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Feedforward/feedback control of multivariable nonlinear processes
Author(s) -
Daoutidis Prodromos,
Soroush Masoud,
Kravaris Costas
Publication year - 1990
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690361003
Subject(s) - control theory (sociology) , feed forward , multivariable calculus , mimo , nonlinear system , context (archaeology) , stability (learning theory) , controller (irrigation) , nonlinear control , computer science , mathematics , control engineering , control (management) , engineering , physics , channel (broadcasting) , computer network , paleontology , agronomy , quantum mechanics , artificial intelligence , machine learning , biology
This paper concerns general MIMO nonlinear processes, whose dynamic behavior is described by a standard state‐space model of arbitrary order, including measurable disturbances. The concept of relative order of an output with respect to an input, extended to include disturbance as well as manipulated inputs, is generalized in a MIMO context and it is used to obtain a characterization of the dynamic interactions among the input and the output variables. A synthesis formula is calculated for a feedforward/state feedback control law that completely eliminates the effect of the measurable disturbances on the process outputs and induces a linear behavior in the closed‐loop system between the outputs and a set of reference inputs. The input/output stability and the degree of coupling in the closed‐loop system are determined by appropriate choice of adjustable parameters. A MIMO linear controller with integral action completes the feedforward/feedback control structure. The developed control methodology is applied to a continuous polymerization reactor and its performance is evaluated through simulations.