A cohesive and well-spaced swarm with application to unmanned aerial vehicles

In swarm robotics, the self-organization of multiagent systems which consists of a number of comparatively simple agents is an approach inspired from natural swarms. In this paper, we solve the findpath problem of n ε N agents using the principle of swarming. A Lagrangian swarm model which could navigate in a cluttered configuration space is developed. A Lyapunov like function is constructed from which the velocity controllers are derived. The Lyapunov-like function contains attractive and repulsive components. The swarm model is simulated for verification of its functionality and intuitive insight into the system behavior suggest that the solutions are bounded about the centroid. We show that indeed the solutions are bounded about the centroid by showing the wellspacedness and cohesivenss of the swarm. The velocity controllers are then applied to swarm of unmanned aerial vehicles.

[1]  Bruce T Clough,et al.  Metrics, Schmetrics! How The Heck Do You Determine A UAV's Autonomy Anyway , 2002 .

[2]  Nancy Forbes,et al.  Imitation of Life: How Biology Is Inspiring Computing , 2004 .

[3]  Sanjeev Sharma,et al.  Robot Path Planning using Swarm Intelligence: A Survey , 2013 .

[4]  K.M. Passino,et al.  Stability analysis of social foraging swarms , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[5]  Bibhya N. Sharma,et al.  A Lagrangian-based Swarming Behavior in the Absence of Obstacles , 2010 .

[6]  Bibhya N. Sharma,et al.  A Cohesive Lagrangian Swarm and Its Application to Multiple Unicycle-like Vehicles , 2012 .

[7]  Oussama Khatib,et al.  Real-Time Obstacle Avoidance for Manipulators and Mobile Robots , 1986 .

[8]  Jito Vanualailai,et al.  Lyapunov-Based Control for a Swarm of Planar Nonholonomic Vehicles , 2015, Math. Comput. Sci..

[9]  Oussama Khatib,et al.  Real-Time Obstacle Avoidance for Manipulators and Mobile Robots , 1985, Autonomous Robot Vehicles.

[10]  A. Mogilner,et al.  Mathematical Biology Mutual Interactions, Potentials, and Individual Distance in a Social Aggregation , 2003 .

[11]  Mark Willis Bailey Unmanned Aerial Vehicle Path Planning and Image Processing for Orthoimagery and Digital Surface Model Generation , 2012 .

[12]  Syed Ali Raza,et al.  Intelligent Flight Control of an Autonomous Quadrotor , 2010 .

[13]  吉沢 太郎 Stability theory by Liapunov's second method , 1966 .

[14]  Bibhya N. Sharma,et al.  Tunnel passing maneuvers of prescribed formations , 2014 .

[15]  Heba talla Mohamed Nabil Elkholy Dynamic modeling and control of a Quadrotor using linear and nonlinear approaches , 2014 .

[16]  K. Passino,et al.  A class of attractions/repulsion functions for stable swarm aggregations , 2004 .

[17]  Jito Vanualailai,et al.  A swarm model for planar formations of multiple autonomous unmanned aerial vehicles , 2013, 2013 IEEE International Symposium on Intelligent Control (ISIC).