If your tablet kickstand cover has a little tab on the back, you can easily stick a piece of Velcro, also known as hook and loop tape to secure it, and prevent it from collapsing every time you move the device.
You can buy hook and loop tape from any DIY store or places like eBay fairly cheap. Always make sure you buy both the hook and loop side, unless the two pieces will not stick together.
You may need to replace the hook and loop tape every six months or so, as it will slowly wear out over time.