Optimal Synthesis for a Triple Integrator with a State Constraint
The time-optimal problem of steering a triple integrator from an arbitrary point to the origin is considered under constraints on the input control and on one of the state variables. An optimal control is synthesized based on the maximum principle in the Dubovitskii–Milyutin form.
Authors
- А. В. Дмитрук (ORCID: https://orcid.org/0000-0003-3028-0077)
- Elena Voronina (ORCID: https://orcid.org/0000-0002-5282-6723)
Institutions
- Lomonosov Moscow State University (RU)
- Central Economics and Mathematics Institute (RU)
Publication Details
- Journal
- Proceedings of the Steklov Institute of Mathematics
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1134/s0081543824070198
- Primary Topic
- Advanced Control Systems Optimization
- Type
- article
- Field-Weighted Citation Impact
- 0.00