If you use an enone with fluorinated substituents, you may use 19F NMR spectroscopy for monitoring the reaction in real time and determine reaction kinetics. If you use malonate with fluorinated substituent you can do a similar monitoring and determine the kinetics with respect to the malonate. With NMR you can choose the solvent and monitor the reactions at variable temperature, so you may get even values for activation parameters, etc.
Michael additiion reaction is1,4-addition to aplha, beta carbonyl compound of carbanion.Robinson annulation is of that kind of reaction.Mechanism is available in any standard book . Good book for this is Modern synthetic reactions by H.O.House.
It depends exactly what you are looking ? If you looking for catalyst role in Michael addition reactions, to IR, NMR and Mass Will be useful. Refer Chem. Commun., 2011,47, 4538-4540, it might be useful