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A Flow-Based Approximation of Observer Error Linearization for Non-Linear Systems

This paper deals with observer design for non-linear single output systems. When a classical observer error linearization by output injection is not possible due to restrictive existence conditions, a simple approximation scheme is proposed. The method can be applied to a wider class of non-linear systems. Our approach is constructive and can be implemented using computer algebra packages. The design procedure is carried out for two example systems. Key–Words: Differential geometry, non-linear differential equations, observers