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what about the calculation for pole location in part A and
gain in part D?
help...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value for kp. However, with the knowledge at this point, you can compute the pole locations without actually knowing kp (simply double the zero-order term in the denominator polyno- mial). Problem 2 You are confronted with a process that has the unknown transfer function G(s). It...
Give me the explanation plz 2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) =...
Give me the explanation plz
2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) = and the feedback controller, K, is a simple proportional gain (K>0).v R(z) E(z) S+10 Controller ZOH Plant Figure 2* i)o In order to directly design a digital controller in the z-domain, the plant P(s) 6. needs to be discretised as P(z). Find the ZOH...
. (15 points) An unstable system can be stabilized by using negative feedback with a gain...
. (15 points) An unstable system can be stabilized by using negative feedback with a gain K in the feedback loop. For instance, consider an unstable system with transfer function which has a pole in the right-hand s-plane, making the impulse response of the system h) grow as increases. Use negative feedback with a gain K> 0 in the feedback loop, and put H) in the forward loop. Draw a block diagram of the system. Obtain the transfer function Gus)...
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%....
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%. (ii)The settling time is less than 4 seconds Note: , 4.6 M. = exp CO 40% (b)What are the three elements in a PID controller? Considering each in turn, explain the main ways in which varying the parameters affects the closed-loop system...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) =...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
What are the steps in solving this with applying Z transforms the given information. Problem 1....
What are the steps in solving this with applying Z transforms
the given information.
Problem 1. The block diagram of a control system of position control is shown in the figure below: r(t) m e lt) / e (KT) c(t) Digital controller (KT) Zero order u(t) hold Ge(s) Let T = 0.1 sec. Gp = 8(6+2) 1. Design a digital PD controller using the root locus method such that the desired closed-loop pole locations at 21,2 = 0.8187 +0.5j. (20...
Problem 3: Consider a unity feedback system with a plant model given by 10(s- 5) and a controller...
Problem 3: Consider a unity feedback system with a plant model given by 10(s- 5) and a controller given by s + p for K 0 and some real z and p. a) Use the root-locus technique to determine the sign of z and p so that the closed-loop system is stable for all K E (0, K) for some Ku> 0. b) Sketch the possible forms of the root-locus in terms of the pole and zero locations of Ge(s)....
= θ = turret angle ω-turret angular rate x2 = angular acceleration produced by hydraulic drive x3 x-q = hydraulic servo...
= θ = turret angle ω-turret angular rate x2 = angular acceleration produced by hydraulic drive x3 x-q = hydraulic servo valve displacement K, u-control input to servo valve Ku = servo motor gan Jturret inertia Ω.-motor natural frequency The quantities d, d, and d represent disturbances, including effects of nonlinearities not accounted for by the K-differential pressure feedback coefficient lincarized model K servo valve gairn After simplification by combining the feedback loops around the integrators, the equivalent block diagram,...
only Q 1 please is is the last homework. 1. Compare and contrast designing via gain versus designing via compensation (what's the same? what's different? advantages? disadvantages? etc.)....
only Q 1 please
is is the last homework. 1. Compare and contrast designing via gain versus designing via compensation (what's the same? what's different? advantages? disadvantages? etc.). Also, discuss the effects of adding a zero or a pole. Solution: 2. What kind of compensation improves steady state error? List all and indicate whether they are active or passive. Solution: 3. Cascade compensation to improve transient response is based upon what pole-zero placement of the compensator? Also, state the reasons...
Please solve parts (a) and (b) neatly and show problem solving. Ignore reference to part 1, but please still plot the root loci. For the system given in Figure 1 a) Design a PD compensator with the t...
Please solve parts (a) and (b) neatly and show problem solving.
Ignore reference to part 1, but please still plot the root
loci.
For the system given in Figure 1 a) Design a PD compensator with the transfer function: to give a dominant root of the closed-loop characteristic equation of the compen- sated system at s -1+j1 (i.e., a settling time Ts of less than 6 seconds and a maximum overshoot Mo of less than 10%). Required Pre-Practical work] (b)...
E. If you double the value of kp, what are the new closed-loop pole locations and [5 points] how much overshoot does the step response have? Hint: It is possible to determine the original value for kp. However, with the knowledge at this point, you can compute the pole locations without actually knowing kp (simply double the zero-order term in the denominator polyno- mial). Problem 2 You are confronted with a process that has the unknown transfer function G(s). It...
Give me the explanation plz
2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) = and the feedback controller, K, is a simple proportional gain (K>0).v R(z) E(z) S+10 Controller ZOH Plant Figure 2* i)o In order to directly design a digital controller in the z-domain, the plant P(s) 6. needs to be discretised as P(z). Find the ZOH...
. (15 points) An unstable system can be stabilized by using negative feedback with a gain K in the feedback loop. For instance, consider an unstable system with transfer function which has a pole in the right-hand s-plane, making the impulse response of the system h) grow as increases. Use negative feedback with a gain K> 0 in the feedback loop, and put H) in the forward loop. Draw a block diagram of the system. Obtain the transfer function Gus)...
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%. (ii)The settling time is less than 4 seconds Note: , 4.6 M. = exp CO 40% (b)What are the three elements in a PID controller? Considering each in turn, explain the main ways in which varying the parameters affects the closed-loop system...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
What are the steps in solving this with applying Z transforms
the given information.
Problem 1. The block diagram of a control system of position control is shown in the figure below: r(t) m e lt) / e (KT) c(t) Digital controller (KT) Zero order u(t) hold Ge(s) Let T = 0.1 sec. Gp = 8(6+2) 1. Design a digital PD controller using the root locus method such that the desired closed-loop pole locations at 21,2 = 0.8187 +0.5j. (20...
Problem 3: Consider a unity feedback system with a plant model given by 10(s- 5) and a controller given by s + p for K 0 and some real z and p. a) Use the root-locus technique to determine the sign of z and p so that the closed-loop system is stable for all K E (0, K) for some Ku> 0. b) Sketch the possible forms of the root-locus in terms of the pole and zero locations of Ge(s)....
= θ = turret angle ω-turret angular rate x2 = angular acceleration produced by hydraulic drive x3 x-q = hydraulic servo valve displacement K, u-control input to servo valve Ku = servo motor gan Jturret inertia Ω.-motor natural frequency The quantities d, d, and d represent disturbances, including effects of nonlinearities not accounted for by the K-differential pressure feedback coefficient lincarized model K servo valve gairn After simplification by combining the feedback loops around the integrators, the equivalent block diagram,...
only Q 1 please
is is the last homework. 1. Compare and contrast designing via gain versus designing via compensation (what's the same? what's different? advantages? disadvantages? etc.). Also, discuss the effects of adding a zero or a pole. Solution: 2. What kind of compensation improves steady state error? List all and indicate whether they are active or passive. Solution: 3. Cascade compensation to improve transient response is based upon what pole-zero placement of the compensator? Also, state the reasons...
Please solve parts (a) and (b) neatly and show problem solving.
Ignore reference to part 1, but please still plot the root
loci.
For the system given in Figure 1 a) Design a PD compensator with the transfer function: to give a dominant root of the closed-loop characteristic equation of the compen- sated system at s -1+j1 (i.e., a settling time Ts of less than 6 seconds and a maximum overshoot Mo of less than 10%). Required Pre-Practical work] (b)...
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