On the computation of physically realizable generalized flat inputs for nonlinear single‐output systems from a geometric point of view

Abstract

Physical realizability is a structural property of (classical) flat inputs for state space systems which originate from higher order differential equations. These state space systems contain a derivative array, i.e., an integrator chain. Flat input injections into this array, however, structurally prevents from the reversal of the order reduction. Using a generalized flat input definition, we demonstrate how physical realizability can be achieved.