This paper develops the theory for tracking control using the nonlinear H-i
nfinity control design methodology for a class of nonlinear input affine sy
stems. The authors use a two-step process of first designing the feedforwar
d part of the controller to design for perfect trajectory following and the
n design the feedback part of the controller using nonlinear H-infinity reg
ulator theory. Results for infinite-time and finite-time horizons are prese
nted.