Design of Control Strategy for Swarm Autonomous Vessels for Circling Mission in Calm Water

Authors

1 Associated Professor, Center of Excellence in Hydrodynamics and Dynamics of Marine Vehicles, School of Mechanical Engineering, Sharif University of Technology

2 Master student, School of Mechanical Engineering, Sharif University of Technology

Abstract

Control of a group of autonomous surface vessels, called agents, with realistic dynamic for circling mission is addressed with the aid of Lyaponov and graph theory. In this brief, to obtain a cooperative controller in between agents, new coordination transfer are presented and graph theory is used to illustrate communication between the agents. With the aid of Lyaponov theory and graph theory application, decentralized and scalable controllers are designed for group of autonomous vessels to converge to a desired geometry for circling around a specific target point. Due to the realistic agent dynamics, non-holonmic dynamics and turning constrains of the vessels are considered in the design process. Advantage of the proposed controller is: it uses domestic information between agents and the controller is designed based on these information. The agents herein represent a large class of autonomous vessels with realistic limitation on vessel motion. Besides, in previous works inertia and damping matrix of the agents were assumed to be diagonal and constant, in this research work non-diagonal inertia matrix and variable damping matrix are under consideration. MATLAB and Simulink are used to represent the effectiveness of the proposed controllers. As the simulation results show, designed controllers perform well on the system and the objective duty is achieved appropriately.

Keywords


Naomi, E.L., Edward, F., (2001), Virtual Leaders, Artificial Potentials and Coordinated Control of Groups, Proceeding of the 40th IEEE Conference on Decision and Control, Orlando, Florida USA, Vol.3, p.2968-2973. [1] Filippo, A., Stefano, C., Thor, I.F., (2006), Formation Control of Under actuated Surface Vessels using the Null-Space-Based Behavioral Control, Proceeding of the IEEE/RSJ, International Conference on Intelligent Robotic and System, Beijing, China, p.5942-5947. [2] Travis, D., Jagannathan, S.,(2007), Control of Nonholonomic Mobile Robot Formations: Back stepping Kinematics into Dynamics, 16th IEEE International Conference on Control Applications, Singapore, p.94-99. [3] Hashem, A., Kenneth, R.M.,Lucas, C.M., reza, A.S., Sliding-Mode Tracking Control of Surface Vessels,(2008), IEEE Transactions on industrial Electronics, Vol.55, p.4004-4012. [4] Jevtic, A., Gazi, P., Andina, D.,Jamshidi, M.,(2010).,Building a swarm of robotic bees, World Automation Congress(WAC), p.1-6. [5] Fidan, B., Gazi, V., Shaohao, Z., Na, C., Karatas, E.,(2013)., Single view Distance estimation Based Formation Control of Robotic Swarms, industrial electronics, IEEE., Vol.60, P.5781-5791. [6] Gazi, V., (2014)., Distributed output agreement in class of uncertain linear heterogeneous multi agent dynamic systems, European Control Conference(ECC), p.177-183. [7] Dong, W.,(2010)., cooperative Control of under actuated surface vessels,IET Control Theory And Applications, Vol.4., p.1569-1580. [8] Bradley, E.B., (2012)., Formation Control of Under Actuated Autonomous Surface vessels using Redundant manipulator Analogs, IEEE International Conference on robotic and Automation(ICRA)., p.4892-4897. [9] Ihle, I.A., Jouffroy, J., Fossen, T.I.,(2006)., Robust Formation Control of marine craft using lagrange multipliers, Springer-Verlag. [10] kristin, Y.P., Jan,T.G., Henk, N.,(2006)., Group Coordination and Cooperative Control, Springer-Verlag [11] Veysel, G., Kevin, M.P., (2011)., Swarm Stability and optimization, Springer-Verlag. [12] Chung, F.R.K.,(1997)., Spectral graph theory, Regional Conf.Series in Mathematics of Amer, Mathematical Soc, Vol.92. [13] Merris, R.,(1998)., Laplacian Graph eigenvectors, Linear algebra Appl., p.221-236. [14] Dong, W., Farrell, J.A.,(2008), formation control of multiple underactuated surface vessels,IET Control Theory and Applications, Vol.2, p.1077-1085. [15] Lucas, C.M., Hashem,A., (2011), Predictive and Sliding mode Cascade Control for Unmanned Surface Vessels, American Control Conference(ACC), p.184-189. [16]