Multistage Stabilized Continuation for Indirect Optimal Control of Three-Dimensional Hypersonic Trajectories

Vedantam, Mihir; Akella, Maruthi R.; Grant, Michael J.

doi:10.2514/1.a35313

Multistage Stabilized Continuation for Indirect Optimal Control of Three-Dimensional Hypersonic Trajectories

Journal Article · Wed Jun 22 00:00:00 EDT 2022 · Journal of Spacecraft and Rockets

DOI:https://doi.org/10.2514/1.a35313· OSTI ID:1883188

Vedantam, Mihir ^[1]; Akella, Maruthi R. ^[1]; Grant, Michael J. ^[2]

Univ. of Texas, Austin, TX (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

This work presents the development of a multistaged stabilized continuation for the three-dimensional unpowered hypersonic trajectory planning problem using indirect optimal control methods. The stabilized continuation method is noniterative and guaranteed to terminate within a finite number of floating point operations, thereby making it well suited for onboard autonomous implementations. Here, we present a multistage formulation of the stabilized continuation scheme that involves starting with a “loose” integration tolerance during the first stage and ramping up toward a “strict” integration tolerance through subsequent stages. An important benefit of this approach is that even when the solution to the underlying optimal control problem is numerically unstable, such as with the hypersonic vehicle footprint generation problem, the stabilized continuation algorithm is shown to be successful in finding a solution while providing some additional insights into the underlying cause of the numerical instability.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1883188

Report Number(s):: SAND2022-6585J; 706102

Journal Information:: Journal of Spacecraft and Rockets, Journal Name: Journal of Spacecraft and Rockets Journal Issue: 6 Vol. 59; ISSN 0022-4650

Publisher:: AIAACopyright Statement

Country of Publication:: United States

Language:: English

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33 ADVANCED PROPULSION SYSTEMS
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Multistage Stabilized Continuation for Indirect Optimal Control of Three-Dimensional Hypersonic Trajectories

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