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design a feedback control system which results in a closed system that reaches a commaned Өc with a transient response for the given DC motor that will be given below Damping ratio is 0.6  natural frequency is 10 rad/sec

design a feedback control system which results in a closed system that reaches a commaned Өc with a transient response for the given DC motor that will be given below Damping ratio is 0.6  natural frequency is 10 rad/sec

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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design a feedback control system which results in a closed system that reaches a commaned Өc with a transient response for the given DC motor that will be given below

Damping ratio is 0.6 

natural frequency is 10 rad/sec

The equation depicted in the image is a transfer function, which is a mathematical representation used in control systems to model the relationship between the input and output of a system in the Laplace domain. The transfer function given is: \[ \frac{\Theta(s)}{V_{in}(s)} = \frac{200}{5(s + 16)} \] ### Components of the Equation: - \(\Theta(s)\): Represents the output of the system in the Laplace domain. - \(V_{in}(s)\): Represents the input to the system in the Laplace domain. - \(\frac{200}{5(s + 16)}\): This is the system's transfer function, which defines how the input \(V_{in}(s)\) is transformed into the output \(\Theta(s)\). ### Explanation: - **Transfer Function**: The form \( \frac{200}{5(s + 16)} \) suggests a first-order system where the output is affected by a pole at \( s = -16 \). The constant \(200\) is the gain, and when divided by the factor of \(5\), it scales the response of the system. - **System Behavior**: This transfer function can be used to analyze the time response of the system, stability, and frequency response characteristics in various control system applications.
Transcribed Image Text:The equation depicted in the image is a transfer function, which is a mathematical representation used in control systems to model the relationship between the input and output of a system in the Laplace domain. The transfer function given is: \[ \frac{\Theta(s)}{V_{in}(s)} = \frac{200}{5(s + 16)} \] ### Components of the Equation: - \(\Theta(s)\): Represents the output of the system in the Laplace domain. - \(V_{in}(s)\): Represents the input to the system in the Laplace domain. - \(\frac{200}{5(s + 16)}\): This is the system's transfer function, which defines how the input \(V_{in}(s)\) is transformed into the output \(\Theta(s)\). ### Explanation: - **Transfer Function**: The form \( \frac{200}{5(s + 16)} \) suggests a first-order system where the output is affected by a pole at \( s = -16 \). The constant \(200\) is the gain, and when divided by the factor of \(5\), it scales the response of the system. - **System Behavior**: This transfer function can be used to analyze the time response of the system, stability, and frequency response characteristics in various control system applications.
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