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Feedback regularization and control of nonlinear differential‐algebraic‐equation systems
Author(s) -
Kumar Aditya,
Daoutidis Prodromos
Publication year - 1996
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.690420809
Subject(s) - control theory (sociology) , realization (probability) , nonlinear system , state space , algebraic number , mathematics , nonlinear control , control system , algebraic equation , state variable , differential equation , computer science , control (management) , engineering , mathematical analysis , statistics , physics , quantum mechanics , artificial intelligence , electrical engineering , thermodynamics
The feedback control of nonlinear high‐index differential‐algebraic‐equation systems for which the underlying algebraic constraints among the system variables involve the manipulated inputs is addressed in this work. A state‐space realization of such systems cannot be derived independently of the controller design. In view of this fact, a two‐step methodology is proposed for the control of such systems. The first step involves the derivation of a dynamic state‐feedback compensator such that in the resulting system, the underlying constraints are independent of the new inputs. In the second step, a state‐space realization of the feedback modified system is derived and used as the basis for a state‐feedback controller synthesis. Application of the developed control methodology is demonstrated on an interconnection of a two‐phase exothermic reactor and a condenser.