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The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:
- a)Both the criteria provide information relative to the stable gain range of the system.
- b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.
- c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.
- d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The Nyquist stability criterion and the Routh criterion both are power...
The False Statement:
The false statement is option 'D' which states that the closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.
Explanation:
The Nyquist stability criterion and the Routh criterion are both powerful tools used to analyze the stability of feedback control systems. While both criteria provide valuable information about system stability, there are key differences between them.
1. Nyquist Stability Criterion:
The Nyquist stability criterion is based on the Nyquist plot which is a graphical representation of the frequency response of a system. It relates the frequency response of the open-loop transfer function to the stability of the closed-loop system. The Nyquist plot is obtained by plotting the complex values of the transfer function evaluated at various frequencies on a polar coordinate system.
2. Routh Stability Criterion:
The Routh stability criterion is a mathematical technique used to determine the stability of a system based on the coefficients of the characteristic equation. It constructs a Routh array using the coefficients and checks for the presence of any sign changes in the first column of the array. If there are no sign changes, the system is stable.
Analysis of the False Statement:
The false statement is option 'D' which states that the closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot. This statement is incorrect because the Nyquist plot provides valuable information about the closed-loop frequency response of a system, including the gain and phase margins.
Correct Information:
The Nyquist plot can be used to determine the stability of a system and also provides information about the gain and phase margins. The gain margin indicates the amount of gain that can be added to the system before it becomes unstable, while the phase margin indicates the amount of phase lag that can be tolerated before instability occurs.
Therefore, the Nyquist plot is a powerful tool for analyzing the stability and frequency response characteristics of a system, including a unity feedback system.
Conclusion:
In conclusion, the false statement is option 'D' which states that the closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot. The Nyquist plot does provide information about the closed-loop frequency response, including the gain and phase margins.
The false statement is option 'D' which states that the closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.
Explanation:
The Nyquist stability criterion and the Routh criterion are both powerful tools used to analyze the stability of feedback control systems. While both criteria provide valuable information about system stability, there are key differences between them.
1. Nyquist Stability Criterion:
The Nyquist stability criterion is based on the Nyquist plot which is a graphical representation of the frequency response of a system. It relates the frequency response of the open-loop transfer function to the stability of the closed-loop system. The Nyquist plot is obtained by plotting the complex values of the transfer function evaluated at various frequencies on a polar coordinate system.
2. Routh Stability Criterion:
The Routh stability criterion is a mathematical technique used to determine the stability of a system based on the coefficients of the characteristic equation. It constructs a Routh array using the coefficients and checks for the presence of any sign changes in the first column of the array. If there are no sign changes, the system is stable.
Analysis of the False Statement:
The false statement is option 'D' which states that the closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot. This statement is incorrect because the Nyquist plot provides valuable information about the closed-loop frequency response of a system, including the gain and phase margins.
Correct Information:
The Nyquist plot can be used to determine the stability of a system and also provides information about the gain and phase margins. The gain margin indicates the amount of gain that can be added to the system before it becomes unstable, while the phase margin indicates the amount of phase lag that can be tolerated before instability occurs.
Therefore, the Nyquist plot is a powerful tool for analyzing the stability and frequency response characteristics of a system, including a unity feedback system.
Conclusion:
In conclusion, the false statement is option 'D' which states that the closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot. The Nyquist plot does provide information about the closed-loop frequency response, including the gain and phase margins.
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Community Answer
The Nyquist stability criterion and the Routh criterion both are power...
- Both Nyquist and RH criteria can be used to find the range of gain (k) for the system to be stable
- Bode plot can be used to find the transfer function which further can be used to determine the Nyquist Plot.
- RH criteria do not give accurate terms in case of exponential terms, an approximation can be obtained using exponential expansion up to 1st degree
- Nyquist plots are the continuation of polar plots for finding the stability of the closed-loop control systems by varying ω from −∞ to ∞.
Derivation:
Let us consider O.L.T.F of a unity feedback system as:
This represents a type = 1 and order – 2 system for which the Nyquist plot will be as shown below:
The closed-loop transfer function for the system is given as:
We can draw its Nyquist plot by simply substituting s = jω and obtain polar coordinates of T(jω) for different values of ω as:
So, the statement given in option (D) is false.
We can draw its Nyquist plot by simply substituting s = jω and obtain polar coordinates of T(jω) for different values of ω as:
So, the statement given in option (D) is false.
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The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer?
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The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer?.
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer?.
Solutions for The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:a)Both the criteria provide information relative to the stable gain range of the system.b)The general shape of the Nyquist plot is readily obtained from the Bode magnitude plot for all minimum-phase systems.c)The Routh criterion is not applicable in the condition of transport lag, which can be readily handled by the Nyquist criterion.d)The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
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