Homework Answers
QUESTION 1 17 marks] Consider the following system: K(s 5) S+ 2 (s - 1)(s + 4) where K 2 0. Use a...
QUESTION 1 17 marks] Consider the following system: K(s 5) S+ 2 (s - 1)(s + 4) where K 2 0. Use any method to determine all values of K (if any) that result in a stable closed-loop system.
QUESTION 1 17 marks] Consider the following system: K(s 5) S+ 2 (s - 1)(s + 4) where K 2 0. Use any method to determine all values of K (if any) that result in a stable closed-loop system.
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controll...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller Sketch (by hand) and fully label a Nyquist plot with K-1 for each of the plants listed below.Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s)-2 (b) P(s)-1s3 (c) P(s) -4-8 s+2 (s-2) (s+10)
1. Consider the usual unity-feedback closed-loop control system with a...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller: 19 r - PGS-Try...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller: 19 r - PGS-Try P(s) Draw (by hand) and fully label a Nyquist plot with K = 1 for each of the plants listed below. Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s) = (b) P(s) = s(s+13 (6+2) (©) P(s) = 32(6+1)
Consider the model of a spring-mass-damper system, where the following parameter values are assum...
answer 3 and 4 please
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m 1,b 2,k 2. 3. a. Write down the transfer function of the system b. Choose a sample time for the system c. Find the pulse transfer function (use MATLAB 'c2d' command) d. Find the range of K for stability for the closed-loop sampled-data system 4. Consider a series RLC circuit driven by a voltage source with capacitor voltage as output....
Consider the model of a spring-mass-damper system, where the following parameter values are assum...
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m-1,b 2, k- 2. a. Write down the transfer function of the system b. Sketch a root locus for static controller gain K c. Find the range of K for stability
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m-1,b 2, k- 2. a. Write down the transfer function of the system b. Sketch a root locus for static controller...
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...
Consider the model of a small DC motor, where the following parameter values are assumed: R-10 L-10mH,J-0.01kgm0.0.05 2. ra a. Write down the transfer function of the system b. Choose a sample ti...
Consider the model of a small DC motor, where the following parameter values are assumed: R-10 L-10mH,J-0.01kgm0.0.05 2. ra a. Write down the transfer function of the system b. Choose a sample time for the system c. Find the pulse transfer function (use MATLAB 'c2d' command) d. Find the range of K for stability for the closed-loop sampled-data system
Consider the model of a small DC motor, where the following parameter values are assumed: R-10 L-10mH,J-0.01kgm0.0.05 2. ra a. Write...
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range ...
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01 R(s) E(s) Y(s) 10 +0.1 0.01s Figure 8P-24
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the bode plot and Nyquist diagrams and determine the range of proportional closed loop gain K for stability. (b) What positive gain K will yield a phase margin of 30 degrees ?
Problem 2: For a unity feedback system where the plant is defined as G(s) K s(s+3)(s...
Problem 2: For a unity feedback system where the plant is defined as G(s) K s(s+3)(s +5) a. Sketch the Nyquist Counter path and Nyquist diagram. Clearly show the real and imag- inary axis intercept points and the low and high frequency asymptotes. (10 pts) b. Using the Nyquist criterion, obtain the range of K in which the system can be stable, unstable, and also find the value of gain K for marginal stability. (7 pts) c. Calculate the frequency...
QUESTION 1 17 marks] Consider the following system: K(s 5) S+ 2 (s - 1)(s + 4) where K 2 0. Use any method to determine all values of K (if any) that result in a stable closed-loop system.
QUESTION 1 17 marks] Consider the following system: K(s 5) S+ 2 (s - 1)(s + 4) where K 2 0. Use any method to determine all values of K (if any) that result in a stable closed-loop system.
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller Sketch (by hand) and fully label a Nyquist plot with K-1 for each of the plants listed below.Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s)-2 (b) P(s)-1s3 (c) P(s) -4-8 s+2 (s-2) (s+10)
1. Consider the usual unity-feedback closed-loop control system with a...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller: 19 r - PGS-Try P(s) Draw (by hand) and fully label a Nyquist plot with K = 1 for each of the plants listed below. Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s) = (b) P(s) = s(s+13 (6+2) (©) P(s) = 32(6+1)
answer 3 and 4 please
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m 1,b 2,k 2. 3. a. Write down the transfer function of the system b. Choose a sample time for the system c. Find the pulse transfer function (use MATLAB 'c2d' command) d. Find the range of K for stability for the closed-loop sampled-data system 4. Consider a series RLC circuit driven by a voltage source with capacitor voltage as output....
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m-1,b 2, k- 2. a. Write down the transfer function of the system b. Sketch a root locus for static controller gain K c. Find the range of K for stability
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m-1,b 2, k- 2. a. Write down the transfer function of the system b. Sketch a root locus for static controller...
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...
Consider the model of a small DC motor, where the following parameter values are assumed: R-10 L-10mH,J-0.01kgm0.0.05 2. ra a. Write down the transfer function of the system b. Choose a sample time for the system c. Find the pulse transfer function (use MATLAB 'c2d' command) d. Find the range of K for stability for the closed-loop sampled-data system
Consider the model of a small DC motor, where the following parameter values are assumed: R-10 L-10mH,J-0.01kgm0.0.05 2. ra a. Write...
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01 R(s) E(s) Y(s) 10 +0.1 0.01s Figure 8P-24
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the bode plot and Nyquist diagrams and determine the range of proportional closed loop gain K for stability. (b) What positive gain K will yield a phase margin of 30 degrees ?
Problem 2: For a unity feedback system where the plant is defined as G(s) K s(s+3)(s +5) a. Sketch the Nyquist Counter path and Nyquist diagram. Clearly show the real and imag- inary axis intercept points and the low and high frequency asymptotes. (10 pts) b. Using the Nyquist criterion, obtain the range of K in which the system can be stable, unstable, and also find the value of gain K for marginal stability. (7 pts) c. Calculate the frequency...
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