LQ control design of a class of hyperbolic PDE systems: Application to fixed-bed reactor

I. Aksikas, A. Fuxman, J.F. Forbes, J.J. Winkin

Research output: Contribution to journalArticlepeer-review

Abstract

A general linear controller design method for a class of hyperbolic linear partial differential equation (PDEs) systems is presented. This is achieved by using an infinite-dimensional Hilbert state-space description with infinite-dimensional (distributed) input and output. A state LQ-feedback operator is computed via the solution of a matrix Riccati differential equation in the space variable. The proposed method is applied to a fixed-bed chemical reactor control problem, where one elementary reaction takes place. An optimal controller is designed for linearized fixed-bed reactor model, it is applied to the original nonlinear model and the resulting closed-loop stability is analyzed. Numerical simulations are performed to show the performance of the designed controller.
Original languageEnglish
Pages (from-to)1542-1548
Number of pages7
JournalAutomatica
Volume45
Issue number6
DOIs
Publication statusPublished - 1 Jun 2009

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