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Figure shows the block diagram of the antenna control system of the solar-collector field shown in Fig. 1-5. The signal N(s) denotes the wind gust disturbance acted on the antenna. The feedforward transfer function G₂ (s) is used to eliminate the effect of N(s) on the output Y(s). Find the transfer function Y(s)/N(s). Determine the expression of G, (s) so that the effect of N(s) is entirely eliminated. N(s) R(s) ● ● + E(S) S+5 $+10 Ga(s) 10 s(s+5) + + Y(s) Using block reduction techniques Draw the signal flow graph (SFG) and calculate the transfer functions using Mason's formula Y(s) Ga (s) is determined by making the numerator of to be equal to zero. N(S)

Figure shows the block diagram of the antenna control system of the solar-collector field shown in Fig. 1-5. The signal N(s) denotes the wind gust disturbance acted on the antenna. The feedforward transfer function G₂ (s) is used to eliminate the effect of N(s) on the output Y(s). Find the transfer function Y(s)/N(s). Determine the expression of G, (s) so that the effect of N(s) is entirely eliminated. N(s) R(s) ● ● + E(S) S+5 $+10 Ga(s) 10 s(s+5) + + Y(s) Using block reduction techniques Draw the signal flow graph (SFG) and calculate the transfer functions using Mason's formula Y(s) Ga (s) is determined by making the numerator of to be equal to zero. N(S)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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The image presents a block diagram of the antenna control system for a solar-collector field. The diagram is a schematic representation that shows how the system manages wind gust disturbances affecting the antenna. ### Components of the Block Diagram: 1. **Inputs and Outputs:** - \( R(s) \): Reference signal. - \( E(s) \): Error signal, obtained after comparing the reference signal with feedback. - \( N(s) \): Disturbance signal caused by wind gusts. - \( Y(s) \): Output signal. 2. **Blocks and Transfer Functions:** - **Block 1:** \( \frac{s+5}{s+10} \) - **Block 2:** \( \frac{10}{s(s+5)} \) - **Feedforward Transfer Function:** \( G_d(s) \), used to eliminate the disturbance \( N(s) \). 3. **Summing Junctions:** - The first junction combines \( R(s) \) and feedback to produce \( E(s) \). - The second junction adds the output of \( G_d(s) \) and the effect of \( N(s) \) to the output signal. ### Key Tasks: - **Using Block Reduction Techniques:** Simplify the block diagram for analysis. - **Draw the Signal Flow Graph (SFG):** This involves representing the system in terms of nodes and directed branches, using Mason’s formula for calculating transfer functions. - **Determine \( G_d(s) \):** Adjust \( G_d(s) \) so that \( \frac{Y(s)}{N(s)} = 0 \). This involves making the numerator zero, thereby ensuring that the effect of \( N(s) \) on the output \( Y(s) \) is fully eliminated. This control system design ensures the antenna system remains stable and accurate by actively compensating for environmental disturbances.
Transcribed Image Text:The image presents a block diagram of the antenna control system for a solar-collector field. The diagram is a schematic representation that shows how the system manages wind gust disturbances affecting the antenna. ### Components of the Block Diagram: 1. **Inputs and Outputs:** - \( R(s) \): Reference signal. - \( E(s) \): Error signal, obtained after comparing the reference signal with feedback. - \( N(s) \): Disturbance signal caused by wind gusts. - \( Y(s) \): Output signal. 2. **Blocks and Transfer Functions:** - **Block 1:** \( \frac{s+5}{s+10} \) - **Block 2:** \( \frac{10}{s(s+5)} \) - **Feedforward Transfer Function:** \( G_d(s) \), used to eliminate the disturbance \( N(s) \). 3. **Summing Junctions:** - The first junction combines \( R(s) \) and feedback to produce \( E(s) \). - The second junction adds the output of \( G_d(s) \) and the effect of \( N(s) \) to the output signal. ### Key Tasks: - **Using Block Reduction Techniques:** Simplify the block diagram for analysis. - **Draw the Signal Flow Graph (SFG):** This involves representing the system in terms of nodes and directed branches, using Mason’s formula for calculating transfer functions. - **Determine \( G_d(s) \):** Adjust \( G_d(s) \) so that \( \frac{Y(s)}{N(s)} = 0 \). This involves making the numerator zero, thereby ensuring that the effect of \( N(s) \) on the output \( Y(s) \) is fully eliminated. This control system design ensures the antenna system remains stable and accurate by actively compensating for environmental disturbances.
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