Stabilization of an unstable tubular reactor by nonlinear passive output feedback control |
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| Affiliation: | 1. Departamento de Química, Universidad Autónoma de Guadalajara, 1201 Av. Patria, 44100 Guadalajara, Mexico;2. Departamento de Ingeniería Química, Universidad de Guadalajara, 1421 Blvd. Marcelino Garcia Barragán, 44430 Guadalajara, Mexico;3. ICTEAM, UCL, 4 Avenue Georges Lemaître, 1348 Louvain-la-Neuve, Belgium;1. Grupo de Ingeniería de Sistemas de Procesos (GISP), Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas (CIFASIS, CONICET – UNR), 27 de Febrero 210 bis (S2000EZP), Rosario, Argentina;2. Departamento Control, EIE, FCEIA, Universidad Nacional de Rosario, Pellegrini 250 (S2000BTP), Rosario, Argentina;3. Universidad Tecnológica Nacional – FRRo, Zeballos 1341 (S2000BQA), Rosario, Argentina;1. Universidad Autónoma Metropolitana-Iztapalapa, Departmento de Ingeniería de Procesos, 09340, México, D.F., Mexico;2. Università degli Studi di Cagliari, Dipartimento di Ingegneria Meccanica, Chimica e Materiali, Cagliari, I-9123, Italy;3. Chair of Automatic Control, Kiel University, 24143, Kiel, Germany;1. KU Leuven, Department of Chemical Engineering, Celestijnenlaan 200F, B-3001 Heverlee, Belgium;2. KU Leuven Lab4U, Faculty of Industrial Engineering, Agoralaan Building B, B-3590 Diepenbeek, Belgium |
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| Abstract: | The multiple–input multiple–output (MIMO) output feedback (OF) control problem of an exothermic multi-jacket tubular open-loop unstable reactor is addressed. Over its axial length, the reactor has several equally sized cooling jackets. The controller must adjust the jacket temperatures on the basis of per jacket temperature measurements so that the closed-loop system is robustly stable. The problem is solved within a constructive framework, by combining notions and tools from chemical reactor engineering and partial differential equations (PDEs) control systems theory. The result is a MIMO nonlinear OF dynamic control design with (i) a decentralized MIMO passive state feedback (SF) controller implemented with a pointwise observer (PWO), (ii) closed-loop stability conditions in terms of sensor set and control gains, and (iii) efficient late lumping-based on-line implementation. The design is put in perspective with industrial PI and inventory control, and applied to a representative example through numerical simulation with favorable comparison against adaptive controllers. |
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| Keywords: | Tubular reactors Process control systems Passivity-based control Sensor location Output feedback control |
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