This paper investigates the use of nonregular (not necessarily regular
) static/dynamic state feedbacks to achieve feedback linearization of
affine nonlinear systems. First, we provide an example that is nonregu
lar static feedback linearizable but is not regular dynamic feedback l
inearizable. Then we present some preliminary necessary conditions as
well as sufficient conditions for nonregular feedback linearization. T
he sufficient conditions are checkable, and if they are verified, a li
nearizing feedback could be calculated following a recursive procedure
, provided that the integrations of a set of completely integrable sys
tems are available. (C) 1997 Elsevier Science Ltd.