We consider a class of optimal control problems with control-affine dynamics and integral cost linear in the absolute value of the control. The Pontryagin extremals associated with such systems are given by (possible) concatenations of bang arcs with singular arcs and with inactivated arcs, that is, arcs where the control is identically zero. We focus on Pontryagin extremals of the form bang-inactive-bang. We use Hamiltonian methods to prove that the coercivity of a suitable second variation associated with the candidate extremal is sufficient to prove its strong-local optimality.

Optimality conditions for extremals containing bang and inactivated arcs / Chittaro, FC; Poggiolini, L. - ELETTRONICO. - (2018), pp. 1975-1980. ((Intervento presentato al convegno 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 tenutosi a Melbourne nel 12-15 December 2017 [10.1109/CDC.2017.8263938].

Optimality conditions for extremals containing bang and inactivated arcs

POGGIOLINI, LAURA;
2018

Abstract

We consider a class of optimal control problems with control-affine dynamics and integral cost linear in the absolute value of the control. The Pontryagin extremals associated with such systems are given by (possible) concatenations of bang arcs with singular arcs and with inactivated arcs, that is, arcs where the control is identically zero. We focus on Pontryagin extremals of the form bang-inactive-bang. We use Hamiltonian methods to prove that the coercivity of a suitable second variation associated with the candidate extremal is sufficient to prove its strong-local optimality.
2017 IEEE 56th Annual Conference on Decision and Control (CDC)
2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Melbourne
12-15 December 2017
Chittaro, FC; Poggiolini, L
File in questo prodotto:
File Dimensione Formato  
Chittaro-Poggiolini-CDC.pdf

Accesso chiuso

Descrizione: Articolo
Tipologia: Pdf editoriale (Version of record)
Licenza: DRM non definito
Dimensione 320.42 kB
Formato Adobe PDF
320.42 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1156104
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 1
social impact