The order of an open loop system depends on the number of reactive elements either L or C , or -C with negative feedback in a closed loop system or a high pass type passive filter.
We choose compensation to compromise for stability or or gain or bandwidth reasons towards making it dominated by a -1 order slope at 0dB for it’s closed loop gain. The gain margin is often less or unimportant.
Since each contributes a + or - 90 deg phase shift the break point of each occurs at |45 deg| then extends for +/-2 frequency decades towards its final contribution in phase shift.
Looking at the Bode Plot of amplitude we also know each n order of magnitude change in slope is 6dB per octave or 1/2 f to f to 2f .
Unfortunately using just amplitude margin at 180 deg is not enough to evaluate stability because you only have 5 deg of phase margin at 0dB, so your step response will ring , very-underdamped at that frequency of minimum phase margin at 0.1 rad/s.
There is a lead-lag filter in this curve at 20 rad/s but it is far too high in its R1:R2C break point to do any good at 0.1 rad/s
So you can define your design requirements for Gain BW and phase margin eg >30 deg or 45 deg and increase that lead-lag cap value by a factor of 20/0.1 =200x bigger or tell us what you want to do?