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

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.