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)
Chapter22: Sequence Control
Section: Chapter Questions
Problem 1SQ: Describe what is meant by sequence control.
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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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