Homing Missile Guidance Studies: Observability, Adaptability, and the Linear Exponential Gaussian Guidance Law.

Speyer, Jason L.; Hull, David G.

Homing Missile Guidance Studies: Observability, Adaptability, and the Linear Exponential Gaussian Guidance Law.

Active / Technical Report | Accession Number: ADA097624 |

Open PDF

Abstract:

This study is divided into two parts. First, the observability of the system states is considered when angle information is available. The pseudolinear measurements are used to determine global observability for this nonlinear estimation problem. An observer is constructed by defining a Lyapunov function of the estimation errors. Numerical experiments are used to determine the gains necessary to accurately determine all the states within the time of the engagement. If measurement noise is present, the filter is biased. Techniques of reducing the effect of the bias are explored. The second phase considers the combination of the linear exponential Gaussian LEG guidance law with an extended Kalman filter EKF. The measurement variance of the EKF is estimated on-line. The error variance generated by the EKF is used in the LEG guidance law adaptively, changing its gains. This system is tested in a six-degree-of-freedom simulation of a bank-to-turn missile. Author

Author(s):

Speyer, Jason L. ; Hull, David G.

Author Organization(s):

INTERGRAPH CORP HUNTSVILLE AL

Descriptive Note:

Final rept.,

Pagination:

0053

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:

Approved For Public Release

RECORD

Collection: TR

Identifying Numbers

Report Number(s):

81-016

Contract/Grant Number(s):

DAAH01-80-D-0010

Subject Terms

Joint Capability Areas:

JCA_5_Command and Control; JCA_5.5_Direct; JCA_5.5.1_Communicate Intent and Guidance; JCA_5.3_Planning; JCA_1.2.7_Experimentation; JCA_1.3_Human Capital Management; JCA_1.4_Force Support; JCA_1_Force Support; JCA_1.3.2_Personnel Management; JCA_6.1.3_Switching and Routing

Communities of Interest:

Weapons Technologies

Descriptor(s):

*MATHEMATICAL MODELS, *GUIDED MISSILES, *KALMAN FILTERING, *HOMING DEVICES, LINEAR SYSTEMS, OPTIMIZATION, ADAPTIVE CONTROL SYSTEMS, PHASE, DEGREES OF FREEDOM, MATHEMATICAL FILTERS, NONLINEAR ANALYSIS, NUMERICAL METHODS AND PROCEDURES, EXPONENTIAL FUNCTIONS, BIAS, ANGULAR MOTION, LYAPUNOV FUNCTIONS

Field(s)/Group(s):

Numerical Mathematics, Guided Missiles

Keyword(s):

Gaussian procedures, Gaussian guidance law, LEG(Linear Exponential Gaussian)

Report Date:

1981 Mar 31