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A new approach is presented to observing the state of a nonlinear control system. The class considered consists of nonlinear observable systems described by an ordinary differential equation in combination with a measurement equation. The system functions are required to be twice differentiable. Based on Newton's method, an iterative process of state approximation is derived. The algorithm computes a piecewise continuous function which is an ‘approximation’ of the true state. The convergence of the proposed algorithm is proved. Finally several examples show the performance characteristics of the method.
Gerta Zimmer (Sat,) studied this question.