![b) Following figure shows a block diagram of a control system. Obtain the characteristics equation of the system. [5 marks] D](http://img.homeworklib.com/questions/50bb8590-06e9-11ec-8101-1fd8d3bb8bed.png?x-oss-process=image/resize,w_560)
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b) Following figure shows a block diagram of a control system. Obtain the characteristics equation of...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) -...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range ...
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01 R(s) E(s) Y(s) 10 +0.1 0.01s Figure 8P-24
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State the possible consequence when a physical system becomes unstable. (2 marks) (6) (c) Consider the following characteristic Equation shown below: P(s) = 55 +683 + 582 +8s + 20 (1) Construct Routh table for the characteristic Equation. (6 marks) (ii) Using the Routh – Hurwitz criterion, determine the stability of the system. (2 marks) (ii) Determine the numbers of roots on the right half-plane,...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
6. Consider the following control system. s(s1)(s +3) (a) Derive the characteristic equation of the (closed-loop)...
6. Consider the following control system. s(s1)(s +3) (a) Derive the characteristic equation of the (closed-loop) system. (b) Determine the range of K for stability using Routh's stability criterion.
In the figure below given is the block diagram representation of the DC motor position control sy...
In the figure below given is the block diagram representation of the DC motor position control system with a combined unity feedback and rate (tachometer) feedback. 2. C(s) R(s) Kp 0.25s+1 s+1 Kv Determine the characteristic polynomial of the closed loop transfer function Using Routh criterion, determine the range for Kp and Kv which make the closed loop system stable. Draw the admissible region for stability on Kv versus Kp plane.
In the figure below given is the block diagram...
5. Answer the following questions regarding the block diagram of the feedback control system. Gm (1)...
5. Answer the following questions regarding the block diagram of the feedback control system. Gm (1) G,(s)= K., Gm (s) = Gy(s)=1, G,(s) = 100+1. Show that the feedback control system is always stable when K. > 0. (2) G(s)=K. Gr(s)= 1817, Gp(s)=1, Gr(s)=e** Use Bode Criterion to determine K range that ensure feedback control system stable (3) Also, Use 1* Padé approximant at time delay in (2) to determine the range of 1-5$ - K at which the feedback...
Question three The figure below shows a unit step response of a second order system. From...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
4 (a) Based on the block diagram for a control system (Figure Q4(a) below) determine the...
4 (a) Based on the block diagram for a control system (Figure Q4(a) below) determine the transfer function between the error and the set point, E(s)/R(s) (8 marks) R(s)+ c(p) m(s) Figure Q4(a) Figure Q4(b) below shows two different control strategies for a continuous stirred tank reactor (CSTR). The reaction A → B is exothermic and the heat generated is removed by the coolant flowing through the jacket. It is assumed the flowrate of the reactor feed is fixed. Two...
1. (30 points) The block diagram of a machine-tool control system is shown in Figure 1. (a) (10 p...
1. (30 points) The block diagram of a machine-tool control system is shown in Figure 1. (a) (10 points) Determine the transfer function H(s) = Y(s)/R(s) (b) (10 points) Determine the sensitivity S (c) (10 points) For 1
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01 R(s) E(s) Y(s) 10 +0.1 0.01s Figure 8P-24
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State the possible consequence when a physical system becomes unstable. (2 marks) (6) (c) Consider the following characteristic Equation shown below: P(s) = 55 +683 + 582 +8s + 20 (1) Construct Routh table for the characteristic Equation. (6 marks) (ii) Using the Routh – Hurwitz criterion, determine the stability of the system. (2 marks) (ii) Determine the numbers of roots on the right half-plane,...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
6. Consider the following control system. s(s1)(s +3) (a) Derive the characteristic equation of the (closed-loop) system. (b) Determine the range of K for stability using Routh's stability criterion.
In the figure below given is the block diagram representation of the DC motor position control system with a combined unity feedback and rate (tachometer) feedback. 2. C(s) R(s) Kp 0.25s+1 s+1 Kv Determine the characteristic polynomial of the closed loop transfer function Using Routh criterion, determine the range for Kp and Kv which make the closed loop system stable. Draw the admissible region for stability on Kv versus Kp plane.
In the figure below given is the block diagram...
5. Answer the following questions regarding the block diagram of the feedback control system. Gm (1) G,(s)= K., Gm (s) = Gy(s)=1, G,(s) = 100+1. Show that the feedback control system is always stable when K. > 0. (2) G(s)=K. Gr(s)= 1817, Gp(s)=1, Gr(s)=e** Use Bode Criterion to determine K range that ensure feedback control system stable (3) Also, Use 1* Padé approximant at time delay in (2) to determine the range of 1-5$ - K at which the feedback...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
4 (a) Based on the block diagram for a control system (Figure Q4(a) below) determine the transfer function between the error and the set point, E(s)/R(s) (8 marks) R(s)+ c(p) m(s) Figure Q4(a) Figure Q4(b) below shows two different control strategies for a continuous stirred tank reactor (CSTR). The reaction A → B is exothermic and the heat generated is removed by the coolant flowing through the jacket. It is assumed the flowrate of the reactor feed is fixed. Two...
1. (30 points) The block diagram of a machine-tool control system is shown in Figure 1. (a) (10 points) Determine the transfer function H(s) = Y(s)/R(s) (b) (10 points) Determine the sensitivity S (c) (10 points) For 1
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