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The addition of open loop poles pulls the root locus towards:
- a)The right and system becomes unstable
- b)Imaginary axis and system becomes marginally stable
- c)The left and system becomes unstable
- d)The right and system becomes unstable
Correct answer is option 'D'. Can you explain this answer?
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The addition of open loop poles pulls the root locus towards:a)The rig...
Answer: d
Explanation: The addition of open loop poles pulls the root locus towards the right and system becomes unstable.
Explanation: The addition of open loop poles pulls the root locus towards the right and system becomes unstable.
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The addition of open loop poles pulls the root locus towards:a)The rig...
Introduction:
When analyzing the root locus of a system, the addition of open loop poles has a significant impact on the behavior of the system. The root locus is a graphical representation of the possible locations of the closed-loop poles as a parameter, typically the gain, is varied. By understanding the effects of adding open loop poles, we can determine the resulting behavior of the system.
Explanation:
When open loop poles are added to a system, it affects the root locus in the following ways:
1. Shift towards the right: The addition of open loop poles shifts the root locus towards the right side of the complex plane. This is because the poles add more stability to the system, making it harder for the closed-loop poles to move towards the left side of the complex plane.
2. System instability: As the root locus shifts towards the right, the system becomes more unstable. This is because the poles move away from the left side, where stability is typically achieved. The closer the root locus gets to the right side, the more likely it is for the closed-loop poles to move into the unstable region.
3. Unstable system: Eventually, if enough open loop poles are added, the root locus can reach a point where the closed-loop poles cross the imaginary axis into the right half-plane. At this point, the system becomes unstable, as it has poles with positive real parts.
Conclusion:
In summary, the addition of open loop poles pulls the root locus towards the right side of the complex plane. This results in the system becoming more unstable, with the possibility of the closed-loop poles crossing into the right half-plane. It is important to carefully analyze and understand the effects of open loop poles on the root locus when designing control systems to ensure stability and desired performance.
When analyzing the root locus of a system, the addition of open loop poles has a significant impact on the behavior of the system. The root locus is a graphical representation of the possible locations of the closed-loop poles as a parameter, typically the gain, is varied. By understanding the effects of adding open loop poles, we can determine the resulting behavior of the system.
Explanation:
When open loop poles are added to a system, it affects the root locus in the following ways:
1. Shift towards the right: The addition of open loop poles shifts the root locus towards the right side of the complex plane. This is because the poles add more stability to the system, making it harder for the closed-loop poles to move towards the left side of the complex plane.
2. System instability: As the root locus shifts towards the right, the system becomes more unstable. This is because the poles move away from the left side, where stability is typically achieved. The closer the root locus gets to the right side, the more likely it is for the closed-loop poles to move into the unstable region.
3. Unstable system: Eventually, if enough open loop poles are added, the root locus can reach a point where the closed-loop poles cross the imaginary axis into the right half-plane. At this point, the system becomes unstable, as it has poles with positive real parts.
Conclusion:
In summary, the addition of open loop poles pulls the root locus towards the right side of the complex plane. This results in the system becoming more unstable, with the possibility of the closed-loop poles crossing into the right half-plane. It is important to carefully analyze and understand the effects of open loop poles on the root locus when designing control systems to ensure stability and desired performance.
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The addition of open loop poles pulls the root locus towards:a)The right and system becomes unstableb)Imaginary axis and system becomes marginally stablec)The left and system becomes unstabled)The right and system becomes unstableCorrect answer is option 'D'. Can you explain this answer?
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