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Refer to Figure P5.11. Find the value of K₁ and K₂ that will result in a step response with a peak value of 1.5 sec. and a settling time of 3 sec. R(s) + K₁ 30 s(s+2) K2s C(s)

Refer to Figure P5.11. Find the value of K₁ and K₂ that will result in a step response with a peak value of 1.5 sec. and a settling time of 3 sec. R(s) + K₁ 30 s(s+2) K2s C(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
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**Control System Design Problem** Refer to Figure P5.11. Find the values of \( K_1 \) and \( K_2 \) that will result in a step response with a peak value of 1.5 seconds and a settling time of 3 seconds. **Block Diagram Explanation:** - **Input Signal**: \( R(s) \) enters the system. - **First Block**: A gain block with gain \( K_1 \). - **Comparator**: Subtracts feedback from \( K_1 \) output, moves to the second block. - **Second Block**: A transfer function block \( \frac{30}{s(s+2)} \). - **Output Signal**: \( C(s) \) is the system output. - **Feedback Loop**: Feedback is multiplied by \( K_2s \) and subtracted from the input signal. This problem involves calculating the appropriate gain values \( K_1 \) and \( K_2 \) to achieve specified step response characteristics, focusing on the desired peak time and settling time.
Transcribed Image Text:**Control System Design Problem** Refer to Figure P5.11. Find the values of \( K_1 \) and \( K_2 \) that will result in a step response with a peak value of 1.5 seconds and a settling time of 3 seconds. **Block Diagram Explanation:** - **Input Signal**: \( R(s) \) enters the system. - **First Block**: A gain block with gain \( K_1 \). - **Comparator**: Subtracts feedback from \( K_1 \) output, moves to the second block. - **Second Block**: A transfer function block \( \frac{30}{s(s+2)} \). - **Output Signal**: \( C(s) \) is the system output. - **Feedback Loop**: Feedback is multiplied by \( K_2s \) and subtracted from the input signal. This problem involves calculating the appropriate gain values \( K_1 \) and \( K_2 \) to achieve specified step response characteristics, focusing on the desired peak time and settling time.
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