Title :
A nonlinear Luenberger-type observer with application to catalyst activity estimation
Author :
Kazantzis, Nikolaos ; Kravaris, Costas
Author_Institution :
Dept. of Chem. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
The present work proposes a new approach to the nonlinear observer design problem. Based on the ideas that influenced the development of the linear Luenberger observer theory, the proposed approach develops a nonlinear analogue. The formulation of the observer design problem is realized via a system of first-order linear PDEs, and a rather general set of necessary and sufficient conditions for solvability is derived. Within the proposed design framework, both full-order and reduced-order observers are studied. The performance of the proposed nonlinear observer is evaluated in a batch reactor example, where catalyst deactivation takes place and the problem of catalyst activity estimation becomes truly important for an efficient reactor operation
Keywords :
batch processing (industrial); catalysis; chemical technology; nonlinear systems; observers; partial differential equations; batch reactor; catalyst activity estimation; catalyst deactivation; first-order linear PDEs; full-order observers; necessary and sufficient conditions; nonlinear Luenberger-type observer; nonlinear observer design; reduced-order observers; solvability; Availability; Chemical engineering; Design methodology; Inductors; Linear systems; Monitoring; Nonlinear systems; Observers; State estimation; Sufficient conditions;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.529809