My girlfriend has had her Tab 2 for ten months and only recently it has this problem. She will be using the tablet on the internet and the connection will suddenly drop. The signal is strong and the tablet detects the signal. It will try to connect for 10 or 15 minutes until it says it can't verify the ip address or something like that. Turning off and on the tablet doesn't work, neither does forgetting the network and reentering the name and password. Turning the router off for ten seconds and restarting it does work. Laptops and playstation do not have issues with the wifi. Restarting the router is a solution except this occurs daily. I am wondering if the source of the problem is low internal memory. There are a ton of images because she takes a lot of screenshots.
I have had similar problems with mine - and I heard that it is a design fault in this particular model. It is incredibly inconvenient. I am returning mine to the supplier, as mine constantly drops the wifi signal, which is just no good at all. I will be claiming a replacement or full repair in terms of the Sales of Goods Act 1979 which states that the goods must be fit for purpose (which mine is not) and free from minor defects (which mine is not). This is in terms of Trading Standards Duty of Care legislation. Hope that helps.
Before you lose hope, consider the ability to patch design flaws through flashing and also there is a very nifty tool called : System Tuner Pro, which will give a rooted device's user, the ability to take control of the processors as well as completely modify the build prop.
You may also look into testing your router, it very well could be failing. Also, try turning airplane mode on and then back off again. Often times this will help to flush out bottlenecks and allow a sort of clean slate for the connection.
I hope this helps.