The effects of non‐linear kinematics in optimal evasion
- 1 April 1983
- journal article
- research article
- Published by Wiley in Optimal Control Applications and Methods
- Vol. 4 (2) , 139-152
- https://doi.org/10.1002/oca.4660040204
Abstract
The effects of non‐linear kinematics on optimal evasive strategies from a pursuer guided by proportional navigation are investigated in a plane. Non‐linear analysis is mandatory since, for certain values of system parameters and initial conditions, linearized kinematic models are not valid. The investigation discloses two principles of optimal evasion. For long pursuit time, both principles are satisfied and the relatively large miss distance is almost independent of the initial conditions. Short pursuit time does not allow simultaneous satisfaction of both principles, and the two‐dimensional optimal compromise results in a reduced miss distance. The inability to satisfy both principles suggests a three‐dimensional manoeuvre perpendicular to the initial collision plane.Keywords
This publication has 11 references indexed in Scilit:
- Bounds for the additional cost of near-optimal controlsJournal of Optimization Theory and Applications, 1980
- Three-dimensional optimal pursuit and evasion with bounded controlsIEEE Transactions on Automatic Control, 1980
- Analysis of Three-Dimensional Optimal Evasion with Linearized KinematicsJournal of Guidance and Control, 1979
- Missile Guidance for Low-Altitude Air DefenseJournal of Guidance and Control, 1979
- Analysis of Optimal Evasive Maneuvers Based on a Linearized Two-Dimensional Kinematic ModelJournal of Aircraft, 1977
- Analysis of Aircraft Evasion Strategies in Air-to-Air Missille Effectiveness ModelsPublished by Defense Technical Information Center (DTIC) ,1975
- Optimal evasive tactics against a proportional navigation missile with time delay.Journal of Spacecraft and Rockets, 1973
- Proportional navigation vs an optimally evading, constant-speed target in two dimensionsJournal of Spacecraft and Rockets, 1970
- Differential games and optimal pursuit-evasion strategiesIEEE Transactions on Automatic Control, 1965
- OPTIMAL PROGRAMMING PROBLEMS WITH INEQUALITY CONSTRAINTSAIAA Journal, 1963