Adjoint Stability and Miss Distance in Proportional Navigation

作者:Goldan Orly*; Gutman Shaul
来源:Journal of Guidance, Control, and Dynamics, 2012, 35(4): 1089-1093.
DOI:10.2514/1.56143

摘要

In this paper, the performances of bounded evasive maneuvers against a missile guided by proportional navigation (PN) are considered. Naturally, guidance systems operate on a finite time interval, and the miss distance is measured at the end of this interval. Can a rational evasive maneuver force an increasing miss with an increasing time interval? A positive answer implies that an evasive target may force unbounded miss distance by starting the maneuver early enough. Taking the time interval to infinity, the connection of bounded miss distance in PN with asymptotic stability of the adjoint system is shown. Although this is clear on an intuitive level, it is important to present a rigorous proof and the correspondent conditions. In particular, under mild conditions, the worst miss is bounded over the infinite flight time.

  • 出版日期2012-8