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Abstract
This paper explains mathematical framework of physical phenomenon happening in nature and social opinion dynamics. It is divided into two parts. The first part deals with design of the trajectory tracking algorithm for multiple mobile robots and in the second part rendezvous algorithm is described. Trajectory tracking algorithm is designed using leader–follower approach in which each follower robot tracks the reference trajectory generated by the leader. Rendezvous algorithm is designed by deriving consensus equation using algebraic graph theory. Condition for achieving rendezvous point is also derived. Simulation shows the effectiveness of proposed algorithm
ACKNOWLEDGEMENTS
The authors would like to thank Prof. Navdeep Singh from VJTI for continuous support and encouragement for this research article
DISCLOSURE STATEMENT
No potential conflict of interest was reported by the author(s).
Additional information
Notes on contributors
Amol Patil
Amol Patil received a BE (1998) in electronics engineering from North Maharashtra University Jalgaon and MTech (2009) in electrical engineering with specialization in control system from VJTI Mumbai. His research includes cooperative control system, machine learning and artificial intelligence.
Gautam Shah
Gautam Shah received a BE in electronics engineering from Shivaji University Kolhapur, ME in digital techniques and instrumentation from DAV, Indore and PhD in electronics and telecommunication engineering from NMIMS, Mumbai. He is life time member of IETE India. His research interests includes control system, digital system, and electronics systems. He is involved in electronics system analysis in transform domain. Email: [email protected]