Measure-controlled dynamic systems: Polyhedral approximation of their reachable set boundary

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Baturin, VA (Author) Other; Goncharova, EV (Author) Other; Fernando Lobo Pereira (Author) FEUP; João Tasso Sousa (Author) FEUP

Journal

Title: Automation and Remote Control

Vol. 67 No. 3

Pages: 350-360

ISSN: 0005-1179

Publisher: Pleiades Publishing

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 5 Citations

Other information

Authenticus ID: P-004-MVN

DOI: 10.1134/s0005117906030027

Abstract (EN): An algorithm for polyhedral approximation of the reachable set of impulsive dynamic control systems is designed. The boundary points of the reachable set are determined by recursively generating and solving a family of auxiliary optimal impulsive control problems with state-linear objective functional. The impulsive control problem is solved with an algorithm that implicitly reduces the problem an ordinary optimal control problem. The reduced problem thus obtained is solved with an algorithm based on local approximations of the reachable set.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11