This paper presents a,fuzzy cell-to-cell mapping method for implementi
ng a sub-optimal control law. The method preserves the simplicity and
flexibility properties of the original cell mapping technique, but it
relaxes the requirement on the number of cells. Since the new method g
enerates smooth control efforts, it does not create the chattering phe
nomena. Furthermore, the new method eliminates the problem of steady-s
tate error accumulation caused by the inexact state description. Exper
imental studies on the control of a DC servo motor show that finer gri
d sizes achieve trajectories that are closer to the analytical solutio
n. Different loadings were also tried on the motor to demonstrate the
robustness of the method.