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Statement I: The transportation lag in a system can be easily handled by using a Bode plot.

Statement II: The magnitude plot is unaffected, and only the phase plot shifts by –ωT rad due to the presence of e-st.

Choose the correct option:


1. Both statement I and statement II are true and statement II is the correct explanation of statement I.
2. Both statement I and statement II are 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.

1 Answer

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Correct Answer - Option 1 : Both statement I and statement II are true and statement II is the correct explanation of statement I.

The transportation delay transfer function is given by:

T(s) = e-st

Let, initially the transfer function is:

G1(s) = G(s)

Then,

|G1(ω)| = G & ∠ G1(ω) = ϕ1

Now, with transportation delay, New transfer function is given as:

G2(s) = G1(s) ⋅ T(s)

G2(s) = G(s) ⋅ e-st

Then,

|G2(ω)| = G & ∠ G2(ω) = ϕ1 – ωT

So, the bode magnitude plate is unaffected while the bode phase plot just shifts down by –ωT.

Hence, the statement I & II are correct and statement I is the correct explanation of statement II. 

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