Dissipative observers for coupled diffusion–convection–reaction systems. (August 2018)

• Record Type: Journal Article
• Authors: Schaum, Alexander; Meurer, Thomas; Moreno, Jaime A.
• Is Part Of: Automatica. Volume 94(2018)
• Page Start: 307
• Page End: 314
• Publication Date: 2018-08
• Subjects: Distributed-parameter systems -- Observer -- Dissipativity -- PDEs -- Detectability; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.04.041
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: The dissipativity-based observer design approach is extended to a class of coupled systems of 1-D semi-linear parabolic partial differential equations (PDEs) of diffusion–convection–reaction type with in-domain point measurements. This class of systems covers important application examples like tubular or catalytic reactors. By combining a dissipativity (sector) condition for the nonlinearity with a modal measurement injection for the linear differential operator sufficient conditions for the exponential convergence of the observer are derived in the form of a linear matrix inequality (LMI). The performance of the proposed approach is illustrated for an exothermic tubular reactor model.