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Statement (I): Many of the linear control system transfer functions do not have poles or zeroes in the right half of s-plane.

Statement (II): These are called minimum-phase transfer functions

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  1. Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
  2. Both Statement (I) and Statement (II) are individually true but Statement (II) is NOT the correct explanation of Statement (I)
  3. Statement (I) is true but Statement (II) is false
  4. Statement (I) is false but Statement (II) is true

Answer (Detailed Solution Below)

Option 1 : Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
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Detailed Solution

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1) A minimum phase transfer function has all its poles and zeroes only in the left half of the s-plane.

2) An all-pass transfer function is a non-maximum phase transfer function because in the all-pass transfer function the poles and zeroes are symmetric to jω (imaginary) axis.


This is explained with the help of the following pole-zero plot:

F1 S.B Madhu 06.07.20 D2

 

F1 S.B Madhu 06.07.20 D3

Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

 

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