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DP6.1 The control of the spark ignition of an automotive engine requires constant performance over a wide range of paranielers [15]. The control system is shown in Figure DP6.1.with a controlter gain K to be selected. The parameter p is equal to 2 for many autos but cai equal zero for those with high performance. Select a gain K thal will result in a stable system for bothı values ol p. FIGURE DP6.1 Automobile engine control. 5 K + Y(s) R(s) s + 5 s + p 51/5

DP6.1 The control of the spark ignition of an automotive engine requires constant performance over a wide range of paranielers [15]. The control system is shown in Figure DP6.1.with a controlter gain K to be selected. The parameter p is equal to 2 for many autos but cai equal zero for those with high performance. Select a gain K thal will result in a stable system for bothı values ol p. FIGURE DP6.1 Automobile engine control. 5 K + Y(s) R(s) s + 5 s + p 51/5

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**DP6.1** The control of the spark ignition of an automotive engine requires constant performance over a wide range of parameters [15]. The control system is shown in Figure DP6.1, with a controller gain \( K \) to be selected. The parameter \( p \) is equal to 2 for many autos but can equal zero for those with high performance. Select a gain \( K \) that will result in a stable system for both values of \( p \). **Figure DP6.1**: Automobile engine control. **Diagram Explanation:** The diagram represents a control system for an automotive engine. Here's a detailed description: - The input to the system is represented as \( R(s) \). - This input is added to a feedback loop and then passes through the controller gain block, labeled \( K \). - The signal then progresses through a series of blocks representing transfer functions. - The first block has the transfer function \( \frac{1}{5} \). - The next block has the transfer function \( \frac{1}{s + 5} \). - A feedback loop connects back to a summing node from another block with transfer function \( \frac{1}{s + p} \), where \( p \) is a variable parameter. - The output of the system is denoted as \( Y(s) \), and there is an additional block on this path with the transfer function \( \frac{1}{s} \). The system seeks stability for different values of \( p \) by selecting an appropriate controller gain \( K \).
Transcribed Image Text:**DP6.1** The control of the spark ignition of an automotive engine requires constant performance over a wide range of parameters [15]. The control system is shown in Figure DP6.1, with a controller gain \( K \) to be selected. The parameter \( p \) is equal to 2 for many autos but can equal zero for those with high performance. Select a gain \( K \) that will result in a stable system for both values of \( p \). **Figure DP6.1**: Automobile engine control. **Diagram Explanation:** The diagram represents a control system for an automotive engine. Here's a detailed description: - The input to the system is represented as \( R(s) \). - This input is added to a feedback loop and then passes through the controller gain block, labeled \( K \). - The signal then progresses through a series of blocks representing transfer functions. - The first block has the transfer function \( \frac{1}{5} \). - The next block has the transfer function \( \frac{1}{s + 5} \). - A feedback loop connects back to a summing node from another block with transfer function \( \frac{1}{s + p} \), where \( p \) is a variable parameter. - The output of the system is denoted as \( Y(s) \), and there is an additional block on this path with the transfer function \( \frac{1}{s} \). The system seeks stability for different values of \( p \) by selecting an appropriate controller gain \( K \).
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