Work

New observer and state estimates to nonlinear systems with real-order derivatives

Year: 2025

Type: article

Abstract: The problem of constructing an observer system to nonlinear systems with real-order derivatives seems a very new issue in advanced control theory. This paper considers real-order derivative systems associated with time-dependent coefficients and different orders in ( 0 , 1 ] , and the random initial-time lying in the real number line. We implement the known idea of linear nonhomogeneous time-varying controller and provide an approach that can be used to design an observer for such systems. We develop new comparison results that give order-dependent criteria in order to construct observers for such systems. It is found that the Metzler matrix and a non-negative matrix play an important role in the analysis of observers and state estimates of such systems.

Source: Franklin Open

DOI: 10.1016/j.fraope.2025.100323

Authors: Bichitra Kumar Lenka, Swaroop Nandan Bora

Institutions: Indian Institute of Technology Dhanbad, Indian Institute of Technology Guwahati

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

OpenAlex ID: W4412658253

FWCI:

Cites: 77

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Related to: 10