Robust observer for input and state estimation in building structure systems

Abstract

This paper develops a robust observer for a class of linear systems subject to unknown signals, uncertainties, and disturbance output measurements for building structure systems. The highlight of the proposed observer is that it mitigates the adverse effects present in physical systems as it happens with the structural systems of buildings. The proposed robust observer provides a simultaneous estimation of building displacements and velocities (state vector) and the seismic force acceleration signal (unknown input) from noisy acceleration measurements of the structure. These estimations can help to reduce the displacements of building structure systems with the aid of a vibration controller. The convergence analysis of the proposed robust observer is based on Lyapunov theory, which resulted in a simple set of Linear Matrix Inequalities. An example considering a two-story building-like structure was performed to illustrate the effectiveness of the proposed observer.

Displacement and Velocity Estimation in Building Structures Using an Algebraic Observer

“…Moreover, a Luenberger observer plus a Kalman filter to estimate the displacements of the structure considering a finite element model and measurement noise were proposed in [32] and later experimentally evaluated in [33]. An extension of this approach is presented in [34], where was developed a robust observer that estimates the states and the seismic event from noisy acceleration measurements. The observer also considers internal and external bounded uncertainties.…”