For the CAPM exam, don’t worry about anything that is outside of the PMBOK guide. Anything outside of the PMBOK guide shouldn’t be tested in the CAPM exam.
Configuration means specifications. For example the configuration of a laptop can be a 15-inch HD screen, DVD drive, 8GB memory, 1TB hard drive, i7 processor etc. Configuration management means ensuring that the project delivers a product or service with the agreed/required specifications or configuration. Any change in the agreed configuration can only be incorporated once proper change control procedures have been followed. The configuration management plan and the change control plan, both are components of the project management plan.
Please let me know if this resolves your confusion.
When you referred to "Control Management" in this forum discussion post, were you talking the "Perform Integrated Change Control" process in the PMBOK Guide? This is really the only reference to any type of "Control Management" in the PMBOK Guide.
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This interview with Simona Fallavollita (LinkedIn Profile) was recorded at the magnificient Project Management Institute (PMI)® Global Conference 2017 in Chicago, Illinois. We discuss the how, what, why and when of the changes that are coming to the PMP exam.