State and fault estimation of a class of nonlinear systems with slow internal dynamics: Asymptotic Decoupling approach

This paper presents an Unknown Input Observer (UIO) for a class of Lipschitz nonlinear systems affected by disturbances/faults and having slow internal dynamics after the decoupling (UI). Thanks to Asymptotic Decoupling notion, constraint related is bypassed. The UIO time varying that allows obtain notion. It will be shown proposed approach enhance convergence rate UIO. enhancement state estimation error demonstrated via Lyapunov analysis established conditions are expressed in terms Linear Matrix Inequalities. Finally, simulations given order illustrate with some comparisons existing techniques.