ABSTRACT
A natural approach to address the feedback control of nonlinear differential algebraic equation (DAE) systems is to derive an explicit representation of the underlying ordinary differential equation (ODE) system, and use it as the basis for the controller design. This allows utilizing the extensive machinery available for the control of the nonlinear ODE systems, while systematically accounting for the differences between DAE and ODE systems. This chapter addresses the local stabilization and output tracking through state feedback for high-index DAE systems that are regular. It presents an algorithm that allows a precise characterization of the class of DAE systems that are regular and yields a state-space realization of such systems. The derived state-space realization is then used as the basis for the synthesis of a feedback controller that induces a well-characterized input/output response with stability in the closed-loop system.
