Abstract
For linear analytic systems, input-output linearization problem was already solved by Isidori, et al2) in terms of the nonlinear structure algorithm3). In this paper, we study the input-output linearization problem for general nonlinear system x=f(x, u), y=h(x).
Firstly, we give a simple necessary and sufficient condition under which the input-output behavior is linear. The condition is trivial if the system is linear analytic system2). Secondly, the nonlinear structure algorithm is extended for general nonlinear systems. The extended algorithm yields necessary and sufficient conditions to be satisfied by plant for the input-output linearization via state feedback, whose proof provides a state feedback law.
