It all depends on what you are interested in and what qualifications you gained at school/college. The three main areas you could look at are Software, Mechanical and Electronic engineering. All these are important for Robotics. Out of the three, Software engineering (Computer Programming) would be the one which would give you the best opportunity in the future to actually work with Robots. Which ever of the course you choose, try and select modules which have the most application to robotics but at the same type try and diversify the module choice so you get a good understanding of lots of different areas.
I have been asked this question many times and it still seems there are few undergraduate Robotics courses taught in India. Don't worry though, as there are plenty of engineering courses available, which can serve as a basis to understanding the fundamentals of Robotics. If I were you, I would think 'What is it about Robotics that interests me?' You may think of things like: 'I am facinated with how robots are built' or 'I like how Robots move around un-aided' or you maybe more interested in Swarms of Robots or the Phycology of humans working with Robots. Whatever your interest, you will find that one of the following undergraduate courses would allow you to explore your interest in Robotics, while also gainin skills in a good Scientifi subject.
As for more specific information on Course in India. The following links, for the NPTEL (National Programme on Technology Enhanced Learning) website, describe a number of Robotics related courses:
Institutes can offer programmes in robotics engineering through their departments - Mechanical, Electrical, Computer Science, etc. Robotics engineering can also be studied at IITs Mumbai, Madras, Delhi, Kanpur, Kharagpur and Indian Institute of Science, Bangalore.
The Centre for Robotics and Mechatronics at IIT Kanpur offers a Master's Programme in Robotics Engineering.
Jadavpur University, Kolkata - 700 032 (West Bengal) (www.jadavpur.edu) , offers ME Robotics. The University of Hyderabad offers M.Tech. Artificial Intelligence and Robotics.
The University College of Engineering, under the Osmania University, Hyderabad, offers ME/M.Tech Automaton and Robotics.
MS University, Baroda, conducts a Master's programme with specialisation in automatic control and robotics.
The Institute of Technology, under the Banaras Hindu University, conducts M.Tech. Production Engineering / Industrial Management Engineering with Robotics and Automation as electives.
The Thapar Institute of Engineering and Technology, Patiala - 147 004, (www.tiet.ac.in) conducts ME in CAD / CAM and Robotics.
The Birla Institute of Technology and Science (BITS), Pilani - 333 031, offers ME in Computer Science with robotics as a subject.
Sri Sathya Sai Institute of Higher Learning, Prasanthinilayam, offers M.Tech. Computer Science with specialisation in artificial intelligence. Artificial Intelligence is defined as the ability of an artificial mechanism to exhibit intelligent behaviour. It is closely associated with robotics.
The PSG College of Technology, Coimbatore, conducts M.Tech. Mechanical with robotics as an elective subject.
The SRM Institute of Science and Technology (Deemed University), SRM Nagar, Kattankulathur, Kancheepuram District - 603 203, Tamil Nadu (www.srmuniv.ac.in) , offers M.Tech - Robotics.
The Department of Electronics under the Cochin University of Science And Technology offers M.Sc. Electronic Science with specialisation in artificial intelligence, robotics, microwave electronics and computer technology. First class B.Sc. degree holders with not less than 60 per cent aggregate marks in Electronics, Computer Science or Physics (with electronics) are eligible for admission. Selection is based on CUSAT - CAT.
Other options
Some other suitable higher-study options for the meritorious engineering graduates in electronics and communication are ME / M.Tech. in Embedded Systems Technology, VLSI Design, Communication Systems, Digital Systems and Communication Engineering and these branches help in ensuring very good job opportunities in electronic industry and software engineering fields.
The DOEACC Centre, Calicut (www.cedtic.com) , conducts M.Tech. in Embedded Systems. BE/B.Tech holders in Electronics/Electrical/ Instrumentation with valid GATE score are eligible for admission. This centre also conducts PG Diploma in Embedded System Design ED 500. Graduates in electronics and communication engineering are also eligible for admission.
The National Institute of Technology (NIT) Calicut (Deemed University), NIT Campus P.O, Calicut - 673 601 (www.nitc.ac.in) , offers M.Tech. Electronics Engineering with specialisation in digital systems communication engineering, electronics design and technology, microelectronics and VLSI design. Selection is based on GATE score in the relevant branch.
The School of Electronics under the Devi Ahilya Viswavidyalaya Indore (www.dauniv.ac.in) offers M.Tech. in Embedded Systems. GATE qualified candidates in electronics and communication engineering/ computer science engineering with BE/B.Tech./M.Sc. in Electronics/ Electronics and Communication/ Computer Science / IT / MCA with 55 per cent marks in aggregate are eligible for admission.
Madan Mohan Malaviya Engineering College, Gorakhpur - 273 010 (UP), conducts an M.Tech. programme in Digital Systems. B.Tech./ BE holders in Electronics and Communication Engineering / equivalent are eligible for admission. (www.mmmec.net) .
Aarupadi Veedu Institute of Technology (AVIT), Palyanoor, Chennai, under the Vinayaka Mission's Research Foundation (Deemed University), offers an ME course in VLSI Design and ME in Embedded System Technology for meritorious graduates in Electronics and Communication Engineering. Website: www.avit.ac.in.
Noorul Islam College of Engineering, Kumaracoil, Thuckalay - 629 175, affiliated to Anna University (www.niceindia.com) , offers ME Communication Systems for BE/B.Tech. holders of Electronics and Communication Engineering.
National Institute of Industrial Engineering ( NITIE), Mumbai - 400 087 (www.nitie.edu) , conducts a Postgraduate Diploma in Industrial Engineering (PGDIE). This two-year programme trains industrial Engineers as Technology management experts for both manufacturing and service sectors. PSG College of Technology, Peelamedu, Coimbatore - 641 004, (www.psgtech.edu) , conducts ME/M.Tech. programmes in Communication Systems; VLSI Design.
SRM Institute of Science and technology (Deemed University), SRM Nagar, Kattankulathur, Kancheepuram District - 603 203 (www.srmuniv.ac.in) , conducts M.Tech. Embedded Systems Technology, VLSI Design, Communication Systems, which are suitable higher-study options for graduates in electronics and communications.
International Institute of Information Technology (Deemed University), Hyderabad- 500 032 (AP) (www.iiit.ac.in) , offers M.Tech. in VLSI and Embedded Systems as well as other higher-study options in the same discipline.
MS Ramaiah School of Advanced Studies, MSR Nagar, Bangalore - 560 054 (www.msrsas.org) , conducts a six-month advance training programmes in mobile and wireless communication, digital signal and image processing, embedded system design, automotive electronics, M-CAD, software engineering, VLSI system design, etc. for fresh engineering graduates.
The best advice I can give, is to find make a list of the Universities you wish to study in and then send an e-mail to each asking for more information about the Robotics courses they run. You should then receive information packs informing you about the course and the entry requirements :)