What is the correct derivation of the magnetic levitation system dynamics?

From MurrayWiki

Jump to: navigation, search

The equations in the slides form the lecture did not match the physical system. The equations should have been

math

where z is the distance of the ball from the magnet (so positive z is down). The linearization of this equation around an equilibrium point gives a transfer function of

math

which corresponds to the plots that were shown. The computations requried for the plots can be found in L9_2_maglev.m.

--Richard Murray 08:01, 23 November 2006 (PST)