Finite-time-observer design for nonlinear impulsive systems with impact perturbation

This paper investigates the observer design problem of nonlinear impulsive systems with impact perturbation. By using the concept of normal form, this paper proposes a full-order finite-time observer, which guarantees the finite-time convergence independent of the impact perturbation. A reduced-order observer is additionally developed for the proposed normal form. An illustrative example is given in order to illustrate the capability of the proposed method.