response. la réponse correcte n'est pas répertoriée | the correct answer is not listed critiquement amortie critically damped O non amortie | undamped sous-amortie | inderdamped...
The system has a steady-state gain of K = 23.8 rad/s/ and a time constant of t = 0.1 seconds. Let us further assume that you are required to design a PD position controller that has an overshoot of less than 5% and a peak time of no more than 0.2 seconds. 1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7) that will satisfy the overshoot and rise time requirements of the controller....
QUESTION a) With appropriate diagram explain the following compensator arrangements i. Cascade ii. Minor Loop Feedback iii. Output Feedback (6 marks) b) Design a suitable lead compensator for a system with unity feedback and having open loop transfer function: Gis) = $(5+10) Determine the gain k meet the following specifications: Damping ratio { = 0.5 b. Undamped natural frequency w Hence determine the settling time, peak overshoot and peak time for a unit step input (10 marks). c) Sketch the...
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2b). i Determine the value in so that the damping ratio of the system is 0.5. (1 % marks) From the result obtained in , evaluate the transient response characteristics (rise...
Please solve part b and c and d !!
Consider the closed loop system shown in Figure 4. The root locus of that system is shown in Figure 5 (s+40s+8) R(s) Y(s) Figure 4 System block diagram of Problem 4 a) On the root locus plot, sketch the region of possible roots of the dominant closed-loop poles such that the system response to a unit step has the following time domain specifications. [5] i. Damping ratio, 20.76 ii. Natural frequency,....
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