PSGCT Coimbatore

Yes, you are eligible.
Admission for ME in PSG College of Technology is through counselling based on the rank/ score obtained in Tamil Nadu Common Entrance Test (TANCET).
First preference will be given to candidate with valid GATE score.
Details: https://www.shiksha.com/engineering/course/m-e-in-struct

There are two ways to join as a lateral entry student in PSG College of Technology:
1. After Diploma, you can apply thro' TNEA counseling, which will be conducted at Alagappa Chettiyar University, Karaikudi. Counseling call depends on your diploma final year percentage. If you received a call for th

Of course, you can either get in through Anna University/TNEA Counseling or contact College for the Management Quota. I am another state student studying in PSG
Check out the link below for details :
https://www.shiksha.com/b-tech/course/b-tech-in-information-technology-psg-college-of-technology-coi

The admissions (nearly 60%) of seats in PSG Institute of Technology, Coimbatore is based only on single window counselling under Anna University.
So, if your category and marks are good, then you can easily get a seat.
The website for Anna University counselling is www.annauniv.edu and click TNEA 2017

Yes, PSG is one of the best colleges for robotics and automation in India. You can take admission in the same.

Eligibility
Qualification: 12th
Additional Details
Mandatory Subjects: Mathematics, Physics, Chemistry
Admission Process
Admission is through Tamil Nadu Engineering Admissions (TNEA) counseling guidelines based on marks obtained in class 12th final examination.

After your diploma, there is a counselling for lateral entry after the regular admissions. So, as same as the regular counselling for engineering first year, the same will be done for lateral entry, there you can choose PSG if you have enough average marksof 85% above.