An Algorithm for Dynamic Linearization by Generalized Output Injection

In this paper, a constructive algorithm is proposed for solving a generalized characteristic equation for a single-output nonlinear system. By a reasonable restriction of systems, the proposed method is feasible in the sense that we can obtain the functions satisfying the generalized characteristic equation step by step instead of getting them simultaneously. The proposed algorithm can be used for a dynamic observer error linearization by generalized output injection for a single-output nonlinear system.