Title
What happens when certainty equivalence is not valid? Is there an optimal estimator for terminal guidance?
Abstract
Almost every known optimal control design has been based on the simplifying implementation idea that assumes the validity of the Certainty Equivalence Principle and the associated Separation Theorem. However, there are some optimal control problems for which the principle is not valid and a conventional design based on the unjustified assumption of validity can create unsatisfactory performance. This pitfall is illustrated by an example of interceptor guidance in a ballistic missile defense scenario. Results of extensive Monte Carlo simulations question the very existence of an independently designed optimal estimator for this task.
Year
DOI
Venue
2003
10.1016/j.arcontrol.2003.10.001
Annual Reviews in Control
Keywords
Field
DocType
Certainty equivalence,Separation,Estimation,Terminal guidance
Monte Carlo method,Mathematical optimization,Certainty equivalence,Optimal control,Optimal control design,Terminal guidance,Control theory,Mutual fund separation theorem,Ballistic missile,Mathematics,Estimator
Journal
Volume
Issue
ISSN
27
2
1367-5788
Citations 
PageRank 
References 
3
1.20
2
Authors
2
Name
Order
Citations
PageRank
Josef Shinar15513.19
Vladimir Turetsky28017.27