Differential Game Guidance Versus Proportional Navigation for an Air-to- Air Missile

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Abstract:

Proportional navigation is a closed loop optimal control for the case of a linear dynamic model of the air-to-air missile intercept problem and a quadratic cost function. This paper presents a differential game model of the intercept problem using nonlinear realistic dynamics, free final time and a terminal cost function related to probability of kill. With this model proportional navigation is no longer optimal and the extent of its nonoptimality is indicated for a range of saddle point solutions. A guidance concept based on differential game theory is discussed and is compared to proportional navigation in an off lime simulation. The considerable gains made by this scheme over proportional navigation provide the incentive to develop a real time version.

Author(s):
Poulter, Robin A.
Author Organization(s):
AIR FORCE INST OF TECH WRIGHT-PATTERSONAFB OH SCHOOL OF ENGINEERING
Descriptive Note:
Master's thesis,
Pagination:
0113

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
GA/MC/75-5
Monitor Series:
AFIT
 Subject Terms
Joint Capability Areas:
JCA_3_Force Application; JCA_3.1.1_Maneuver to Engage; JCA_3.1_Maneuver; JCA_3.2_Engagement; JCA_3.2.1_Kinetic Means; JCA_6.1.2_Wireless Transmission; JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_6_Net Centric; JCA_1_Force Support; JCA_5_Command and Control; JCA_6.1.3_Switching and Routing; JCA_6.1_Information Transport; JCA_1.3_Human Capital Management; JCA_1.2.5_Lessons Learned; JCA_1.2_Force Preparation; JCA_1.3.2_Personnel Management; JCA_5.3_Planning
Modernization Areas:
Fully Networked C3
Communities of Interest:
Weapons Technologies
Descriptor(s):
*AIR TO AIR MISSILES, *PROPORTIONAL NAVIGATION, *GAME THEORY, KILL PROBABILITIES, THESES, STEEPEST DESCENT METHOD, CLOSED LOOP SYSTEMS, OPEN LOOP SYSTEMS, PURSUIT COURSES, EVASION
Field(s)/Group(s):
Operations Research, Air- and Space-Launched Guided Missiles, Air Navigation and Guidance
Keyword(s):
*DIFFERENTIAL GAMES, SCENARIOS, MISSILE GUIDANCE
Report Date:
1975 Dec 01