Estimation for Air Combat Games with Unknown Enemy Inputs
Publication: Journal of Aerospace Engineering
Volume 25, Issue 2
Abstract
In a typical application of Kalman filtering, the filter receives the output observation of the system and the control inputs to the system and produces an estimate of the state of the system. In an air combat game, it is unreasonable to assume that direct information about the enemy’s inputs are available. Hence, a straightforward application of filtering does not work. In this paper, two different approaches are presented in estimating the states of friendly as well as enemy forces based on the output observation and the friendly control inputs when the enemy inputs are not available. Stochastic simulations are carried out in the context of a game-theoretic feedback controller and compare their performance under noise. The two methods are the Kalman filter and the unknown input-decoupling observer. The Kalman filter treats the enemy inputs as part of the extended state and obtains an estimate of both the state of the two forces and the input of the enemy. Because the filter was originally designed for a linear time-invariant system, an extension of the filter is presented to a nonlinear time-variant system. Unlike the Kalman filter, the input-decoupling observer does not need to estimate the unknown inputs. Rather, the observer is designed to decouple the unknown inputs from the estimate of the state so that the state estimate is insensitive to the enemy inputs.
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Acknowledgments
The author is grateful to Professor H. Mukai for his generous help. The research was sponsored by the Defense Advanced Research Projects Agency (DARPA) and Air Force Research Laboratory, Air Force Materiel Command, USAF, under agreement number F30602-99-2-0551.
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Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 25 • Issue 2 • April 2012
Pages: 191 - 209
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Dec 14, 2010
Accepted: Apr 29, 2011
Published online: May 2, 2011
Published in print: Apr 1, 2012
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