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For the following thermal heating system shown below: Controller Process E (8) Ris) Gs) G(s) Y8)...
help Consider the closed-loop system in Figure E5.19. where Gs)G 3s and H(s) -K (a) Determine...
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Consider the closed-loop system in Figure E5.19. where Gs)G 3s and H(s) -K (a) Determine the closed-loop transfer function T(s) Y(s)/R(s). (b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(s) 1/s (c) Select a value for Ka so that the steady-state error of the system response to a unit step input, R(s)1/s, is zero.
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stabl...
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop syste as a function of the design parameter...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) contro...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
Consider the closed-loop system shown in the following figure. RIS) Y(S) G(S) Let (52+1) 19. If...
Consider the closed-loop system shown in the following figure. RIS) Y(S) G(S) Let (52+1) 19. If the gain is changed from K= 6 to K=12, then the system steady-state output response for a unit-step input will improve by: Select one: o o o a. 33.33% b. 25% c. 50% o d. 75%
3. Design a PI or PD controller for the system G(8) = s(s+10) to meet the...
3. Design a PI or PD controller for the system G(8) = s(s+10) to meet the following specifications • Zero steady state error for unit step reference input • tr< 0.12 - . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the specifications. (b) Decide if C(s) needs an integrator. Plot the Bode plot of either G(s) or G(s)/s, depending on your choice. (c) Use sisotool (or iteration) to choose a...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
Automatic Control In unity feedback system with Gs) (s-IXs-2) With out controller, is this system stable, and why? For Gc K (proportional control) sketch the root locus. Find the range of K to mak...
Automatic Control
In unity feedback system with Gs) (s-IXs-2) With out controller, is this system stable, and why? For Gc K (proportional control) sketch the root locus. Find the range of K to make the system stable. Determine the range of K, so that the system has no overshoot Determine the range of K for steady state error to unit step input less than 20% a) b) c) d) e)
In unity feedback system with Gs) (s-IXs-2) With out controller,...
1. A feedback control system is shown in the figure below. Suppose that our design objective...
1. A feedback control system is shown in the figure below. Suppose that our design objective is to find a controller Gc(S) of minimal complexity such that our closed-loop system can track a unit step input with a steady-state error of zero. (b) Now consider a more complex controller Gc(S) = [ Ko + K//s] where Ko = 2 and Ki = 20. (This is a proportional + integral (PI) controller). Plot the unit step response, and determine the steady-state...
PLEASE, the problem states that Gc(s)=K/(s+90), not just K. The design has the controller with a...
PLEASE, the problem states that Gc(s)=K/(s+90), not just K.
The design has the controller with a real pole. S=-90.
In a standard unity-feedback system, lt the transfer finction of the plant be G(G) 1)(a5) → c(s) Design Objectives 1) The closed-loop system is stable 2) The percent overshoot of the unit-step response ofc(t) does not exceed 15% 3) The steady-state error due to a unit-step reference input is as small as possible.
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Consider the closed-loop system in Figure E5.19. where Gs)G 3s and H(s) -K (a) Determine the closed-loop transfer function T(s) Y(s)/R(s). (b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(s) 1/s (c) Select a value for Ka so that the steady-state error of the system response to a unit step input, R(s)1/s, is zero.
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop syste as a function of the design parameter...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
Consider the closed-loop system shown in the following figure. RIS) Y(S) G(S) Let (52+1) 19. If the gain is changed from K= 6 to K=12, then the system steady-state output response for a unit-step input will improve by: Select one: o o o a. 33.33% b. 25% c. 50% o d. 75%
3. Design a PI or PD controller for the system G(8) = s(s+10) to meet the following specifications • Zero steady state error for unit step reference input • tr< 0.12 - . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the specifications. (b) Decide if C(s) needs an integrator. Plot the Bode plot of either G(s) or G(s)/s, depending on your choice. (c) Use sisotool (or iteration) to choose a...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
Automatic Control
In unity feedback system with Gs) (s-IXs-2) With out controller, is this system stable, and why? For Gc K (proportional control) sketch the root locus. Find the range of K to make the system stable. Determine the range of K, so that the system has no overshoot Determine the range of K for steady state error to unit step input less than 20% a) b) c) d) e)
In unity feedback system with Gs) (s-IXs-2) With out controller,...
1. A feedback control system is shown in the figure below. Suppose that our design objective is to find a controller Gc(S) of minimal complexity such that our closed-loop system can track a unit step input with a steady-state error of zero. (b) Now consider a more complex controller Gc(S) = [ Ko + K//s] where Ko = 2 and Ki = 20. (This is a proportional + integral (PI) controller). Plot the unit step response, and determine the steady-state...
PLEASE, the problem states that Gc(s)=K/(s+90), not just K.
The design has the controller with a real pole. S=-90.
In a standard unity-feedback system, lt the transfer finction of the plant be G(G) 1)(a5) → c(s) Design Objectives 1) The closed-loop system is stable 2) The percent overshoot of the unit-step response ofc(t) does not exceed 15% 3) The steady-state error due to a unit-step reference input is as small as possible.
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