Order reduction of non-linear differential-algebraic process models
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Abstract A method for order reduction of non-linear differential-algebraic models arbitrary index is presented. The approach is a direct generalization of a method suggested by Pallaske in 1987 for the reduction of explicit differential equation models. It relies on an optimal orthogonal projection of the solution trajectories into a subspace of the original state space. A rigorous development of the reduction technique is given. Strong emphasis is on implementational issues such as the choice of tuning parameters for a particular problem. A theoretical and numerical evaluation of the method is provided. The case studies discussed include the reduction of a strongly non-linear catalytic fixed bed reactor model.
[1] C. V. Rijn. Dynamics and control of chemical reactors and distillation columns : Edited by C. McGreavy. Pergamon Press, Oxford, IFAC proceedings series no. 4, 1988, 330 pp., £55.00 , 1989 .
[2] Manfred Morari,et al. Simulation of fractionation by orthogonal collocation , 1985 .
[3] F. Lewis. A survey of linear singular systems , 1986 .
[4] D. Cobb. On the solutions of linear differential equations with singular coefficients , 1982 .