Answer:
The term for the pole placement controller is G/(s² + 1) +GH
Explanation:
Solution
Given that:
A plant of order = 50
The sinusoids of frequency ω = 1 rad/sec.
Lt the transfer of equation of plant be represented as follows:
T/F = G/1+GH
= K/ans^50 + ans - 1^49 +........As +a₀
The pole placement order becomes:
Step 1:
Gc (s) =A/s
Now
The transfer function = GGc/1 +GG c H
=G/s + GHA
Step 2:
For sinusoidal controller w = = 1 rad/sec.
Gc (s) = w/s² + w²
= 1 + /s² + 1
Thus
The transfer function = GGc/1 +GGcH
= G/(s² + 1) +GH
the term for the pole placement controller is G/(s² + 1) +GH
