Regularization and control of nonlinear differential-algebraic process systems

This paper addresses the control of nonlinear, high-index differential-algebraic-equation systems with measurable disturbances, for which the underlying algebraic constraints involve the manipulated inputs and the disturbances. A state-space realization of such systems can not be derived independently of the controller design. In view of this fact, the DAE system is modified by a feedforward/dynamic state feedback regularizing compensator such that the underlying algebraic constraints in the resulting modified system are independent of the new inputs and the disturbances. For this modified system, a state-space realization is derived that can be used for controller synthesis.