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Model reduction of high-order multistage systems by the method of orthogonal collocation
Authors:Kin Tuck Wong  Rein Luus
Abstract:A straightforward model reduction procedure is developed for high-order multistage systems. It is proposed to generate a partial differential equation from the original system and then to use the orthogonal collocation procedure to establish a low-order reduced model. This low-order model can then be used for time-optimal control with the assurance that the optimal control, as determined for the reduced system, can be applied to the original system. The procedure is illustrated with a 20-plate gas absorber which is eventually reduced to 5 state equations.
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