I did not get the "re-label where we call zero" part. It looked like you made Hbar = 0, but then you took the square root of it n the slope term, making it result in -a/4A. It looks mathematically inconsistent, to consider Hbar to be zero only at one part. Could you explain? (Or someone that got this)
(Answering 1 year after, but I hope it helps someone) Yes, looks inconsistent, but you can interpret it as: You re-label what you consider zero in another variable, an auxiliary variable, not exactly the same as considering Hbar = 0. The operating point is still at the original H = 4, a point where there's no discontinuity. The value of the slope is calculated at H = 4 and fixed (The slope is still -a/4A). Only then you re-label it. But I agree with you that maybe another variable should be used, an auxiliary variable, to represent this re-labelling.
Hello. Thanks for interesting video. Can you give more detail process about step: x-xbar->x in state space equation and how simulink model and controller connect with it will look like. Thanks you so much.
Hello Brian! in the final equation you have gotten and when I tried to substitute in value of the operating point(H_bar, V_bar), does the left side (H_dot) has to equal to zero? I tired to substitute but I have gotten nonzero value, why?
