12. Controlling Motion Near Hover
C3 L3 09 Controlling Motion Near Hover V1
In case you don't like seeing four dots above your variables, another way of writing the equations you saw in the video is as follows:
\begin{aligned}
\bar{u}_1 &= \frac{d^2z}{dt^2}
\\
\\
\bar{u}_2 &= \frac{d^4y}{dt^4}
\end{aligned}
Remember in the previous lesson when we tried to control a 1 dimensional vertical copter with "open loop control"? The error grew in proportion to the second power of time: e_z(t) \propto t^2.