He also made important contributions to control system theory and mathematical tools for the analysis of stability of linear systems, inventing Bode plots, gain margin and phase margin.
12.
He developed the graphical design technique of the Bode plots to show the gain margin and phase margin required to maintain stability under variations in circuit characteristics caused during manufacture or during operation.
13.
The step response characteristics applied in a specification are typically percent overshoot, settling time, etc . The open-loop response characteristics applied in a specification are typically Gain and Phase margin and bandwidth.
14.
This is due to the fact that the phase margin and the maximum overshoot are defined by one parameter only ( the fractional power of s ), and are independent of open-loop gain.
15.
He pioneered the field of robust control with the solution of the gain margin and phase margin problems using techniques from Nevanlinna Pick interpolation theory, which was the first H-infinity type control problem solved.
16.
The Darlington pair has more phase shift at high frequencies than a single transistor and hence can more easily become unstable with negative feedback ( i . e ., systems that use this configuration can have poor phase margin due to the extra transistor delay ).
17.
OL ), so an equivalent way to find " f " 0 dB is to look where the feedback gain intersects the open-loop gain . ( Frequency " f " 0 dB is needed later to find the phase margin .)
18.
What could be simpler than a Bode plot or the Nyquist stability criterion ? dislaimer : I'm a former electronic engineer, indoctrinated in things like phase margin-these were perceived as rock-solid, centuries-old foundation when I studied them . ..
19.
The phase margin of the open-loop system sets the quality factor " Q " of the closed-loop system; as the phase margin decreases, the approximate second-order closed-loop system is made more oscillatory ( i . e ., has a higher quality factor ).
20.
The phase margin of the open-loop system sets the quality factor " Q " of the closed-loop system; as the phase margin decreases, the approximate second-order closed-loop system is made more oscillatory ( i . e ., has a higher quality factor ).
