Online algebraic disturbance estimation method for linear systems with noisy state measurements

Abstract

This paper aims to design an online algebraic disturbance estimation method for linear systems with noisy state measurements. The motivation is to provide a fast-convergent and robust online disturbance estimation method for active anti-disturbance control systems. By constructing a modulating functions vector, a state-based algebraic integral formula is derived for the disturbance of the studied system. Within a discrete noisy environment, the proposed formula can be numerically executed online with respect to a sliding integration window. Meanwhile, the analysis of error effects is also given based on the proposed formula. Finally, simulation examples are provided to illustrate the efficiency of the proposed method for an open-loop system and a closed-loop system, respectively.