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4. Consider the motor speed control system shown in Figure Q4. Parameter variations occurring during operating...
Question 4 (a) A feedback control system with a proportional controller is shown in Figure Q4...
Question 4 (a) A feedback control system with a proportional controller is shown in Figure Q4 (a). (i) Sketch the root locus of the system, (ii) Design the proportional controller (choose the value of K) such that the damping ratio does not exceed 0.5 and the time constant is less than 1 second. [All necessary steps of root locus construction and controller design must be shown). C(s) R(S) + s(s+4)(s + 10) Figure Q4 (a). A feedback control system [11...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the r...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a l...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Problem #7 (10 points) For the feedback control system shown in figure (4), R) I. 2....
Problem #7 (10 points) For the feedback control system shown in figure (4), R) I. 2. Determine the steady state error ess when K = 1 Determine the value of K to minimize the steady state error ess R(S) (s +2) 6+5 Figure (4) Problem #8 (10 points) For the feedback control system shown in figure (5, R(s)-ine the range of K such that the absolute value of the steady state error is less than 0.1 R(S) s+K Y(S) Figure...
5. Consider the feedback control system shown below with constant reference w, and constant disturbance d....
5. Consider the feedback control system shown below with constant reference w, and constant disturbance d. Show that the steady-state error e(0o) lm()is zero when k>0 and is given by (wr +Kd)/(Kkp +1) when k0 Lu TS+ Figure 1: Speed regulation of DC motor using PI controller
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise...
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2b). i Determine the value in so that the damping ratio of the system is 0.5. (1 % marks) From the result obtained in , evaluate the transient response characteristics (rise...
a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak...
a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2(b). i Determine the value K, so that the damping ratio of the system is 0.5. (1 % marks) ii. From the result obtained in (), evaluate the transient response characteristics (rise time,...
Mechanical Energy Consider the dam shown below operating under the following conditions: value parameter turbine inlet...
Mechanical Energy Consider the dam shown below operating under the following conditions: value parameter turbine inlet area 6 m2 turbine inlet depth 100 m 9 m2 turbine outlet area turbine outlet depth 20 m 700 m3/s dam volumetric flow rate 85 m water elevation change across dam in out Calculate the change in the water's mechanical energy across the dam 1. with your system defined as the turbine, and 2. your system surrounding turbine and coincident with the water surface...
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...
Consider the electro-mechanical feedback control system shown in Figure 3. The voltage Ea(s) - Liea(t)) is...
Consider the electro-mechanical feedback control system shown in Figure 3. The voltage Ea(s) - Liea(t)) is generated by an amplifier whose transfer function is Ga(s) -5 The position sensor has a transfer function H(s) 1 and the pre-compensator transfer function is pot X (s) Ea(s) The "Electro-Mechanical System" block, is X(s) Ea(s) 5.05s3 101s2 +505.2s 100 R(s) Amplifier, |Ea(S)Electro-MechanicalX(S) Controller, Gc(s) K, pot Ga(s) System, G(s) Encoder H(s) Figure 3: Electro-mechanical control system for Question 3 Consider a proportional controller...
Question 4 (a) A feedback control system with a proportional controller is shown in Figure Q4 (a). (i) Sketch the root locus of the system, (ii) Design the proportional controller (choose the value of K) such that the damping ratio does not exceed 0.5 and the time constant is less than 1 second. [All necessary steps of root locus construction and controller design must be shown). C(s) R(S) + s(s+4)(s + 10) Figure Q4 (a). A feedback control system [11...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
Problem #7 (10 points) For the feedback control system shown in figure (4), R) I. 2. Determine the steady state error ess when K = 1 Determine the value of K to minimize the steady state error ess R(S) (s +2) 6+5 Figure (4) Problem #8 (10 points) For the feedback control system shown in figure (5, R(s)-ine the range of K such that the absolute value of the steady state error is less than 0.1 R(S) s+K Y(S) Figure...
5. Consider the feedback control system shown below with constant reference w, and constant disturbance d. Show that the steady-state error e(0o) lm()is zero when k>0 and is given by (wr +Kd)/(Kkp +1) when k0 Lu TS+ Figure 1: Speed regulation of DC motor using PI controller
Question 2 a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2b). i Determine the value in so that the damping ratio of the system is 0.5. (1 % marks) From the result obtained in , evaluate the transient response characteristics (rise...
a) Consider the control system in Figure 2(a). Determine the transient response characteristics (rise time, peak time, maximum overshoot and settling time) and the steady state error for the system. (2 marks) b) To improve the relative stability, the tachometer feedback are employed as shown in Figure 2(b). i Determine the value K, so that the damping ratio of the system is 0.5. (1 % marks) ii. From the result obtained in (), evaluate the transient response characteristics (rise time,...
Mechanical Energy Consider the dam shown below operating under the following conditions: value parameter turbine inlet area 6 m2 turbine inlet depth 100 m 9 m2 turbine outlet area turbine outlet depth 20 m 700 m3/s dam volumetric flow rate 85 m water elevation change across dam in out Calculate the change in the water's mechanical energy across the dam 1. with your system defined as the turbine, and 2. your system surrounding turbine and coincident with the water surface...
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...
Consider the electro-mechanical feedback control system shown in Figure 3. The voltage Ea(s) - Liea(t)) is generated by an amplifier whose transfer function is Ga(s) -5 The position sensor has a transfer function H(s) 1 and the pre-compensator transfer function is pot X (s) Ea(s) The "Electro-Mechanical System" block, is X(s) Ea(s) 5.05s3 101s2 +505.2s 100 R(s) Amplifier, |Ea(S)Electro-MechanicalX(S) Controller, Gc(s) K, pot Ga(s) System, G(s) Encoder H(s) Figure 3: Electro-mechanical control system for Question 3 Consider a proportional controller...
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