Online Control Strategies for Highly Coupled Cooperative UAVs

The underlying problem is how to cooperatively use unmanned aerial vehicles (UAVs) to generate a coherent phantom track for a radar network to make it track a vehicle that does not exist. The UAVs need to plan a phantom track that is feasible given challenging nonlinear constraints on speed and heading, and optimal in terms of their aggregate costs and some global costs on the phantom. Models are formulated for the UAVs, wind, and the phantom. We develop practical methods for guiding the phantom and UAVs by first using optimal control and then either 1) adding smooth penalty functions to the cost, or 2) using control parametrization. The first method is compared through simulations with the second, which deals with state constraints more efficiently. The results are useful as a benchmark and for comparing more heuristic cooperative control algorithms. Because of its performance and fast solution times, the second method may also be used online.

[1]  Michael R. Frater,et al.  Electronic Warfare for the Digitized Battlefield , 2001 .

[2]  Phillip R. Chandler,et al.  Feasible Flight Paths for Cooperative Generation of a Phantom Radar Track , 2004 .

[3]  Kok Lay Teo,et al.  A Unified Computational Approach to Optimal Control Problems , 1991 .

[4]  Victor M. Becerra,et al.  Optimal control , 2008, Scholarpedia.

[5]  George W. Stimson,et al.  Introduction to Airborne Radar , 1983 .

[6]  Sergei A. Vakin,et al.  Fundamentals of Electronic Warfare , 2000 .

[7]  Karl Johan Åström,et al.  Estimation and Optimal Configurations for Localization Using Cooperative UAVs , 2008, IEEE Transactions on Control Systems Technology.

[8]  Jan C. Willems,et al.  300 years of optimal control: From the brachystochrone to the maximum principle , 1997 .

[9]  Jon Rigelsford,et al.  Introduction to Airborne Radar, 2nd ed. , 2002 .

[10]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[11]  Jian L. Zhou,et al.  User's Guide for CFSQP Version 2.0: A C Code for Solving (Large Scale) Constrained Nonlinear (Minimax) Optimization Problems, Generating Iterates Satisfying All Inequality Constraints , 1994 .

[12]  D. Curtis Schleher,et al.  Introduction to Electronic Warfare , 1986 .

[13]  Phillip R. Chandler,et al.  Concepts for Generating Coherent Radar Phantom Tracks Using Cooperating Vehicles , 2004 .

[14]  Victor M. Becerra,et al.  Solving optimal control problems with state constraints using nonlinear programming and simulation tools , 2004, IEEE Transactions on Education.