This is why I need to find someone that can verify the calculations in the pdf I posted above. Salesmen lie whenever their mouth is moving. Especially in China. I can provide irrefutable proof but no one understands it.
Do you understand what is in my pdf? ALl the math is there. No steps are skipped.
Note, I didn't actually go so far as to check your math, but when I looked through it, there was something that stuck out to me while wearing my skeptical "all sales guys lie" hat.
The equations at the bottom of the first page for the "desired characteristic equation", where the alphas and betas (i think) are introduced. It says "This characteristic equation will have the best response and smallest closed loop time constant", but you might need a reference to back up that assertion.
The results in the multiple start/stop graph seem counter-intuitive to me, based on a high level understanding of P control (ramp up speed, then slow down as you get closer). Maybe that's the difference between the ideal closed loop case and the simple open loop one? Obviously a bit out of my depth here, but possibly representative of your audience, whether or not that's what you were looking for.
The math in general looked more or less familiar compared to what I had seen in school. HOWEVER, if the audience never had that background, I'm not sure if even the top of the first page would make sense.
not sure if that helps any?