Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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### Problem Statement 1) Show the following system is type 1 and compute the \( K_v \). ### System Diagram The diagram is a block diagram of a control system. It consists of the following components: - **Input \( R \)**: The reference input to the system. - **Summation Block \( \Sigma \)**: It takes the difference between the input \( R \) and the feedback signal. - **Transfer Function Block**: This block has the transfer function: \[ \frac{K(as + b)}{s(s+1)} \] where \( K \), \( a \), and \( b \) are constants, and \( s \) is the Laplace variable. - **Output \( Y \)**: The system output. ### Feedback Loop The system includes a feedback loop where the output \( Y \) is fed back into the summation block to be subtracted from the input \( R \). This block diagram represents a control system with a feedback loop. To demonstrate that the system is type 1, analyze the transfer function and compute the velocity error constant \( K_v \).
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Transcribed Image Text:### Problem Statement 1) Show the following system is type 1 and compute the \( K_v \). ### System Diagram The diagram is a block diagram of a control system. It consists of the following components: - **Input \( R \)**: The reference input to the system. - **Summation Block \( \Sigma \)**: It takes the difference between the input \( R \) and the feedback signal. - **Transfer Function Block**: This block has the transfer function: \[ \frac{K(as + b)}{s(s+1)} \] where \( K \), \( a \), and \( b \) are constants, and \( s \) is the Laplace variable. - **Output \( Y \)**: The system output. ### Feedback Loop The system includes a feedback loop where the output \( Y \) is fed back into the summation block to be subtracted from the input \( R \). This block diagram represents a control system with a feedback loop. To demonstrate that the system is type 1, analyze the transfer function and compute the velocity error constant \( K_v \).
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