S. Sen et Kb. Datta, TIME-OPTIMAL CONTROL ALGORITHM FOR 2-TIME-SCALE DISCRETE-SYSTEMS - A MULTIRATE APPROACH, Control, theory and advanced technology, 9(3), 1993, pp. 733-743
In this paper, the time-scale separation technique is applied to a dis
crete two-time-scale system for obtaining the time-optimal control law
. The main important feature of the proposed algorithm is that it inco
rporates a multirate approach, where the computations for slow and fas
t subsystems are carried out in different time-scales. It has been sho
wn that following the proposed algorithm, considerable storage and com
putational-time reduction can be achieved, while maintaining a closene
ss between the continuous and discrete-time solutions. These features
make the proposed method an attractive one for on-line computation of
time-optimal control.