The formula to calculate the Number of Asymptotes is:
\[ N_a = N - M \]
Where:
The Number of Asymptotes is the number of root locus branches starting at finite open loop poles and ending at infinite open loop zeros.
Let's assume the following values:
Using the formula:
\[ N_a = 13 - 6 \]
Evaluating:
\[ N_a = 7 \]
The Number of Asymptotes is 7.
| Number of Poles | Number of Zeroes | Number of Asymptotes |
|---|---|---|
| 10 | 6 | 4.000000000000 |
| 11 | 6 | 5.000000000000 |
| 12 | 6 | 6.000000000000 |
| 13 | 6 | 7.000000000000 |
| 14 | 6 | 8.000000000000 |
| 15 | 6 | 9.000000000000 |