CRC/TRR 154/3: Mixed integer-continuous dynamical systems with partial differential equations (SP A03)

The project develops control theoretical methods for dynamical systems coupling partial differential equations and logic-based integer-valued components. In particular, it studies model-predictive control strategies and optimization-based variants thereof for such hybrid systems. In the third phase, a new focus is on distributed control schemes. The challenges concern well-posedness, closed-loop performance properties and algorithms for numerical realizations of such controllers. These will be met by studying variational equilibria in dynamic mixed-integer programming. The newly developed methods will be applied to decentralized control of hydrogen and natural gas pipeline systems being interconnected by mixing.