Unknown input observer for quadratically inner bounded-one sided Lipschitz perturbed nonlinear systems

In this paper, the problem of designing an observer for quadratically inner bounded (QIB) and one-sided Lipschitz (OSL) nonlinear systems considering perturbations in the output and unknown inputs is addressed. The observer synthesis procedures are formulated as convex optimisation problems. Suffici...

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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:digital.csic.es:10261/385150
Acceso en línea:http://hdl.handle.net/10261/385150
https://api.elsevier.com/content/abstract/scopus_id/85211252420
Access Level:acceso abierto
Palabra clave:Nonlinear systems
Observer design
One sided Lipschitz
Quadratically inner bounded
Unknown input observer
Descripción
Sumario:In this paper, the problem of designing an observer for quadratically inner bounded (QIB) and one-sided Lipschitz (OSL) nonlinear systems considering perturbations in the output and unknown inputs is addressed. The observer synthesis procedures are formulated as convex optimisation problems. Sufficient conditions for observer gain synthesis are shown to be equivalent to solve finite sets of Linear Matrix Inequalities (LMIs) and Linear Matrix Equalities (LMEs). Three illustrative examples based on an isothermal CSTR reactor, a water tank-open channel system and FitzHugh–Nagumo system are used to illustrate how the proposed approaches are used to design the QIB-UIO scheme. The obtained simulation results are presented to assess the performance of the proposed method.