FEEDBACK REGULARIZATION AND CONTROL OF NONLINEAR DIFFERENTIAL-ALGEBRAIC-EQUATION SYSTEMS

The feedback control of nonlinear high-index differential-algebraic-eq uation systems for which the underlying algebraic constraints among th e system variables involve the manipulated inputs is addressed in this work. A state-space realization of such systems cannot be derived ind ependently of the controller design. In view of this fact, a two-step methodology is proposed for the control of such systems. The first ste p involves the derivation of a dynamic state-feedback compensator such that in the resulting system, the underlying constraints are independ ent of the new inputs. rn the second step, a state-space realization o f the feedback modified system is derived and used as the basis for a state-feedback controller synthesis. Application of the developed cont rol methodology is demonstrated on an interconnection of a two-phase e xothermic reactor and a condenser.