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Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers

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2 Author(s)
Yanjun Shen ; Coll. of Sci., China Three Gorges Univ., Yichang, China ; Yuehua Huang

There exist semi-global and finite-time converging observers for nonlinear systems that are uniformly observable and globally Lipschitzian. This was achieved with local finite-time stability theory, together with application of the technique of high-gain observers (the gain is constant). Under the same conditions, it is shown that these systems admit global finite-time observers. The proposed finite-time observers are based on a modified version of high-gain observer (now the gain is an exponential function with arbitrary growth rate). Design procedures are worked out for such observers, and a numerical example is presented to show the effectiveness of the proposed method.

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Automatic Control, IEEE Transactions on  (Volume:54 ,  Issue: 11 )