A dominant mode is a complex pole that has a much lower frequency than the other system poles. This can be used to make a second-order approximation of the system. The equation for this approximation is
$$G(s)=y_{ss}\frac{\alpha^2+\beta^2}{(s+\alpha)^2+\beta^2}$$
Where \(\beta\) is the oscillation frequency, the settling time is \(5/\alpha\), and the steady state response is \(y_{ss}\)
- DominantNonmimphase
Backlinks:
Reduced Order Models
[[Second-Order Systems]]