ABSTRACT
This chapter addresses the feedback control of nonregular differential algebraic equation (DAE) systems, for which the underlying algebraic constraints in the differential variables explicitly involve the manipulated inputs, and thus, the constrained state space is control-dependent. For nonregular systems, the derivation of state-space realizations is coupled to the controller design. A feedback regularizing compensator was then designed for this equivalent DAE system. Finally, a state-space realization of the feedback regularized system was derived and used as the basis for the synthesis of a dynamic state feedback controller that induces a well-characterized, linear input/output behavior in the closed-loop system. Beginning with background material about DAE systems and their differences from ordinary differential equation systems, the chapter discusses generic classes of chemical processes, feedback control of regular and non-regular DAE systems, control of systems with disturbance inputs, the connection of the DAE systems considered with singularly perturbed systems.
