See attached files for full problem descriptions.
The damping factor is ς = 0.5. Find Kp and ωn to have closed loop poles.
There is a breakpoint is at s = -0.53.
P(s) =© BrainMass Inc. brainmass.com September 24, 2018, 11:59 am ad1c9bdddf - https://brainmass.com/engineering/electrical-engineering/root-locus-controller-design-86968
Solution attaches two zip files to answer two sets of questions on root locus and controller design.