Referent: Jun.-Prof. Dr. Karl Worthmann, TU Ilmenau
Differential Algebraic Equations (DAEs) combine Ordinary Differential Equations (ODEs) with algebraic constraints. Hence, even for linear systems both the initial condition and the control input cannot be arbitrarily chosen. We present a framework for linear regular systems, which allows to characterise the space of consistent initial conditions and the set of admissible controls from an ODE point of view. Then, based on an augmented system, we design a Model Predictive Control (MPC) scheme such that asymptotic stability of the origin w.r.t. the MPC closed loop is guaranteed.