What is it about?
A novel approach is presented which adds to the spectrum of current methods for solving optimal control problems is presented. The unique aspect of this approach is that it can be used when only rough estimates of the initial costates (or adjoint variables) are available. The method is then applied to the problem of optimally controlling a gun-launched, guided projectile.
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Why is it important?
Although there are many publications discussing optimal control problems and methods for solving them, the method presented in this paper is unique in that it does not require very accurate estimates of the costates in order to initiate the process. Also, the method lends itself easily to adding constraints to the problem and solving for an optimal control solution in the presence of those constraints.
Perspectives
This is my first publication in a peer-reviewed journal and comes not only at the end of my professional career as an engineer for the Department of Defense but also at the culmination of a PhD in Aerospace Engineering. The work this paper presents was a collaboration with a career-long colleague and good friend with whom it was a pleasure to work. The acceptance and approval process resulted in a paper which I believe concisely presents the approach and offers an interesting application of the method.
Emmanuel Skamangas
Momentum Engineering, Inc.
Read the Original
This page is a summary of: Analytic Costate Initialization from Rough State-Trajectory Estimates, Journal of Guidance Control and Dynamics, September 2021, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/1.g005224.
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