Academically, you could potentially be a candidate for an exchange student with UIUC’s engineering department but I question whether you can apply since doing so requires that you be a student at a university that has an exhange program agreement with UIUC and the list I am aware of does not include any Brazilian universities, see http://engineering.illinois.edu/ipeng/incoming-exchange-students/how-to-apply.html and click on “partner schools.” You may want to check with your own iniversity to verify that because it would know if it has such an agreement, or you can contact the engieeering department at UIUC to find out.
Also, I do not know when you would like to apply but if for starting next fall, the application deadline date, April 1, has already passed.