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OLTF contains one zero in right half of s-plane then
  • a)
    Open loop system is unstable
  • b)
    Close loop system is unstable
  • c)
    Close loop system is unstable for higher gain
  • d)
    Close loop system is stable
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
OLTF contains one zero in right half of s-plane thena)Open loop system...
Answer: c
Explanation: OLTF contains one zero in right half of s-plane then Close loop system is unstable for higher gain.
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OLTF contains one zero in right half of s-plane thena)Open loop system...
Open Loop Transfer Function (OLTF)
The open loop transfer function (OLTF) is the transfer function of a system without any feedback. It describes the relationship between the input and output of the system. In control systems, the OLTF is typically represented by the ratio of the Laplace transform of the output to the Laplace transform of the input.

Zero in the Right Half of s-Plane
In the s-plane, which is used to represent the complex frequency domain, the right half represents the unstable region. Therefore, if there is a zero in the right half of the s-plane, it indicates that the system has an unstable behavior.

Stability of the Open Loop System
The stability of a system can be determined by analyzing the poles and zeros of the transfer function. If all the poles of the transfer function lie in the left half of the s-plane, the system is stable. However, if any of the poles lie in the right half of the s-plane, the system is unstable.

Effect on Closed Loop System Stability
When the OLTF is used in a closed loop system, the stability of the closed loop system depends on the stability of the open loop system and the gain of the system.

Higher Gain and Unstable Closed Loop System
If the gain of the closed loop system is increased, it can lead to instability. This is because a higher gain amplifies the effects of the system's dynamics, including any unstable behavior. Therefore, even if the OLTF has a zero in the right half of the s-plane, the closed loop system can become unstable for higher gain values.

Conclusion
In the given scenario, if the OLTF contains one zero in the right half of the s-plane, the closed loop system is unstable for higher gain values. This means that increasing the gain of the closed loop system can lead to instability, even though the OLTF has a zero in the unstable region. It is important to consider the stability of the open loop system and the gain of the closed loop system when analyzing the stability of a control system.
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OLTF contains one zero in right half of s-plane thena)Open loop system is unstableb)Close loop system is unstablec)Close loop system is unstable for higher gaind)Close loop system is stableCorrect answer is option 'C'. Can you explain this answer?
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