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## Homework Statement

With unity position feedbck, i.e. make K2=0, plot

*root locus*as a function of pitch gain (K1). By imposing 2nd order system approximation, estimate settling time, rise time, peak time of the closed-loop system with 20% overshoot.

- Pic of system: https://app.box.com/s/lb7djxnuiwzer1he59rb
- Plant dynamics: https://app.box.com/s/s7szsp7rztjndh58oolc

## Homework Equations

- Stable system output, Y(s): https://app.box.com/s/amxzxskcbvocbi8uvu59

## The Attempt at a Solution

I have derived the open & closed loop transfer functions for the system, when K2=0. From this I have determined the poles & zeros:

- 1 pole at, s=-2
- 1 pole at, s=-1.25

- 1 zero at, s= -0.452

- A complex conjugate pair at, -0.177+/- 0.051j
- Plotted the
*root locus*: https://app.box.com/s/6o5y65btkp3zbvc31cqg - I now have no idea how to impose 2nd order approx & estimate rise time etc. Please help...