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Control system miscellaneous

  1. The correct sequence of steps needed to improve system stability is
    1. insert derivative action, use negative feedback reduce gain
    2. reduce gain, use negative feedback, insert derivation action
    3. reduce gain, insert derivation action, use negative feedback
    4. use negative feedback, reduce gain, insert derivation action
Correct Option: D

Since all the coefficients in all the three polynomials are positive, it is required to construct Hurwitz table for further checking.
1. s4 + 7s3 + 17s2 + 17s + 6
This is seen to be a Hurwitz polynomial as all the terms in the first column have the same sign.

2. s4 + 11s3 + 41s2 + 61s + 30
This also is a Hurwitz polynomial

3. s4 + s3 + 2s2 + 3s + 2
This is not a Hurwitz polynomial



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