Unmaximized necessary conditions for constrained control problems

• Type: Article in International Conference Proceedings Book
• Date: 2004

Authors

Maria do Rosário de Pinho (Author) FEUP; Margarida Ferreira (Author) FEUP; Fernando Fontes (Author) FEUP

Conference proceedings International

Title: 2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5

Pages: 917-922

43rd IEEE Conference on Decision and Control

San Diego, CA, DEC 14-17, 2004

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 1 Citation

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

CORDIS: Technological sciences > Engineering > Control engineering

Other information

Authenticus ID: P-000-DV3

DOI: 10.1109/CDC.2004.1428802

Abstract (EN): New first-order necessary conditions of optimality for control problems with mixed state-control and pure state constraints are derived. In contrast to known results these conditions hold when the Jacobian of the active state-control constraints with respect to the control has full rank. A crucial feature of these conditions is that they are stated in terms of a joint subdifferential and do not involve the maximization of the Hamiltonian. The main novelty of the result is precisely the ability to address state-control and pure state constraints, generalizing previously proved results. The conditions developed are, in some cases, stronger than the standard nonsmooth maximum principle, since they can reduce the set of candidates to minimizers.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6