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A new approach to design interval observers for nonlinear systems

A new approach to design interval observers for a class of nonlinear systems is proposed in this paper. Based on the matrix theory, a simple elementary operation is given to find a positive realization for the systems with bounded uncertainties. Compared with previous works, the main contribution of this work is to provide a method to guarantee the existence of an observer gain by means of such a positive representation. Finally, a numerical example is provided to demonstrate efficiency of the proposed approach.