Hybrid Controllers for Hierarchically Decomposed Systems

We consider hybrid systems consisting of a lower-level component with time-driven dynamics interacting with a higher-level component with event-driven dynamics. These typically arise in manufacturing environments where the lower-level component represents physical processes and the higher-level component represents events related to these physical processes. We formulate an optimization problem which aims at jointly optimizing the performance of both hierarchical components and present a hybrid controller for accomplishing this task. A numerical example is given to illustrate the operation of the hybrid controller.