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 finite time observer, which guarantees the finite time convergence independent of the impact perturbations. Reduced order observer is developed as well for the proposed normal form. An illustrative example is given in order to show the feasibility of the proposed method.