Find the transfer function YsRs for the system with following diagram block diagram-

Find the tran...

Question

Find the transfer function $\frac{Y (s)}{R (s)}$ for the system with following diagram block diagram:

\frac{Y (s)}{R (s)} = \frac{G_{1} G_{2} G_{3} G_{4}}{1 + G_{1} H_{1} - G_{1} G_{2} H_{2} + G_{1} G_{2} G_{3} H_{3} + G_{1} G_{2} G_{3} G_{4}}

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\frac{Y (s)}{R (s)} = \frac{G_{1} G_{2} G_{3} G_{4}}{1 - G_{1} H_{1} + G_{1} G_{2} H_{2} + G_{1} G_{2} G_{3} H_{3}}

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\frac{Y (s)}{R (s)} = \frac{G_{1} G_{2} G_{3} G_{4}}{1 + G_{1} H_{1} + G_{1} G_{2} H_{2} + G_{1} G_{2} G_{3} H_{3}}

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\frac{Y (s)}{R (s)} = \frac{G_{1} G_{2} G_{3} G_{4}}{1 - G_{1} H_{1} - G_{1} G_{2} H_{2} + G_{1} G_{2} G_{3} H_{3} + G_{1} G_{2} G_{3} G_{4}}

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