Work

Adaptive State Observers of Linear Time-Varying Descriptor Systems: A Parameter Estimation-Based Approach

Year: 2025

Type: article

Abstract: In this paper, we apply the recently developed generalized parameter estimation-based observer design technique for state-affine systems to the practically important case of linear time-varying descriptor systems with uncertain parameters. We proceed from the general description of the system given by the Standard Canonical Form and try to develop a comprehensive theory for the design of adaptive observers for these systems. A consequence of our intention to keep the analysis as general as possible is that the final results are a little bit cryptic. Certainly, proceeding from this general framework, we can address particular cases and achieve some practically workable designs. We have identified several critical aspects of the problem. For instance, the highly relevant role played by the strangeness index and underscore the differences between the time-variant and the time-invariant cases, which are quite significant. We give simulation results of benchmark examples that illustrate the performance of the proposed adaptive observer.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2025.3582735

Authors: Romeo Ortega, Alexey Bobtsov, Fernando Castaños, Nikolay Nikolaev

Institutions: Instituto Tecnológico Autónomo de México, ITMO University, Hangzhou Dianzi University, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Technion – Israel Institute of Technology

Language: English

Topic: Control Systems and Identification

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Fondation Schlumberger pour l’Education et la Recherche, Higher Education Discipline Innovation Project

Award: G3413785771