Skip Navigation

IMA Journal of Mathematical Control and Information 1996 13(1):63-77; doi:10.1093/imamci/13.1.63
© 1996 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by KULCZYCKI, P.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Almost certain time-optimal positional control

PIOTR KULCZYCKI

Faculty of Electrical Engineering, Cracow University of Technology Poland

The present paper deals with a time-optimal control of positional objects whose dynamics are described by a differential inclusion with discontinuous right-hand side. The contents of this paper consist of a probabilistic concept of solving the above task. The existence and characteristics of an almost certain time-optimal control are shown. In compliance with the results obtained, the switching curve, well known from the (deterministic) classical case, has been ‘blurred’ by a random factor introduced here to the switching region. The material presented constitutes a suitable basis for the creation of technical suboptimal control structures, which can be applied successfully in engineering practice. Empirical experiments confirm numerous advantages of the systems designed, especially in the area of robustness.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.