Positive Discipline (and Adlerian psychology) describes four “mistaken goals” that children have: undue power, undue attention, revenge and assumed inadequacy. By this they mean that all children want connection and belonging, but are not good, always, at getting it. (Think of how they went about learning to walk!)
Family Meetings address all of these: they provide appropriate power, attention, a chance to input into family decisions (“Where should we stop on the way to the beach?” “What kinds of things do you want me to buy for lunches?”) and give a sense of empowerment.
Here are some more guidelines: http://blog.positivediscipline.com/2012/01/family-meetings.html
For young children, Jane Nelson recommends starting with only affirmations at first, and having them be very brief (15 mins) followed by a fun family activity.
Good luck and have fun!