For the motor represented by, G(s)=10/s(0.001s+1) What is the steady state ? What is the steady...
For the motor represented by,
G(s)=10/s(0.001s+1)
What is the steady state ?
What is the steady state position error of this system for a step change in the desired input?
What is the required gain K in order to yield a steady state error to 0?
Homework Answers
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For the motor represented by,
G(s)=10/s(0.001s+1)
What is the steady state ?
What is the steady...
Motor Position Control with Torque Disturbance The following diagram models a motor position control system with...
Motor Position Control with
Torque Disturbance
The following diagram models a
motor position control system with torque disturbance. The motor
transfer function from torque to position (when connected to a
voltage source) is G(s) = 1/s(0.1s + 1).
Problem 5-1: Motor Position Control with Torque Disturbance The following diagram models a motor position control system with torque disturbance. The motor transfer function from torque to position (when connected to a voltage source) is s(0.1s +1) The gain K in this...
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...
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
4. (4 Marks) The linear model of a phase detector (phase-lock-loop) can be represented by figure 4. Voltage-controlled oscillator Amplifier Filter LE Figure 4 Phase locked loop The phase-lock systems...
4. (4 Marks) The linear model of a phase detector (phase-lock-loop) can be represented by figure 4. Voltage-controlled oscillator Amplifier Filter LE Figure 4 Phase locked loop The phase-lock systems are designed to maintain zero difference in phase betweer the input carrier signal and a local voltage controlled oscillator. Phase lock loops find application in colour television, missile tracking and space telemetry. The filter for a particular application is chosen as: 10(s +10) (s +D(s +100) F(s) It is desired...
Design of PID compensator S. Design of PID (Proportional-plus-Integral and Derivative) Compensator ds/i (st3)(s+6 s+10) and...
Design of PID compensator
S. Design of PID (Proportional-plus-Integral and Derivative) Compensator ds/i (st3)(s+6 s+10) and unity feedback Design a PID s+10) An uncompensated system has a gain controller so that the system can operate with a peak time that is two thirds that of the uncompensated system at 20% overshoot and with zero steady-state error for a step input. system has a gain Uncompensated system Compensated system K (s+8 G(s) = (s+3)(s+6)(s+10) ,H(s) = 1 20% OS; desired T,-23a...
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b)...
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the relationship between the steady-state error to a ramp input and the gain K and system pa- rameter b. For what values of K and b can we guaran- tee that the magnitude of the steady-state error to a ramp input is less than 0.1?
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the...
Determine the gain K, to obtain a steady state error of 0.10: *Hint, What type is the transfer fu...
Determine the gain K, to obtain a steady state error of
0.10:
*Hint, What type is the transfer function?
**Assume the input is a unit input (i.e. step, ramp, or
parabola)
Determine the gain K, to obtain a steady state error of 0.10: "Hint, What type is the transfer function? "Assume the input is a unit input (i.e. step, ramp, or parabola) R(s) C(s) t- s2+12s+32 s2+5s+6
Determine the gain K, to obtain a steady state error of 0.10: "Hint,...
Q4. (10 points) Consider the DC motor that you have used in running your experiments. Application...
Q4. (10 points) Consider the DC motor that you have used in running your experiments. Application of a proportional-velocity (PV) compensator with a proportional control gain kp and a velocity control gain ky to the motor produces the transfer function for position control to be 01(s) Kk a) Assuming nominal plant values of K-1.7 and 0.03, find the controller gain values kp and ky necessary to obtain a desired peak time and peak overshoot of tp 0.3 s and PO-:...
control system System Description: The figure 1 and 2 below show, respectively, components and block diagram...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem 4) (25 points) Consider the same unity feedback control system given in Figure P3 and do the following: a. Determine the system type (type 0, type 1, type 2, etc.) and justify it. (05 points) b. Suppose that 10% maximum overshoot is required as a transient response specification. Find the steady-state error for this P-controlled system, where K = 0.24 for a unit step...
Motor Position Control with
Torque Disturbance
The following diagram models a
motor position control system with torque disturbance. The motor
transfer function from torque to position (when connected to a
voltage source) is G(s) = 1/s(0.1s + 1).
Problem 5-1: Motor Position Control with Torque Disturbance The following diagram models a motor position control system with torque disturbance. The motor transfer function from torque to position (when connected to a voltage source) is s(0.1s +1) The gain K in this...
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...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
4. (4 Marks) The linear model of a phase detector (phase-lock-loop) can be represented by figure 4. Voltage-controlled oscillator Amplifier Filter LE Figure 4 Phase locked loop The phase-lock systems are designed to maintain zero difference in phase betweer the input carrier signal and a local voltage controlled oscillator. Phase lock loops find application in colour television, missile tracking and space telemetry. The filter for a particular application is chosen as: 10(s +10) (s +D(s +100) F(s) It is desired...
Design of PID compensator
S. Design of PID (Proportional-plus-Integral and Derivative) Compensator ds/i (st3)(s+6 s+10) and unity feedback Design a PID s+10) An uncompensated system has a gain controller so that the system can operate with a peak time that is two thirds that of the uncompensated system at 20% overshoot and with zero steady-state error for a step input. system has a gain Uncompensated system Compensated system K (s+8 G(s) = (s+3)(s+6)(s+10) ,H(s) = 1 20% OS; desired T,-23a...
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the relationship between the steady-state error to a ramp input and the gain K and system pa- rameter b. For what values of K and b can we guaran- tee that the magnitude of the steady-state error to a ramp input is less than 0.1?
E4.5 A unity feedback system has the loop transfer function 100K L(s) Ge(s)G(s) 1 s(s b) Determine the...
Determine the gain K, to obtain a steady state error of
0.10:
*Hint, What type is the transfer function?
**Assume the input is a unit input (i.e. step, ramp, or
parabola)
Determine the gain K, to obtain a steady state error of 0.10: "Hint, What type is the transfer function? "Assume the input is a unit input (i.e. step, ramp, or parabola) R(s) C(s) t- s2+12s+32 s2+5s+6
Determine the gain K, to obtain a steady state error of 0.10: "Hint,...
Q4. (10 points) Consider the DC motor that you have used in running your experiments. Application of a proportional-velocity (PV) compensator with a proportional control gain kp and a velocity control gain ky to the motor produces the transfer function for position control to be 01(s) Kk a) Assuming nominal plant values of K-1.7 and 0.03, find the controller gain values kp and ky necessary to obtain a desired peak time and peak overshoot of tp 0.3 s and PO-:...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem 4) (25 points) Consider the same unity feedback control system given in Figure P3 and do the following: a. Determine the system type (type 0, type 1, type 2, etc.) and justify it. (05 points) b. Suppose that 10% maximum overshoot is required as a transient response specification. Find the steady-state error for this P-controlled system, where K = 0.24 for a unit step...
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