State estimation and simultaneous unknown input and measurement noise reconstruction based on associated observers

摘要

This paper considers the problems of the state estimation and the simultaneous unknown input and measurement noise reconstruction when the observer matching condition is not satisfied. A new augmented system is constructed by introducing a new augmented state vector. An auxiliary output vector is proposed to deal with the observer matching condition issues, and a high-order sliding mode observer is considered to get the exact estimates of both the auxiliary outputs and their derivatives in a finite time. A reduced-order observer is developed to asymptotically estimate the system states, and a kind of reconstruction method of the new system's unknown inputs is proposed to reach the goal of reconstructing the original system's unknown input and measurement noise. Finally, a numerical simulation example is given to illustrate the effectiveness of the proposed methods.