Abstract
The design of global fixed-time observer for a category of lower-triangular nonlinear systems is reported in this brief. Under a wild condition that admits the Hölder continuous conditions as a special case, a constructive algorithm of global fixed-time observer design is proposed by virtue of non-recursive combining bi-limit homogeneous technique. Rigorous stability analysis as well as robustness with respect to exogenous disturbances is provided to show the proposed observer ensuring global fixed-time convergent performance of the estimation error dynamics. Simulation results of an example of MEMS mirror with the nonlinear viscous damping dissipative load are given to confirm the effectiveness of the proposed algorithm.
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