The COVID-19 pandemic has once again drastically highlighted the trend and need towards urban anddistributed production in cities (so-called Fab Cities) and their importance for society in order toindependently meet the demand for physical goods. For small but highly individualized products, themanufacturing process is now possible in distributed and open production sites (so called FabLabs) equippedwith digital manufacturing machines. These places empower individuals, start-ups, SMEs or companies toinnovate, produce and educate. However, many open production sites are operated independently of eachother, reducing resource efficiency, capacity utilization and competitiveness. This strives against the trendof physical and digital networking, which the manufacturing industry has long since completed in order touse its capacities more efficiently. In this paper, an integrative literature review is used to hypothesize andverify that such production planning and control (PPC) for open, distributed and bottom-up controlledproduction networks has not yet been scientifically researched. As a result of the review, it appears thattoday's production can be divided into three main types. The first main type represents the closed factorywith its own PPC. The second main type represents globally connected and distributed value networks (e.g.,Industry 4.0, cloud manufacturing) that are controlled top-down. The third and largely unexplored main typeconsists of open, bottom-up controlled as well as locally distributed but globally connected open productionsites. To increase the future competitiveness and resilience of a sustainable Fab City, the authors show thatfurther research is needed on the controlling and governance of open and urban production sites which theauthors present in a research agenda.