A robust finite-time convergent multiple integral observer against input disturbance and measurement noise

This paper deals with the design of a robust finite-time convergent observer for linear systems in the presence of unknown input disturbance and measurement noise. In order to achieve the robust estimation performance and ensure the finite-time convergence, the proposed observer is constructed by combining a multiple integral observer with a hybrid system framework. Computer simulations are carried out to test the performance of the proposed observer against parameter uncertainties and an input disturbance as well as measurement noise.