Last year, or perhaps a few years ago, we shared our tip on using the microwave to easily and quickly (4 minutes per cob) prepare corn on the cob that would turn out delicious. While it's not corn season yet, it is artichoke season. Rest assured, the microwave is not a one-trick pony. This year you can see how to use the microwave to easily and quickly (10 minutes or less) to prepare steamed artichokes that will turn out delicious, which includes even the time to prepare the artichoke. The simplest way is to prepare the artichoke, stand on end, put in microwave dish, add some water, cover with clear wrap, and steam in the microwave for 9+ minutes. A slightly more elaborate way is shown in the second link below (the first link shows how to prepare an artichoke). The third link shows how to cook corn on the cob in the husk in the microwave.
Link to Preparing an Artichoke
Link to Microwaving Artichokes
LInk to Microwaving Corn on the Cob in the Husk