Minnesota has agreements with neighboring states to provide lower tuition for Minnesota residents to attend public colleges and universities in those states. This is called reciprocity. Typically, non-resident admission fees and tuition are reduced (or eliminated) if you're a reciprocity student.
Minnesota has reciprocity agreements with Wisconsin, North Dakota, and South Dakota. It also has an agreement with the Canadian province of Manitoba, and a limited agreement with Iowa Lakes Community College in northwestern Iowa.
The Minnesota Office of Higher Education's "Get Ready for College" website has the reciprocity applications. Students can apply for the following Fall semester after March 1st of every year.