Coordination of optimal guidance law and adaptive radiated waveform for interception and rendezvous problems

The authors present an algorithm that allows an interceptor aircraft equipped with an airborne radar to meet another air target (the intercepted) by developing a guidance law and automatically adapting and optimising the transmitted waveform on a pulse-to-pulse basis. The algorithm uses a Kalman filter to predict the relative position and speed of the interceptor with respect to the target. The transmitted waveform is automatically selected based on its ambiguity function and accuracy properties along the approaching path. For each pulse, the interceptor predicts its position and velocity with respect to the target, takes a measurement of range and radial velocity and, with the Kalman filter, refines the relative range and range rate estimates. These are fed into a linear quadratic Gaussian controller that ensures the interceptor reaches the target automatically and successfully with minimum error and with the minimum guidance energy consumption.

[1]  F. Hlawatsch,et al.  Linear and quadratic time-frequency signal representations , 1992, IEEE Signal Processing Magazine.

[2]  P. Nahin Chases and Escapes: The Mathematics of Pursuit and Evasion , 2012 .

[3]  R. Singer Estimating Optimal Tracking Filter Performance for Manned Maneuvering Targets , 1970, IEEE Transactions on Aerospace and Electronic Systems.

[4]  Angelika Foerster Animal Sonar Processes And Performance , 2016 .

[5]  W. Sullivan,et al.  Animal Sonar: Processes and Performance , 1990 .

[6]  Robin J. Evans,et al.  Optimal waveform selection for tracking systems , 1994, IEEE Trans. Inf. Theory.

[7]  Aleksandar Dogandzic,et al.  Cramer-Rao bounds for estimating range, velocity, and direction with an active array , 2001, IEEE Trans. Signal Process..

[8]  E. J. Kelly,et al.  The Radar Measurement of Range, Velocity and Acceleration , 1961, IRE Transactions on Military Electronics.

[9]  Antonio De Maio,et al.  Cognitive Radar Signal Processing , 2014 .

[10]  M. Melamed Detection , 2021, SETI: Astronomy as a Contact Sport.

[11]  Michael Athans On Optimal Allocation and Guidance Laws for Linear lnterception and Rendezvous Problems , 1971, IEEE Transactions on Aerospace and Electronic Systems.

[12]  M. J. Rycroft,et al.  Radar signals: An introduction to theory and application , 1995 .

[13]  Alessio Balleri,et al.  Ambiguity function and accuracy of the hyperbolic chirp: comparison with the linear chirp , 2017 .

[14]  Hugh F. Durrant-Whyte,et al.  A solution to the simultaneous localization and map building (SLAM) problem , 2001, IEEE Trans. Robotics Autom..