Non-fragile observers design for nonlinear systems with unknown Lipschitz constant

In this paper, the problem of globally asymptotically stable non-fragile observer design is investigated for nonlinear systems with unknown Lipschitz constant.Firstly, a definition of globally asymptotically stable non-fragile observer is given for nonlinear systems.Then, an observer function of output is derived by an output filter, and a dynamic high-gain is constructed to deal with unknown Lipschitz constant.Even the observer gains contain diverse large disturbances, the observer errors are proven to converge to the origin based on Lyapunov stability theorem and a matrix inequality.Finally, an experimental simulation is provided to confirm the validity of the proposed method.