1 / 25

Optimal Missile Guidance system

Optimal Missile Guidance system. By Yaron Eshet & Alon Shtakan Supervised by Dr. Mark Mulin. Equations of motion. Target. Missile. Interception - Overview. Parameters : Interception:. Necessary condition for interception for all initial conditions :

randall
Download Presentation

Optimal Missile Guidance system

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Optimal Missile Guidance system By Yaron Eshet & Alon Shtakan Supervised by Dr. Mark Mulin

  2. Equations of motion Target Missile

  3. Interception - Overview Parameters: Interception: Necessary condition for interception for all initial conditions: The problem: non-linear and complex relation between the parameters • The solution: • Guidance law in (RTPN) to achieve • b) Guidance law in to complete the interception process

  4. Test case Simple maneuver simulates realistic missile

  5. Test case – Guidance law RTPN: Realistic true proportional navigation Guidance law perpendicular to line of sight (LOS(: compensation of target missile acceleration

  6. Test case – Guidance law distance decrease: has a projection in direction Target LOS Missile

  7. Test Case: equations of motion Initial conditions

  8. Interception in 37.57 sec

  9. Interception time vs.  • The influence of  depends on the initial conditions  difference in interception time of order 0.1 sec  difference in interception time of order 10 sec

  10. Interception time vs.  • For  values under a certain bound, there is no guarantee for interception Interception time diverges for small values of 

  11. Interception time vs.  • Saturation zone: minor influence of . Critical influence for initial conditions and maneuver interception time ~ 37 sec interception time ~ 200 sec

  12. Analytical analysis Necessary condition for interception for all initial conditions (1) resulting condition (2)

  13. Behavior of with respect to  (comparison with theory) =3.85 (interception) =1.51 (interception) =1.49 (interception) =0.9 (miss) Edge of divergence extreme divergence divergence occurs around r0 , as  starts varying rapidly

  14. ? ensures interception for all initial conditions depends on maneuver The solution: guidance law also in direction

  15. ?

  16. Summery: sufficient conditions for interception K>0 1.5< These conditions ensure interception for all initial conditions and for any target missile maneuver.

  17. Gain Scheduling - K The case: delay in data acquisition about the target missile maneuver  limited sensitivity sec 203.73 212.08

  18. Gain Scheduling -  The case: adjusting for distance increase/decrease not negligible  sec 47.34 49.68

  19. Constraints on interception time: Optimal control

  20. Example: Limited angular acceleration

  21. No limit No interception

  22. Transition from failure to successful interception (green plot – previous page) Conclusion: Under realistic constraints, one gets an upper bound for K, which means a lower bound for interception time

  23. Ideal interception vs. interception under constraint (blue vs. red plots) No constraint Conclusion: Interception with no constraint is faster indeed. However, it requires homing missile with higher performance and greater control effort.

  24. Project summery • Analysis of the equations of motion of the system • Introduction of guidance laws and study of their function in ensuring interception • Applying “Gain Scheduling” methods for improved performance • Analysis of the system behavior under realistic constraints and restrictions

  25. The End

More Related