If the setpoint is a step signal, select the simplest controller (fewest terms) that ensures steady-state error = 0.
Options :
PI
P
PID
PD
ON-OFF
PID pole placement
Homework Answers
![Gc(S) y (39 RS s(s+1) As Plant Gp = sist1] unit step input /step input in applied, loe RLD) : les - Position foror Constant I](http://img.homeworklib.com/questions/271925c0-209a-11eb-bc79-bb9ec0c9b415.png?x-oss-process=image/resize,w_560)
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If the setpoint is a step signal, select the simplest controller
(fewest terms) that ensures steady-state...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
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...
Matlab 2. A PID controller allows one to adjust the performance of a plant to the...
Matlab
2. A PID controller allows one to adjust the performance of a plant to the designer's specifications. The following system is given (s+1)(0.2 s+ 1 )(0.04 s + 1 )(0.00%+1) Create this system symbolically in Matlab. Use the command expand to get it in the form of a ratio of polynomials. Use the coefficients to create a transfer function. Import the transfer function to 'pidTuner. There is no perfect controller. So, to achieve the best result, one has to...
With an amplitude of 10 using a step input function what will the open loop steady...
With an amplitude of 10 using a step input function what
will the open loop steady state error?
0, 2, 5, or 10?
Where would the zero be located if a PD controller is
used and a desired rise time of 260 ms and percent overshoot of 5%
is desired?
-40, -30, -25, -20
The plant is then modified so that G(s) = .95(s+15) with
a step function input of amplitude 2, what will the static error
coefficient be?
unity...
plz solve this problem [10] Consider the system shown below. Design the PD controller such that the closed loop syst...
plz solve this problem
[10] Consider the system shown below. Design the PD controller such that the closed loop system satisfies the following specifications. a) The steady-state error with respect to a step disturbance W (s) is no more than 10 %. b) The third order system gives a dominant 2nd order response such that the third pole s=p satisfies p 10wn, where Zwn is the damping constant. |W(s) Y(s) 1 E(S)Kp+Kps R(s) s(s+10)
[10] Consider the system shown below....
The objective of the controller design in Fig. 1 is to find the controller Gc(s) such...
The objective of the controller design in Fig. 1 is to find the
controller Gc(s) such that I.)The closed-loop system is stable
ii.)The output of the system above (y(t)) can track the reference
input r(t) = At (A>0 is any real number). Use the Nyquist plot
and Nyquist criterion to show that: a.)The portional controller
Gc(s)=K can achieve asymptotic tracking of the ramp input r(t)=At
but cannot meet the stability requirement for 0<K<+inf. b.)
Can the PI controller Gc(s)=K(1+10/s) be...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller Plant R(s) + E(s) C(s) G2(s) Ideally you want your controller design to reject a step disturbance input at D(s). This means that in the steady state for D(s)-1, the value of Y(s) is unchanged (a) Ignoring the input R(s), what is the transfer function器in terms of Gi(s) and G2(s)? (b) For G1(s)Ks 2) and G2(s)0419 what is the steady state error resulting from...
a. Design a state feedback controller with integral control to yield a 10% overshoot and a...
a. Design a state feedback controller with integral control to yield a 10% overshoot and a settling time of 0.5 sec. (tip: place the third pole to have the same real part as the two dominant, complex poles.) b. Assume that the system is initially relaxed at t=0. With the controller design in (c), what is the steady-state response y(t) excited by the unit step reference signal r(t)=1, for .
Design Project #1 : Design of PID Controller Design a PID controller so that the step...
Design Project #1 : Design of PID Controller Design a PID controller so that the step response of the following closed-loop system satisfy (settling time) 3sec, POS(% overshoot) 20%, and steady state tracking error (ess)<0. R(s) Y(s) K, ss +1 If you can reduce both settling time and overshoot, then it would be much better. To verify your answer, you should use Matlab simulink and show that your answer is correct in your report. Describe the detailed design procedure (as...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
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...
Matlab
2. A PID controller allows one to adjust the performance of a plant to the designer's specifications. The following system is given (s+1)(0.2 s+ 1 )(0.04 s + 1 )(0.00%+1) Create this system symbolically in Matlab. Use the command expand to get it in the form of a ratio of polynomials. Use the coefficients to create a transfer function. Import the transfer function to 'pidTuner. There is no perfect controller. So, to achieve the best result, one has to...
With an amplitude of 10 using a step input function what
will the open loop steady state error?
0, 2, 5, or 10?
Where would the zero be located if a PD controller is
used and a desired rise time of 260 ms and percent overshoot of 5%
is desired?
-40, -30, -25, -20
The plant is then modified so that G(s) = .95(s+15) with
a step function input of amplitude 2, what will the static error
coefficient be?
unity...
plz solve this problem
[10] Consider the system shown below. Design the PD controller such that the closed loop system satisfies the following specifications. a) The steady-state error with respect to a step disturbance W (s) is no more than 10 %. b) The third order system gives a dominant 2nd order response such that the third pole s=p satisfies p 10wn, where Zwn is the damping constant. |W(s) Y(s) 1 E(S)Kp+Kps R(s) s(s+10)
[10] Consider the system shown below....
The objective of the controller design in Fig. 1 is to find the
controller Gc(s) such that I.)The closed-loop system is stable
ii.)The output of the system above (y(t)) can track the reference
input r(t) = At (A>0 is any real number). Use the Nyquist plot
and Nyquist criterion to show that: a.)The portional controller
Gc(s)=K can achieve asymptotic tracking of the ramp input r(t)=At
but cannot meet the stability requirement for 0<K<+inf. b.)
Can the PI controller Gc(s)=K(1+10/s) be...
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller Plant R(s) + E(s) C(s) G2(s) Ideally you want your controller design to reject a step disturbance input at D(s). This means that in the steady state for D(s)-1, the value of Y(s) is unchanged (a) Ignoring the input R(s), what is the transfer function器in terms of Gi(s) and G2(s)? (b) For G1(s)Ks 2) and G2(s)0419 what is the steady state error resulting from...
Design Project #1 : Design of PID Controller Design a PID controller so that the step response of the following closed-loop system satisfy (settling time) 3sec, POS(% overshoot) 20%, and steady state tracking error (ess)<0. R(s) Y(s) K, ss +1 If you can reduce both settling time and overshoot, then it would be much better. To verify your answer, you should use Matlab simulink and show that your answer is correct in your report. Describe the detailed design procedure (as...
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