NDLI: A Stochastic Approach to Optimal Guidance with Uncertain Time-to-go

Content Provider	IEEE Xplore Digital Library
Author	Hexner, G. Weiss, H.
Copyright Year	2006
Description	Author affiliation: RAFAEL POB, Haifa (Hexner, G.; Weiss, H.)
Abstract	The paper presents a stochastic approach to optimal guidance with significant uncertainty in time until intercept. The uncertain intercept time is modeled as a random variable, with discrete probability density. An optimal guidance law is derived by solving the appropriate Hamilton-Jacobi recursion, under the assumptions: (1) the target maneuver is modeled as a first order Gauss-Markov process; (2) the missile's guidance commands are based on observing the line of sight angle to the target in additive observation noise; (3) the missile acceleration response to the acceleration commands is well described by a linear first order transfer function. Although the present problem is formulated in the LQG frame work, the certainty equivalence principle does not apply since the optimal guidance law depends on the discrete probability density of the time until intercept. A simple simulation example shows that when the interceptor has a large acceleration advantage over the target, the miss distances resulting from the use of the proposed law are essentially equivalent to those obtained when using the optimal guidance law, which requires full knowledge of the time until intercept
Starting Page	1972
Ending Page	1977
File Size	222167
Page Count	6
File Format	PDF
ISBN	1424401712
DOI	10.1109/CDC.2006.377299
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-12-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stochastic processes Acceleration Missiles Observability Additive noise Feedback Optimal control USA Councils Uncertainty Random variables
Content Type	Text
Resource Type	Article

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2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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