CHEN 4601 Lecture Notes - Lecture 50: Mimd, Ney, Plug Flow Reactor Model

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Review and further topics: modeling u1 u2 y1 y2. -> find steady state (could have multiple) (xs, us) If the process behavior is adequately captured by g(s), then we could calculate analytically the closed- loop behavior. Iii) technical extensions: it is possible to carry out the controller design entirely in the time domain (w/o introducing laplace transforms) -> useful especially for mimo problems: accounting directly for nonlinearities --> control w/o linearization of the process model ex: liquid level or. -> this approach can be generalized to arbitrary nonlinear models --> nonlinear control: distributed parameter systems e. g. what if we have plug flow reactor before, we always had lumped parameters now, steady state = spacial profile. Chen4601_processcontrol page 3 temperature hot spot bad b/c can destroy catalyst, etc. now, we have to have system of pdes, not odes. -> more complex as we move down this list. Level ii: economics-based scheduling --> optimal production schedules for optimal resource allocation.

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