Which of the following statements are correct?a)Root locus is for the ...
Answer: c
Explanation: Root locus and Complementary root locus are complementary to each other.
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Which of the following statements are correct?a)Root locus is for the ...
The correct statement is option 'C' - Root locus is for the negative feedback and Complementary root locus is for the positive feedback systems.
Explanation:
Root locus analysis is a graphical method used to analyze the behavior of a system as the poles and zeros of the transfer function vary. It helps in determining the stability and performance characteristics of a control system. The root locus plot depicts the possible locations of the system's poles as a parameter, typically the gain, is varied.
Root locus analysis is generally applicable to systems with negative feedback. Negative feedback is a common technique used in control systems to reduce the effects of disturbances and improve system performance. In a negative feedback system, the output of the system is fed back and compared with the desired output, and the error signal is used to adjust the system's behavior.
On the other hand, complementary root locus analysis is used for systems with positive feedback. Positive feedback is less common in control systems as it can lead to instability and oscillatory behavior. In a positive feedback system, the output is fed back and added to the input, which can amplify and reinforce the input signal.
The root locus plot shows the possible locations of the system's poles as the gain varies, while the complementary root locus plot shows the possible locations of the system's poles as the gain of the positive feedback loop varies. Both plots are used to analyze the stability and performance of the system and determine the range of gains for which the system remains stable.
In summary, root locus analysis is used for systems with negative feedback, and complementary root locus analysis is used for systems with positive feedback. Option 'C' is the correct statement as it correctly identifies the application of root locus and complementary root locus analysis in control systems.
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