Feedback Regularization and Control of Nonlinear Differential-Algebraic-Equation Systems

Aditya Kumar, Prodromos Daoutidis

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)2175-2198
Number of pages24
JournalAIChE Journal
Issue number8
StatePublished - 1996


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