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I have an assignment where I have to design a PI-controller for a first order system. The system is given by : G =566.1 / (s +0.3514).

I have a slight problem understanding how to deal with this as the Bode plot gives me -90 degrees of phase shift. Usually I would design my controller with a 60 degree phase margin, but that's when I have -180 degree phase shift. I am a bit lost.

Any help would be appreciated

Kind regards