Yes, the activated sludge described in your book is the same for membrane bioreactors. The major differences are teh MLSS concentration for an MBR is about 8,000 to 18,000 mg/L where conventional activated sludge is 1,000 to 4,000 mg/L. This is why MBR's treat larger flows with smaller tanks. The higher MLSS concentration also affects aeration requirements and efficiency.
There is an excellent book on MBR's called "The MBR Book" by Simon Judd (2006) ISBN 1-85617-481-6. It describes the design for MBR's and gives details about different filtration units that are currently offered in the market.
If you have any more specific questions, let me know.