3D coordinated path following with disturbance rejection for formations of under-actuated agents

In this paper coordinated path following for formations of under-actuated agents in three dimensional space is considered. The agents are controlled to follow a straight-line path whilst being affected by an unknown environmental disturbance. The problem is solved using a twofold approach. In particular, the agents are controlled to the desired path using a guidance law that rejects an unknown, but constant, disturbance. Simultaneously each agent utilises a decentralised nonlinear coordination law to achieve the desired formation. The closed-loop system of path-following and coordination dynamics is analysed using theory for feedback-interconnected systems. In particular, a technique from [1] is used that allows us to analyse a feedback-interconnected systems as a cascaded system. The origin of the closed-loop error dynamics is shown to be globally asymptotically stable. A case study with simulation results is presented to validate the control strategy.

[1]  Randal W. Beard,et al.  A coordination architecture for spacecraft formation control , 2001, IEEE Trans. Control. Syst. Technol..

[2]  I. Kaminer,et al.  Path Generation, Path Following and Coordinated Control for TimeCritical Missions of Multiple UAVs , 2006, 2006 American Control Conference.

[3]  Kristin Ytterstad Pettersen,et al.  Path following of underactuated autonomous underwater vehicles in the presence of ocean currents , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[4]  Carlos Silvestre,et al.  Coordinated Path-Following in the Presence of Communication Losses and Time Delays , 2009, SIAM J. Control. Optim..

[5]  Kristin Ytterstad Pettersen,et al.  Path following with disturbance rejection for inhomogeneous formations with underactuated agents , 2015, 2015 European Control Conference (ECC).

[6]  Magnus Egerstedt,et al.  Graph Theoretic Methods in Multiagent Networks , 2010, Princeton Series in Applied Mathematics.

[7]  Kristin Ytterstad Pettersen,et al.  Integral LOS control for path following of underactuated marine surface vessels in the presence of constant ocean currents , 2008, 2008 47th IEEE Conference on Decision and Control.

[8]  H. Nijmeijer,et al.  Group coordination and cooperative control , 2006 .

[9]  F. Knorn.  Topics in Cooperative Control , 2011 .

[10]  Antonio M. Pascoal,et al.  Nonlinear path following with applications to the control of autonomous underwater vehicles , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[11]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[12]  K. D. Do,et al.  Nonlinear formation control of unicycle-type mobile robots , 2007, Robotics Auton. Syst..

[13]  Kristin Ytterstad Pettersen,et al.  Straight line path following for formations of underactuated underwater vehicles , 2007, 2007 46th IEEE Conference on Decision and Control.

[14]  Antonio Loría,et al.  Robust formation tracking control of mobile robots via one-to-one time-varying communication , 2014, Int. J. Control.

[15]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[16]  Thor I. Fossen,et al.  Handbook of Marine Craft Hydrodynamics and Motion Control , 2011 .

[17]  Kristin Ytterstad Pettersen,et al.  Straight Line Path Following for Formations of Underactuated Marine Surface Vessels , 2011, IEEE Transactions on Control Systems Technology.

[18]  Antonio Loría.  From feedback to cascade-interconnected systems: Breaking the loop , 2008, 2008 47th IEEE Conference on Decision and Control.

[19]  Rodney Teo,et al.  Decentralized overlapping control of a formation of unmanned aerial vehicles , 2004, Autom..

[20]  João Borges de Sousa,et al.  Modeling and Simulation of the LAUV Autonomous Underwater Vehicle , 2007 .

[21]  John T. Wen,et al.  Cooperative Control Design - A Systematic, Passivity-Based Approach , 2011, Communications and control engineering.

[22]  Asgeir J. Sørensen,et al.  Integral Line-of-Sight Guidance and Control of Underactuated Marine Vehicles: Theory, Simulations, and Experiments , 2016, IEEE Transactions on Control Systems Technology.

[23]  Kristin Ytterstad Pettersen,et al.  Path following for formations of underactuated marine vessels under influence of constant ocean currents , 2014, 53rd IEEE Conference on Decision and Control.

[24]  Thor I. Fossen,et al.  Handbook of Marine Craft Hydrodynamics and Motion Control: Fossen/Handbook of Marine Craft Hydrodynamics and Motion Control , 2011 .