Yes you will get PSU with this rank.

As per your score and previous year cutoff, the colleges you get in first round are:-

IIT Kharagpur Electronics and Electrical Communication Engineering Micro Electronics and VLSI Design

IIT Delhi VLSI Tool Design & Technology VLSI Tool Design & Technology

IIT Madras Electrical Engineering Micro Electronics and VLSI Design

IIT Hyderabad Electrical Engineering Micro Electronics & VLSI

IIT Indore Electrical Engineering VLSI Design and Nano electronics

IIT Patna Electrical Engineering VLSI and Embedded System

IIT Mandi School of Computing and Electrical Engineering VLSI

IIT ISM Dhanbad Electronics Engineering VLSI Design

To know more about your chances of getting other colleges check out the PSU/college predictor link below:

https://engineering.careers360.com/gate-college-predictor