An Indirect Method for Regular State-Constrained Optimal Control Problems in Flow Fields

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

Chertovskih, R (Autor) FEUP; Karamzin, D (Autor) Outra; Khalil, NT (Autor) Outra; Fernando Lobo Pereira (Autor) FEUP

Revista

Título: IEEE Transactions on Automatic Control

Vol. 66

Páginas: 787-793

ISSN: 0018-9286

Editora: IEEE

Indexação

ISI Web of Knowledge - 13 Citações

Scopus - 13 Citações

Outras Informações

ID Authenticus: P-00S-2WC

DOI: 10.1109/tac.2020.2986179

Abstract (EN): This article concerns an indirect method to solve state-constrained optimal control problems. The dynamics of the controlled system is given by ordinary differential equations encompassing the effect of a steady flow field in which the moving object is immersed. The proposed method is based on the maximum principle in Gamkrelidze's form. At the core of the approach is a regularity hypothesis which entails the continuity of the measure Lagrange multiplier associated with the state constraint. This property plays key role in shaping a properly modified shooting method to solve the two-point boundary value problem resulting from the maximum principle. Illustrative applications to time optimal control problems are considered and results of numerical experiments are provided.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 7