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A person is a system
You can use the root locus technique both in open and closed loop
You can use the double Bode diagram to study the relative stability of a control system by adding the contributions of the plant, controller and feedback
If we begin in the stable part of a root locus, we have infinite GM and we increase the gain of the proportional controller (in the main branch) the control system becomes more precise (or keeps perfect precision if it already had it)
Stability and oscillations are COMPLETELY independent
Design specifications define the minimal characteristics needed by our control system
If we increase the gain of a main branch controller and the closed loop system is stable, the control system will be faster (or equally) than with a lower gain
We have to expect expect (and the root locus can show it) as many closed-loop poles as open-loop (in C(s)G(s)H(s)) ones
If we have an integrator in the global transfer function, this system will go to infinity responding to a unit step input
The speed of response for every system will be determined by the real part of its poles