Coordinated Standoff Tracking of Moving Targets Using Lyapunov Guidance Vector Fields

This paper presents a control structure for cooperative stand-off line-of-sight tracking of a moving target by a team of unmanned aircraft based on a Lyapunov guidance vector field that produces stable convergence to a circling limit cycle behavior. A guidance vector field is designed for a stationary target and then modified with a correction term that accounts for a moving target and constant background wind. Cooperative tracking by multiple unmanned aircraft is achieved through additional phasing, also with a Lyapunov stability analysis. Convoy protection, in which the unmanned aircraft must scout an area ahead of the moving target, is performed by extending the cooperative stand-offline-of-sight limit cycle attractor along the direction of travel. Simulation results demonstrate the behavior of the algorithms as well as the improvement that results from cooperation. Finally, simulations of a larger cooperative search, acquisition, and tracking scenario are described that illustrate the use of the cooperative standoff line-of-sight and convoy protection controllers in a realistic application.

[1]  Daniel J. Klein,et al.  Controlled collective motion for trajectory tracking , 2006, 2006 American Control Conference.

[2]  Eric W. Frew,et al.  Cooperative Stand-off Tracking of Moving Targets by a Team of Autonomous Aircraft , 2005 .

[3]  Ugur Zengin,et al.  Unmanned Aerial Vehicle Dynamic-Target Pursuit by Using Probabilistic Threat Exposure Map , 2006 .

[4]  Derek A. Paley,et al.  Stabilization of Collective Motion in a Time-Invariant Flowfield , 2009 .

[5]  Eric W. Frew,et al.  Net-Centric Communication and Control for a Heterogeneous Unmanned Aircraft System , 2009, J. Intell. Robotic Syst..

[6]  V. I. Utkin,et al.  Sliding mode control for an obstacle avoidance strategy based on an harmonic potential field , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[7]  Dale Lawrence,et al.  Lyapunov Vector Fields for UAV Flock Coordination , 2003 .

[8]  E.J. Barth A Cooperative Control Structure for UAV~s Executing a Cooperative Ground Moving Target Engagement (CGMTE) Scenario , 2006, 2006 American Control Conference.

[9]  Yiyuan Zhao,et al.  Real-Time Trajectory Planning for Autonomous Aerospace Vehicles amidst Static Obstacles , 2002 .

[10]  Eric W. Frew,et al.  Airborne Communication Networks for Small Unmanned Aircraft Systems , 2008, Proceedings of the IEEE.

[11]  Jonathan P. How,et al.  A New Nonlinear Guidance Logic for Trajectory Tracking , 2004 .

[12]  William J. Pisano,et al.  Lyapunov Vector Fields for Autonomous UAV Flight Control 1 , 2007 .

[13]  Marios M. Polycarpou,et al.  A cooperative search framework for distributed agents , 2001, Proceeding of the 2001 IEEE International Symposium on Intelligent Control (ISIC '01) (Cat. No.01CH37206).

[14]  Rolf Rysdyk,et al.  Waypoint Guidance for Small UAVs in Wind , 2005 .

[15]  Naomi Ehrich Leonard,et al.  Oscillator Models and Collective Motion: Splay State Stabilization of Self-Propelled Particles , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[16]  Derek A. Paley,et al.  Cooperative Control of Unmanned Vehicles in a Time-Varying Flowfield , 2009 .

[17]  Derek James Bennet,et al.  Verifiable control of a swarm of unmanned aerial vehicles , 2009 .

[18]  Eric W. Frew Sensitivity of Cooperative Target Geolocalization to Orbit Coordination , 2007 .

[19]  R. Rysdyk Unmanned Aerial Vehicle Path Following for Target Observation in Wind , 2006 .

[20]  Cory Dixon,et al.  Maintaining a Linked Network Chain Utilizing Decentralized Mobility Control , 2006 .

[21]  Richard M. Murray,et al.  Vehicle motion planning using stream functions , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[22]  Rolf Rysdyk,et al.  UAV Coordination for Autonomous Target Tracking , 2006 .

[23]  Kamran Mohseni,et al.  Information Energy for Sensor-Reactive UAV Flock Control , 2004 .

[24]  Danwei Wang,et al.  Standoff tracking control of moving target in unknown wind , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[25]  T.W. McLain,et al.  Vector field path following for small unmanned air vehicles , 2006, 2006 American Control Conference.

[26]  Juris Vagners,et al.  Autonomous Orbit Coordination for Two Unmanned Aerial Vehicles , 2005 .

[27]  E. W. Justh,et al.  Steering laws and continuum models for planar formations , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[28]  Naomi Ehrich Leonard,et al.  Collective motion and oscillator synchronization , 2005 .

[29]  Tyler H. Summers,et al.  Coordinated Standoff Tracking of Moving Targets: Control Laws and Information Architectures , 2008 .

[30]  Stephen C. Spry,et al.  A VEHICLE FOLLOWING METHODOLOGY FOR UAV FORMATIONS , 2004 .

[31]  Daniel E. Koditschek,et al.  Exact robot navigation using artificial potential functions , 1992, IEEE Trans. Robotics Autom..

[32]  H. Van Dyke Parunak,et al.  DIGITAL PHEROMONES FOR AUTONOMOUS COORDINATION OF SWARMING UAV'S , 2002 .

[33]  Eric W. Frew,et al.  Lyapunov Vector Fields for Autonomous Unmanned Aircraft Flight Control , 2008 .

[34]  Timothy W. McLain,et al.  Vector Field Path Following for Miniature Air Vehicles , 2007, IEEE Transactions on Robotics.

[35]  E. Campbell,et al.  Establishing Trajectories for Multi-Vehicle Reconnaissance , 2004 .

[36]  Naomi Ehrich Leonard,et al.  Virtual leaders, artificial potentials and coordinated control of groups , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).