Work

On Necessary and Sufficient Conditions to Design Luenberger Observer for Descriptor Systems With Unknown Inputs

Year: 2026

Type: article

Abstract: ABSTRACT Linear time‐invariant descriptor systems with unknown inputs, not necessarily regular, are studied. The existence conditions for a Luenberger observer for this system are addressed in terms of the system coefficient matrices. Novel necessary and sufficient conditions for the existence of a Luenberger observer have been derived. The proposed rank criteria are milder than those existing in the previous literature. Orthogonal transformations are used to ensure numerical stability. Using the proposed conditions, techniques to design two different reduced‐order Luenberger observers are proposed. Numerical and physical examples illustrate the application.

Source: International Journal of Robust and Nonlinear Control

DOI: 10.1002/rnc.70399

Authors: Mamoni Paitandi, Mahendra Kumar Gupta

Institutions: National Institute of Technology Jamshedpur, Indian Institute of Technology Bhubaneswar

Language: English

Topic: Control Systems and Identification

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: University Grants Commission of Bangladesh, National Research Foundation, University Grants Commission, Science and Engineering Research Board

Award: G3374807156