Yeah, Chicago State University does provide scholarships based on merit. Here are some of them:

Foundation Scholarships

Presidential Scholars Program
Minimum Criteria: GPA 3.35, ACT 20
Separate application needed: Yes

Chicago State University provides aids at an average of 11606 per student meeting 40% of students need. 100% of students with need receive financial aid at an average of 5931 need-based grant. They also provide other scholarships including Illinois Retired Teachers Association Foundation Scholarships and U.S. Bank Internet Scholarship Program.