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Design and experimental evaluation of controllers for process undisturbability
Author(s) -
Shah S. L.,
Fisher D. G.,
Seborg D. E.
Publication year - 1981
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.690270119
Subject(s) - eigenvalues and eigenvectors , control theory (sociology) , feed forward , state space , matrix (chemical analysis) , invariant (physics) , state (computer science) , process (computing) , mathematics , state space representation , computer science , control (management) , control engineering , algorithm , engineering , statistics , physics , materials science , quantum mechanics , artificial intelligence , composite material , mathematical physics , operating system
Selected state and/or output variables can be made undisturbable, i.e., invariant, to arbitrary, unmeasured changes in specific input variables by properly designed feedback and feedforward controllers. Simulation and experimental applications to a computer‐controlled, pilot plant evaporator gave results superior to conventional controllers. Necessary and sufficient conditions for undisturbability are expressed in terms of the structure of the coefficient matrices of the state space model and equivalently of the corresponding eigenvector matrix. The design procedure normally includes arbitrary specification of all closed‐loop eigenvalues and up to r elements of each eigenvector, where r is the number of control (manipulated) variables.