A Novel Unknown Input Observer Design for Nonlinear LPV Systems

This letter presents the design of an unknown input observer (UIO) for linear parameter-varying (LPV) systems, including nonlinearities that are assumed to fulfill one-sided Lipschitz quadratically inner-bounded (OSL-QIB) conditions. The proposed approach introduces a novel extension of conventional...

Descripción completa

Detalles Bibliográficos
Autores: Arango, Juan Pablo, Etienne, Lucien, Duviella, Eric, Langueh, Kokou, Segovia Castillo, Pablo, Puig, Vicenç
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2025
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:dnet:digitalcsic_::f552ac4259810ee25ee13b40fa326d08
Acceso en línea:http://hdl.handle.net/10261/427797
https://api.elsevier.com/content/abstract/scopus_id/105008554299
Access Level:acceso abierto
Palabra clave:Fluid mechanics
LPV
material and energy balances
OCIS
OSL-QIB
Unknown input observer
Descripción
Sumario:This letter presents the design of an unknown input observer (UIO) for linear parameter-varying (LPV) systems, including nonlinearities that are assumed to fulfill one-sided Lipschitz quadratically inner-bounded (OSL-QIB) conditions. The proposed approach introduces a novel extension of conventional LPV frameworks by directly incorporating nonlinear terms, aiming to improve observer performance and reduce the modeling errors typically introduced during the transformation of a nonlinear system into its LPV counterpart. A key contribution of this letter is the development of a UIO design that avoids the state transformation step, which is often highly complex and only valid under restrictive assumptions such as a constant unknown input matrix D. By eliminating this constraint, the proposed observer design significantly enhances scalability and applicability to a broader class of systems. The performance and effectiveness of the approach are demonstrated through both a numerical example and a well-established open-channel flow benchmark: the Corning channel in California, USA.