A recursive algorithm is presented for the deadbeat predictive control
that brings the output response to rest after a few time steps. The m
ain idea is to put together the system identification process and the
deadbeat control design into a unified step. It starts with reformulat
ing the conventional multistep output-prediction equation to explicitl
y include the coefficient matrices to weight past input and output tim
e histories for computation of feedback control force. The formulation
thus derived satisfies simultaneously the system identification and t
he deadbeat control requirements. As soon as the coefficient matrices
are identified satisfying the output prediction equation, no further w
ork is required to design a deadbeat controller The method can be impl
emented recursively just as any typical recursive system identificatio
n technique.