Hello!
Some good colleges in Chennai for B.Tech in Industrial/production are :

• COE Guindy, College of Engineering, Guindy for BE in industrial engineering
• Velammal Engineering college for BE in Production Engineering
• Bharath University for B Tech in Industrial Biotechnology
• Jawahar Engineering College for BE in Industrial Engineering

You can check official websites of these colleges for fees structure, placements and other amenities which you prefer.
Thank You