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For the system given below determine; a) System type number b) Position error constant KP c) Velocity error constant KV

For the system given below determine; a) System type number b) Position error constant KP c) Velocity error constant KV

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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For the system given below determine;
a) System type number
b) Position error constant KP
c) Velocity error constant KV 

 

The image depicts a block diagram of a control system with a feedback loop. ### Description: - **R(S):** This is the reference input to the system. - **E(S):** The error signal is the difference between the reference input and the feedback. - **C(S):** The output of the system. ### Components: 1. **Summing Junction:** - The summing junction is indicated by a circled plus/minus symbol. - It takes the reference input \( R(S) \) and subtracts the feedback (coming from the output \( C(S) \) through the feedback path). 2. **Forward Path:** - The transfer function in the forward path is \( \frac{10}{s(s+5)} \). - This block processes the error signal \( E(S) \) to produce an output that will be modified by the feedback loop. 3. **Feedback Path:** - The feedback path has a transfer function of \( \frac{2}{s+3} \). - This path takes a portion of the output and feeds it back to the summing junction. ### Explanation: - The system is a typical negative feedback control system, where the output \( C(S) \) is fed back and subtracted from the reference input \( R(S) \) to form an error signal \( E(S) \). - The forward path consists of a transfer function block, which indicates a second-order system dynamic nature due to the \( s(s+5) \) term in the denominator. - The feedback path also contributes to the overall system dynamics with its own transfer function \( \frac{2}{s+3} \). This block diagram is instrumental in understanding how feedback works to stabilize and control the behavior of dynamic systems in control engineering.
Transcribed Image Text:The image depicts a block diagram of a control system with a feedback loop. ### Description: - **R(S):** This is the reference input to the system. - **E(S):** The error signal is the difference between the reference input and the feedback. - **C(S):** The output of the system. ### Components: 1. **Summing Junction:** - The summing junction is indicated by a circled plus/minus symbol. - It takes the reference input \( R(S) \) and subtracts the feedback (coming from the output \( C(S) \) through the feedback path). 2. **Forward Path:** - The transfer function in the forward path is \( \frac{10}{s(s+5)} \). - This block processes the error signal \( E(S) \) to produce an output that will be modified by the feedback loop. 3. **Feedback Path:** - The feedback path has a transfer function of \( \frac{2}{s+3} \). - This path takes a portion of the output and feeds it back to the summing junction. ### Explanation: - The system is a typical negative feedback control system, where the output \( C(S) \) is fed back and subtracted from the reference input \( R(S) \) to form an error signal \( E(S) \). - The forward path consists of a transfer function block, which indicates a second-order system dynamic nature due to the \( s(s+5) \) term in the denominator. - The feedback path also contributes to the overall system dynamics with its own transfer function \( \frac{2}{s+3} \). This block diagram is instrumental in understanding how feedback works to stabilize and control the behavior of dynamic systems in control engineering.
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