# BLOCK DIAGRAM REDUCTION EXAMPLES Control Systems - Block Diagram Algebra - Tutorialspoint
The equivalent block diagram is shown below. Similarly, you can represent the positive feedback connection of two blocks with a single block. The transfer function of this single block is the closed loop transfer function of the positive feedback, i.e., $\frac{G(s)}{1-G(s)H(s)}$ Block Diagram Algebra for [PDF]
EXAMPLE PROBLEMS AND SOLUTIONS
EXAMPLE PROBLEMS AND SOLUTIONS A-3-1. Simplify the block diagram shown in Figure 3-42. Solution. First, move the branch point of the path involving HI outside the loop involving H,, as shown in Figure 3-43(a). Then eliminating two loops results in Figure 3-43(b). Combining two blocks into one gives Figure 3-33(c). A-3-2.
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