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Mathematical Problems in Engineering, Aerospace and Sciences
June 25-27, 2008
University of Genoa, Italy
Genoa, Italy

Organizers
General Organizer and Chair: Seenith Sivasundaram, USA; Local organizer and Chair: Marcello Sanguineti, Italy

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A class of HOSM algorithms with optimal finite-time reaching
by
Francesco Dinuzzo
Department of Mathematics 'F. Casorati'- University of Pavia - Pavia, Italy
Coauthors: Antonella Ferrara, Department of Computer Engineering and Systems Science, University of Pavia - Pavia, Italy

The Fuller's problem is a well-known problem in optimal control for a chain of integrators with bounded control. We introduce an extension, the Robust Fuller's Problem, and show that its solution can be used to design HOSM algorithms of generic order r providing optimal finite-time reaching of the sliding manifold. It is shown that several already known controllers belong to this general framework. The convergence and stability properties of the proposed class of HOSM controllers are theoretically analyzed.

Date received: March 12, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawz-15.