Yes. Both Missouri and Illinois have caps on what you can recover for non-economic damages. In Missouri, your medical malpractice for non-economic damages are limited to $350,000. In Illinois, the recover is limited to $500,000 against doctors and $1,000,000 against some hospitals.
Non-economic damages refer to the subjective injuries such as pain, suffering, mental anguish, etc. By contract, economic damages are things such as past and future medical bills and lost wages. There is no cap for economic damages.