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

Distributed parameter systems; Linear matrix inequalities; State estimation; Sum of squares; Distributed measurements; Domain measurements; Linear matrix in equalities; Multi variables; Multi-state; Observers designs; One-dimensional; Sums of squares; Transport reaction; Control and Systems Engineering; Computer Science (all); Mechanical Engineering; Electrical and Electronic Engineering; General Computer Science

Abstract :

[en] 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.

Disciplines :

Chemical engineering

Author, co-author :

Tello, Ivan F.Y. ; Systems, Estimation, Control, and Optimization (SECO), University of Mons, Belgium ; Postgraduate Program in Engineering of Automation and Systems, Federal University of Santa Catarina, Brazil ; Department of Electronics, Power Electrical and Mechatronics Engineering, Campus ATE, Technological University of Peru, Peru

Vande Wouwer, Alain ; Université de Mons - UMONS > Faculté Polytechnique > Service Systèmes, Estimation, Commande et Optimisation

Coutinho, Daniel ; Postgraduate Program in Engineering of Automation and Systems, Federal University of Santa Catarina, Brazil

Language :

English

Title :

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

Publication date :

21 July 2022

Journal title :

Systems and Control Letters

ISSN :

0167-6911

eISSN :

1872-7956

Publisher :

Elsevier B.V.

Volume :

167

Pages :

105323

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0167691122001190?httpAccept=text/xml

Research institute :

R100 - Institut des Biosciences
R200 - Institut de Recherche en Energie

Available on ORBi UMONS :

since 20 September 2022

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