Representing a Nonlinear State Space System as a Set of Higher-Order Differential Equations in the Inputs and Outputs

摘要

An algorithm for transforming a nonlinear state space system into a threefold set of equations is presented. The first subset describes the dynamics of the unobservable part of the system. The second subset represents the remaining state variables as functions of inputs and outputs and their derivatives. The last subset defines the external behavior of the system.