An adaptive approach to the range-only station-keeping problem

With the use of concepts from switched adaptive control theory plus a special parameterization of the class of 2 x 2 nonsingular matrices, a tractable and provably correct solution is given to the three landmark station-keeping problems in the plane in which range measurements are the only sensed signals upon which station keeping is to be based. The performance of the overall system degrades gracefully in the face of increasing measurement and misalignment errors, provided that the measurement errors are not too large. Copyright (c) 2012 John Wiley & Sons, Ltd.