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A method for the noninteracting control of a class of linear multivariable systems
Author(s) -
Foster Robert D.,
Stevens William F.
Publication year - 1967
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.690130225
Subject(s) - feed forward , multivariable calculus , control theory (sociology) , nonlinear system , controller (irrigation) , linear system , amplifier , set (abstract data type) , function (biology) , describing function , computer science , control engineering , mathematics , control (management) , engineering , physics , bandwidth (computing) , mathematical analysis , agronomy , computer network , quantum mechanics , artificial intelligence , evolutionary biology , biology , programming language
A method is presented by which a particular class of interacting linear multivariable systems may be decoupled into independent, first‐order subsystems containing a single output as a function of a single manipulatable input and a single measurable input. This is accomplished by application of compensators in the form of feedforward amplifiers and proportional plus derivative feedback controllers. Simultaneous application of a stabilizing feedback controller and a feedforward amplifier to each decoupled subsystem results in perfect control of system outputs y i ( t ), that is, y i ( t ) = 0 for all t ≧ 0. In addition, the compensating device contains degrees of freedom that make it possible to set output forms within any limits desired in the case that subsystem feedforward controllers operate imperfectly, and obtain better fit between the linear system model, which forms the basis for controller design, and the corresponding nonlinear system model.