The RIAPS project website has a collection of papers about the apps we have prototyped (not only microgrid)
https://riaps.isis.vanderbilt.edu/papers.html
There are many papers on microgrid controllers, here are a few I found interesting:

• J. Driesen and F. Katiraei, "Design for distributed energy resources," in IEEE Power and Energy Magazine, vol. 6, no. 3, pp. 30-40, May-June 2008. doi: 10.1109/MPE.2008.918703 
  
• F. Katiraei, R. Iravani, N. Hatziargyriou and A. Dimeas, "Microgrids management," in IEEE Power and Energy Magazine, vol. 6, no. 3, pp. 54-65, May-June 2008. doi: 10.1109/MPE.2008.918702
• https://www.mdpi.com/1996-1073/12/6/1183
• https://www.osti.gov/servlets/purl/1501818
• Wei Feng, Ming Jin, Xu Liu, Yi Bao, Chris Marnay, Cheng Yao, Jiancheng Yu: A review of microgrid development in the United States – A decade of progress on policies, demonstrations, controls, and software tools,Applied Energy, Volume 228, 2018, Pages 1656-1668, ISSN 0306-2619, https://doi.org/10.1016/j.apenergy.2018.06.096. (http://www.sciencedirect.com/science/article/pii/S0306261918309644)

Best,
-- Gabor