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Block Diagram Reduction (Solved Example 1)

Finding Transfer Function through Block Diagram Reduction The presentation focuses on finding the transfer function of a system using block diagram reduction. The system includes two adders, three blocks with gains g1, g2, and g3, and negative feedbacks h1 and h2. To simplify the process of obtaining the overall transfer function step-by-step is essential; starting from shifting takeoff points to combining series blocks into single entities.

Deriving Overall Transfer Function After simplifying individual components by applying rules for series connections and closed-loop systems in negative feedback configurations, we derive an expression for each segment's gain. Ultimately, this leads to calculating the overall transfer function as c/r = (g2 * g3 * h2) / (1 + g2 * g3 * h2 + g1 * 2h1). This methodical approach demonstrates how systematic reductions can yield complex results efficiently.