Being TOGAF Certified, I have applied ADM model in my projects. This includes new Architecture design or revamping our existing Architecture.
ADM model guides Architect on how to flow thru different processes. It has also helped me in defining Transition Architecture while migrating from On-Premise to Cloud Infrastructure.
To view what ADM cycle is, visit following official site:
http://pubs.opengroup.org/architecture/togaf9-doc/arch/chap05.html