Determine the transfer function from rto y in the block diagram of Figure A2. Hence state...
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and G,(s) 5+2 Y(s) R(S) G,() Gy(s) G;(s) Figure 3.1 3 (0) Y(s) Derive the system transfer function H(s)= of the system. Plot the R(s) poles and zeros of H(s) in the complex s-plane. State whether the system is stable or not stable, and why. [10 marks) (11) Obtain the impulse response of the system, that is ylt) for r(t)= 8(t). Evaluate the final value...
2. Determine the closed-loop transfer function Y (using Signal Flow Graphs or Block U(s) Diagram Transformations) for the system shown in Figure 2 U(s) Y (s) 0 do
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...
(1) For Figure 1, reduce the block diagram to the transfer function level. (2) For Figure 2, also reduce the block diagram to the transfer function level. (3) For Figure 3, again reduce the block diagram to the transfer function level. (4) For Figure 4, reduce the block diagram to the unity feedback loop level. Frgura 3 Ris) Hs Frere y Fes S8-12 K3 Kur
(1) For Figure 1, reduce the block diagram to the transfer function level. (2) For...
PROBLEMS B-2-1. Simplify the block diagram shown in Figure 2-29 and obtain the closed-loop transfer function C(s)/RS). B-2-2. Simplify the block diagram shown in Figure 2-30 and obtain the closed-loop transfer function C(s)/R(s). B-2-3. Simplify the block diagram shown in Figure 2-31 and obtain the closed-loop transfer function C(s)/R(S). G1 R(S) CS) Figure 2-29 Block diagram of a system. Figure 2-30 Block diagram of a system. Figure 2-31 Block diagram of a system.
Question 3 a) Reduce the block diagram in Figure 3 to a single block with the overall tra (10 marks) function. H2(s) Figure 3: A block diagram comprising multiple subsystems and controllers b) For the system in Figure 4, assume that the plant has the following transfer function: If the controller in Figure 4 is proportional-only, determine the following: (2 marks) i) The system type. i) The steady-state error, es, if the reference signal, R(s) is a unit step input....
Consider the block diagram of the following control system. Find the transfer function G(s) = Y(S)/R(s) by using the block diagram reduction R(5) Y(s) + 5+2 s
yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram shown in Figure find the system transfer function Y (s)/U(s).
3. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output + Y(s) X(s) 8+2 s+ 2
3. (10 points) Simplify the following block diagram and obtain the transfer function from s) to Y(s) input output + Y(s) X(s) 8+2 s+ 2
Evaluate the block diagram.
1. Write the transfer function for Y(s)
2. Write the transfer function for Z(s)
T S 1S)