Linear Covariance Analysis for Head-On Target Engagements
- 1 May 2022
- journal article
- research article
- Published by American Institute of Aeronautics and Astronautics (AIAA) in Journal of Spacecraft and Rockets
- Vol. 59 (3), 794-805
- https://doi.org/10.2514/1.a35178
Abstract
A linear covariance simulation framework is developed and validated for a two-dimensional target engagement scenario. The scenario comprises a single interceptor equipped with an inertial navigation system aided by absolute position measurements, as well as range, angle, and range rate measurements relative to the incoming target. The interceptor uses a proportional navigation guidance law to engage the target, modeled as nominally constant velocity perturbed by Singer motion accelerations. The linear covariance framework is developed by linearizing the differential and measurement equations about the nominal trajectory, and forming an augmented system comprising truth and navigation state dispersions. In contrast with sample-based methods, the developed linear covariance framework can calculate the truth state dispersion covariance and the estimation error covariance throughout the engagement in a single run. It also provides several advantages over analysis methods such as the adjoint technique or traditional covariance analysis. The linear covariance computational efficiency is exploited to rapidly analyze a head-on target engagement problem.Keywords
Funding Information
- Space Dynamics Laboratory (“Tomorrow PhD Fellowship”)
This publication has 35 references indexed in Scilit:
- Capture zones of linear feedback pursuer strategiesAutomatica, 2008
- Missile guidance laws based on pursuit–evasion game formulationsAutomatica, 2003
- Coordinated target assignment and intercept for unmanned air vehiclesIEEE Transactions on Robotics and Automation, 2002
- Biased PNG law for impact with angular constraintIEEE Transactions on Aerospace and Electronic Systems, 1998
- Guidance of a homing missile via nonlinear geometric control methodsJournal of Guidance, Control, and Dynamics, 1995
- Advanced midcourse guidance for air-to-air missilesJournal of Guidance, Control, and Dynamics, 1986
- Miss distance of proportional navigation missile with varying velocityJournal of Guidance, Control, and Dynamics, 1985
- A New Look at Classical vs Modern Homing Missile GuidanceJournal of Guidance and Control, 1981
- Complete Statistical Analysis of Nonlinear Missile Guidance Systems - SLAMJournal of Guidance and Control, 1979
- Direct Statistical Analysis of Nonlinear Systems: CADETAIAA Journal, 1973