Section VI: Block Diagram Reduction Individually reduce each of the following Block Diagrams into a single block with a transfer function G(s) expressed as a ratio of two polynomials N(s) / D(s) CV(S) R(s) H1 SH3 2 4
Q3. Manually reduce the block diagrams below to find the transfer function H Y Σ G1 G G4 R + H Hz Figure 3
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:
Block Diagram Algebra Find the transfer functions for the following three block diagrams: 4. D(s) o Y(s) H(s) G(s)
Simplify fractions as 2. Reduce the block diagrams below to find the equivalent transfer function G() = far as possible. (Part b Hint: Combine middle 2 summing junctions into one; Are all Loops and forward path touching? If so show a common element.) C. Cascade control: X(s) + Ga(s) 19 Gczs Gy(s) GP(s) >Y() HE(S) Hr(s) d. (Hint: Not touching.) 4 xe Q - 4 | : 6421 4 1 4G+ ] Y(S)
Problem 1: Consider the following block diagrams: a. Find the system transfer function C(s)/R(S). Simplify as much as possible and express the result as a ratio of two polynomials.
2. Find the transfer functions Y(s)/R(s) of the following block diagram. (25 marks) R(s). G2G3 G G Y(s) 1 + G2G3H2 H/G₂h H
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....
Simply the block diagrams of the following control systems: SI R(S) CS IS H2
C(s) R(s) 5 Q2: Reduce the block diagram and find the transfer function: C(s) 3 4