We consider the stabilization of a class of multivariable nonlinear sy
stems, about an equilibrium point at the origin, using variable struct
ure output feedback, control. In particular, the system can be transfo
rmed into a normal form with no zero dynamics. A robust high-grain obs
erver is used to estimate the state variables while rejecting the effe
ct of disturbance. A globally bounded discontinuous variable structure
controller is designed to compensate for modelling error. We show tha
t the controller can stabilize the closed-loop system and does not suf
fer from the peaking phenomenon that exists in previous designs.