Extended dynamics observer for linear systems with disturbance

This paper aims at designing observer for single-input-single-output (SISO) linear finite-dimensional sys-tems corrupted by general disturbances. A new observer, referred to as extended dynamics observer (EDO), is proposed to estimate both state and disturbance simultaneously. The only assumption for the observer design is that the plant with unknown disturbance is observable. The disturbance is treated by combi-nation of high-gain and internal model contained in the extended dynamics. The main advantage of the developed method lies in the maximum utilization of the prior information of the disturbance. The more accurate the prior disturbance dynamics we have, the better performance the observer would be. The well-posedness of EDO is established and the theoretical results are validated by numerical simulations.(c) 2023 European Control Association. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper designs an observer for SISO linear finite-dimensional systems corrupted by general disturbances. The proposed observer, called extended dynamics observer (EDO), can estimate both state and disturbance simultaneously. The observer design assumes that the plant with unknown disturbance is observable. The main advantage of this method is the maximum utilization of prior information of the disturbance. The well-posedness of EDO is established and the theoretical results are validated by numerical simulations. (c) 2023 European Control Association. Published by Elsevier Ltd. All rights reserved.