Global Finite-time Observers for a Class of Non-Lipschitz Systems ⋆
نویسندگان
چکیده
Global finite-time observers are designed for a class of nonlinear systems that are uniformly observable and possibly non-Lipschitz. The non-Lipschitz conditions under which global finite-time observers exist are in terms of bounds of the varying rational powers of the increments of the non-Lipschitz nonlinearities. These are the same conditions under which semi-global finite-time observers were constructed previously. Different from the semi-global observers, the new observers are designed with two, instead of one, homogeneous terms. The global finite-time convergence of the observer is achieved by combining global asymptotical stability and local finite-time stability.
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