Work

A Pseudo-Formal Linearization for Nonlinear Time-Varying Systems via Chebyshev Expansion and Nonlinear Observer

Year: 2025

Type: article

Abstract: This paper is concerned with a pseudo-formal linearization for nonlinear time-varying systems exploiting Chebyshev expansion, and a nonlinear observer design as an application of this method. A given nonlinear time-varying system can be transformed into several augmented linear time-varying systems by a pseudo-formal linearization based on Chebyshev expansion. And then we unite them into a single linear time-varying system by an automatic choosing function. As an application of the method, a nonlinear observer is synthesized. Numerical experiments show the effectiveness of the method.

Source: Journal of Signal Processing

DOI: 10.2299/jsp.29.37

Authors: Kazuo Komatsu, Hitoshi Takata

Institutions: National Institute of Technology, Kumamoto College, Kagoshima University

Language: English

Topic: Control Systems and Identification

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408082090

FWCI: 0.392

Cites: 15

Cited by: 1

Related to: 10