Have you maxed out on Concerta? Our son got to the max dosage and developed severe tics so we had to switch. Otherwise, Concerta was amazing for him.
We next went to Adderall, which sent him into severe rages as it wore off. Vyvanse has the same potential since it's in the same family of meds, so if you notice any anger as it wears off, call the doctor's office right away. It won't get better.
Our son is now on Vyvanse and doing well behaviorwise. However, it's also just started bringing out tics. Also, we had to start off on a low dosage and it did nothing for the ADHD. Once we got to the full dosage, though, it did work on controlling the symptoms.
Results vary so much by each child, you just don't know until you try. My big tip is to not brush off any initial concerns about side effects with the medication. Things don't get better over time with side effects.
Good luck!
ETA: 2014 Vyvanse ended up being a total nightmare. He started developing severe rages on it. The last day, he was punching holes in his bedroom wall and threatening to jump out his window and kill himself. I had to call 911. Vyvanse proved to be a horrendous match.