Tracking performance of a high-gain observer in the presence of measurement noise

Unlike previous work in the area of high-gain observers, the focus of this paper is the effect measurement noise has on the tracking error, not the estimation error. Although a tradeoff exists between the speed of state reconstruction and the bound on the steady-state estimation error, such a compromise is not evident in the tracking error of the first state. The purpose of this work is to provide the reader with the relationship between the high-gain observer parameter and the tracking error and its subsequent derivatives. Copyright © 2015 John Wiley & Sons, Ltd.