Observer design for multivariable transport-reaction systems based on spatially distributed measurements

• Autores: Yupanqui Tello, Ivan Francisco, Vande Wouwer, Alain, Coutinho, Daniel
• Formato: artículo
• Fecha de Publicación: 2022
• Institución: Universidad Tecnológica del Perú
• Repositorio: UTP-Institucional
• Lenguaje: inglés
• OAI Identifier: oai:repositorio.utp.edu.pe:20.500.12867/5926
• Enlace del recurso: https://hdl.handle.net/20.500.12867/5926; https://doi.org/10.1016/j.sysconle.2022.105323
• Nivel de acceso: acceso abierto
• Materia: Distributed parameter systems; Mathematical optimization; Dynamical system; https://purl.org/pe-repo/ocde/ford#2.02.03

This paper is concerned with the design of observers for a class of one-dimensional multi-state transport-reaction systems considering distributed in-domain measurements over the spatial domain. A design based on the Lyapunov method is proposed for the stabilization of the estimation error dynamics. The approach uses positive definite matrices to parameterize a class of Lyapunov functionals that are positive in the Lebesgue space of integrable square functions. Thus, the stability conditions can be expressed as a set of LMI constraints which can be solved numerically using sum of squares (SOS) and standard semi-definite programming (SDP) tools. In order to evaluate the proposed methodology, a state observer is designed to estimate the variables of a nonisothermal tubular reactor model. Numerical simulations are presented to demonstrate the potentials of the proposed observer.