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On the Robustness of Nominal Nonlinear Minimum-Time Control and Extension to Non-Robustly Controllable Target Sets.

Authors :
Pin, Gilberto
Parisini, Thomas
Source :
IEEE Transactions on Automatic Control; Apr2014, Vol. 59 Issue 4, p863-875, 13p
Publication Year :
2014

Abstract

This work deals with the analysis and the design of minimum-time control laws for a class of nonlinear discrete-time dynamical systems characterized by \cal K-continuous transition maps and bounded control inputs. In the paper, it is shown that the reachability properties of the target set, even if not robust positively controllable in one state transition, can be exploited to assess the existence of a robust positively controllable set including the target in its interior. This result allows the formulation of a robustified minimum-time control policy, based on iterated online optimizations and guaranteeing the ultimate boundedness of the state-trajectories in the presence of bounded uncertainties, even if the target set is not robust positively controllable. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
00189286
Volume :
59
Issue :
4
Database :
Complementary Index
Journal :
IEEE Transactions on Automatic Control
Publication Type :
Periodical
Accession number :
95068844
Full Text :
https://doi.org/10.1109/TAC.2013.2293217