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Feedback control of nonlinear differential‐algebraic‐equation systems
Author(s) -
Kumar Aditya,
Daoutidis Prodromos
Publication year - 1995
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.690410319
Subject(s) - control theory (sociology) , nonlinear system , multivariable calculus , robustness (evolution) , algebraic number , realization (probability) , mathematics , state space , nonlinear control , algebraic equation , differential equation , basis (linear algebra) , differential (mechanical device) , state (computer science) , computer science , control (management) , control engineering , algorithm , mathematical analysis , engineering , geometry , gene , biochemistry , chemistry , physics , statistics , quantum mechanics , artificial intelligence , aerospace engineering
The output feedback control problem is addressed for a class of nonlinear multivariable high‐index differential‐algebraic‐equation systems in semiexplicit form. Initially, an algorithmic procedure is developed and used to derive an equivalent state‐space relization of the constrained system. An output feedback synthesis problem is then formulated on the basis of the derived state‐space realization and solved through the combination of state feedback and appropriate state observers. The developed methodology is applied to a two‐phase reactor, and its performance and robustness characteristics are evaluated through simulations.