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1. From the following block diagrams, compute X(s)/F(s). 1 F(s) ms + b X(s) k F(s)...
1. In the following two block diagrams, all parameters A, B and K are positive real...
1. In the following two block diagrams, all parameters A, B and K are positive real numbers. X($) — A Y($) »Det »*0007 + X(s) - Y(S) i. (b) Find the transfer functions and the corresponding differential equations of both block diagrams. Analyze stability of both systems. In particular, show that system (a) is unstable and identify condition(s) under which system (b) can be stable.
1) Use Simulink to plot the unit step response of the following block diagram for K-1, 2, 5 and f...
1) Use Simulink to plot the unit step response of the following block diagram for K-1, 2, 5 and find Mp, tp, ts from the figure. (116s2 +1187s+8260) K(s) K controller plant R(s) K(s) G(s) Y(s) 2) Find the state variable representation of closed loop system of (1) by using Simulink.
1) Use Simulink to plot the unit step response of the following block diagram for K-1, 2, 5 and find Mp, tp, ts from the figure. (116s2 +1187s+8260) K(s)...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negati...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negative feedback system that includes a plant a) with transfer function of Gi(s) and a cascade proportional controller with a gain of K. b) Write the closed-loop transfer function for such a negative feedback system c The plant has poles that are solutions to P(s) 0 and zeros that are the solutions to Z(s)-0. Write an equation involving K, P(s) and Z(s)...
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Sh...
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Show the direct-form block diagram of Hi(s) c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can draw...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
1. 4 R(S) 1 s 1 S C(s) b) A system has a block diagram as...
1. 4 R(S) 1 s 1 S C(s) b) A system has a block diagram as shown. The input is R(s) and the output is C(s). a) Using only the block diagram reduction method*, find the transfer function of the system. Determine the characteristic function and the order of the system c) Find the characteristic roots of the system. Find the natural frequency of the system. e) Find the damped natural frequency of the system. 8 *NOTE: All stages of...
[HELP!] 1. Simplify the following block diagram. Obtain the transfer function from R to C for Fig. 1, and the transfer function from X(s) to Y(s) for Fig. 2. 2. Convert the block diagram of figures 1 and 2 to a signal flow graph.
Simplify the following block diagram. Obtain the transfer function from R to C for Fig. 1,
and the transfer function from X(s) to Y(s) for Fig. 2.Convert the block diagram of figures 1 and 2 to a signal flow graph.Below are the diagrams:
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fi...
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fig. 1 a) Find the open-loop transfer function of the system. b) Determine the system type and open-loop gain in terms of K and K, c) Find the steady-state errors of the system in terms of K and K,when the following reference inputs are applied: a. Unit ramp reference input: ) b. Parabolic reference input: r()
1- Consider the block diagram...
2 In the block diagram below, G(s) -1/s, P(s)P(s) s-+2 s+2 D(s)- k-oo Ше-ks[1-e-s/1001. The inver...
2 In the block diagram below, G(s) -1/s, P(s)P(s) s-+2 s+2 D(s)- k-oo Ше-ks[1-e-s/1001. The inverse Laplace transforms of these equations are g(t), p(t),p(t), and d(t), respectively. The parameter K scales the feedback k-0 D(s) R(s) G(s) P(s) C(s) P(s) A Consider for a moment, D(s)- 0. Simplify the block diagram in terms of G(s), P(s), P(s) and find the transfer function by substituting the equations given above B What are the zeros and poles of the system you obtained...
9. Consider the diagram below F(s) Y(s) s 1 s +1 Σ s +1 k S...
9. Consider the diagram below F(s) Y(s) s 1 s +1 Σ s +1 k S (a) Determine the transfer function H(s) of the system. (b) When k = 2, determine whether the system is BIBO stable or not. (c) Which values of k can you have so that the system is BIBO stable?
1. In the following two block diagrams, all parameters A, B and K are positive real numbers. X($) — A Y($) »Det »*0007 + X(s) - Y(S) i. (b) Find the transfer functions and the corresponding differential equations of both block diagrams. Analyze stability of both systems. In particular, show that system (a) is unstable and identify condition(s) under which system (b) can be stable.
1) Use Simulink to plot the unit step response of the following block diagram for K-1, 2, 5 and find Mp, tp, ts from the figure. (116s2 +1187s+8260) K(s) K controller plant R(s) K(s) G(s) Y(s) 2) Find the state variable representation of closed loop system of (1) by using Simulink.
1) Use Simulink to plot the unit step response of the following block diagram for K-1, 2, 5 and find Mp, tp, ts from the figure. (116s2 +1187s+8260) K(s)...
5. A milling machine has the following open-loop transfer function: (s 1)(s+3) Draw a block diagram describing a negative feedback system that includes a plant a) with transfer function of Gi(s) and a cascade proportional controller with a gain of K. b) Write the closed-loop transfer function for such a negative feedback system c The plant has poles that are solutions to P(s) 0 and zeros that are the solutions to Z(s)-0. Write an equation involving K, P(s) and Z(s)...
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Show the direct-form block diagram of Hi(s) c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can draw...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
1. 4 R(S) 1 s 1 S C(s) b) A system has a block diagram as shown. The input is R(s) and the output is C(s). a) Using only the block diagram reduction method*, find the transfer function of the system. Determine the characteristic function and the order of the system c) Find the characteristic roots of the system. Find the natural frequency of the system. e) Find the damped natural frequency of the system. 8 *NOTE: All stages of...
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fig. 1 a) Find the open-loop transfer function of the system. b) Determine the system type and open-loop gain in terms of K and K, c) Find the steady-state errors of the system in terms of K and K,when the following reference inputs are applied: a. Unit ramp reference input: ) b. Parabolic reference input: r()
1- Consider the block diagram...
2 In the block diagram below, G(s) -1/s, P(s)P(s) s-+2 s+2 D(s)- k-oo Ше-ks[1-e-s/1001. The inverse Laplace transforms of these equations are g(t), p(t),p(t), and d(t), respectively. The parameter K scales the feedback k-0 D(s) R(s) G(s) P(s) C(s) P(s) A Consider for a moment, D(s)- 0. Simplify the block diagram in terms of G(s), P(s), P(s) and find the transfer function by substituting the equations given above B What are the zeros and poles of the system you obtained...
9. Consider the diagram below F(s) Y(s) s 1 s +1 Σ s +1 k S (a) Determine the transfer function H(s) of the system. (b) When k = 2, determine whether the system is BIBO stable or not. (c) Which values of k can you have so that the system is BIBO stable?
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