Predicting the future state of disturbed LTI systems: A solution based on high-order observers. (February 2021)

• Record Type: Journal Article
• Authors: Castillo, Alberto; García, Pedro
• Is Part Of: Automatica. Volume 124(2021)
• Publication Date: 2021-02
• Subjects: Predictor -- State-prediction -- Disturbance observer -- Linear Matrix Inequalities (LMI); Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2020.109365
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Predicting the state of a system in a relatively near future time instant is often needed for control purposes. However, when the system is affected by external disturbances, its future state is dependent on the forthcoming disturbance; which is –in most of the cases– unknown and impossible to measure. In this scenario, making predictions of the future system-state is not straightforward and –indeed– there are scarce contributions provided to this issue. This paper treats the following problem: given a LTI system affected by continuously differentiable unknown disturbances, how its future state can be predicted in a sufficiently small time-horizon by high-order observers. Observer design methodologies in order to reduce the prediction errors are given. Comparisons with other solutions are also established.