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Doctors Medicines MCQs Q&A

Consider the following statements: 1. Adding a zero to the G(s)H(s) tends to push root locus to the left. 2. Adding a pole to the G(s)H(s) tends to push root locus to the right. 3. Complementary root locus (CRL) refers to root loci with positive K. 4. Adding a zero to the forward path transfer function reduces the maximum overshoot of the system. Which of the above statements are correct?

Consider the following statements: 1. Adding a zero to the G(s)H(s) tends to push root locus to the left. 2. Adding a pole to the G(s)H(s) tends to push root locus to the right. 3. Complementary root locus (CRL) refers to root loci with positive K. 4. Adding a zero to the forward path transfer function reduces the maximum overshoot of the system. Which of the above statements are correct? Correct Answer 1, 2 and 4 only

Effect of addition of zero to the system:

  • The angle of asymptotes increases and this root locus shift towards left side of s-plane slightly more
  • Breakaway point shifts towards the left in s plane
  • The system becomes more stable i.e. less oscillatory
  • The range of ‘K’ value of stability increases
  • The relative stability increases

 

Effect of addition of pole to the system:

  • The angle of asymptotes decreases and this root locus shift towards right side of s-plane slightly more
  • Breakaway point shifts towards the right in s plane
  • The system becomes less stable i.e. more oscillatory
  • The range of ‘K’ value of stability decreases
  • The relative stability decreases

 

Complementary root locus:

Complementary root locus (CRL) refers to the root loci of the closed-loop poles in the function of a negative open-loop gain K.

Effect on peak overshoot:

  • Addition of pole to forward path transfer function – increases
  • Addition of pole to the closed-loop transfer function – decreases
  • Addition of zero to forward path transfer function – decreases
  • Addition of zero to the closed-loop transfer function – increases

Related Questions

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