The robust minimal controllability problem

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Pequito, S (Autor) Outra; Ramos, G (Autor) Outra; Kar, S (Autor) Outra; Aguiar, AP (Autor) FEUP; Ramos, J (Autor) Outra

Revista

Título: Automatica

Vol. 82

Páginas: 261-268

ISSN: 0005-1098

Editora: Elsevier

Indexação

ISI Web of Knowledge - 24 Citações

Scopus - 25 Citações

Outras Informações

ID Authenticus: P-00M-TXZ

DOI: 10.1016/j.automatica.2017.04.053

Abstract (EN): In this paper, we address the robust minimal controllability problem, where the goal is, given a linear time invariant system, to determine a minimal subset of state variables to be actuated to ensure controllability under additional constraints. We study the problem of characterizing the sparsest input matrices that assure controllability, when the autonomous dynamics' matrix is simple when a specified number of inputs fail. We show that this problem is NP-hard, and under the assumption that the dynamics' matrix is simple, we show that it is possible to reduce the problem to a set multi-covering problem. Additionally, under this assumption, we prove that this problem is NP-complete, and polynomial algorithms to approximate the solutions of a set multi-covering problem can be leveraged to obtain close-to-optimal solutions.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 8