Robust State Estimation for Linear Time-Varying Systems Using High-Order Sliding-Modes Observers

Jorge Dávila*, Leonid Fridman, Arie Levant

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


This chapter presents two algorithms for state estimation of linear time-varying systems affected by unknown inputs. The chapter is divided into two parts. The first part presents an observer for the class of strongly observable linear time-varying systems with unknown inputs. The proposed observer uses a cascade structure to guarantee the correct state reconstruction despite bounded unknown inputs and system instability. The second part of this chapter presents a finite-time observer that exploits the structural properties of the system through a linear operator. The particular design of this observer allows for avoiding the use of a cascade structure, providing with reduced complexity an exact estimate of the states after a finite transient time, even in the presence of possible instability of the system and the effects of bounded unknown inputs.

Original languageEnglish
Title of host publicationStudies in Systems, Decision and Control
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages30
StatePublished - 2023

Publication series

NameStudies in Systems, Decision and Control
ISSN (Print)2198-4182
ISSN (Electronic)2198-4190


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