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A set simulation approach to the computation of invariant sets for nonlinear systems

Author
Pep Cugueró Escofet; Saludes, J.; Escobet, T.
Type of activity
Presentation of work at congresses
Name of edition
2013 IEEE 52nd Annual Conference on Decision and Control
Date of publication
2013
Presentation's date
2013-12-11
Book of congress proceedings
Proceedings of the 2013 IEEE 52nd Annual Conference on Decision and Control: CDC 2013: December 10-13, 2013: Florence, Italy
First page
1944
Last page
1949
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
DOI
https://doi.org/10.1109/CDC.2013.6760166 Open in new window
Repository
http://hdl.handle.net/2117/22896 Open in new window
Abstract
Given a nonlinear discrete-time system, previous works exist that compute invariant sets as finite unions of boxes. Set inversion algorithms based on interval arithmetic are used to obtain inner approximations of the one step set starting in an invariant target set. In this paper a complementary approach based on set simulation is proposed. An invariant set can be obtained if a set trajectory that initiates in a given set, reaches this set again in a given number of steps at most. The first adva...
Citation
Pep Cugueró Escofet; Saludes, J.; Escobet, T. A set simulation approach to the computation of invariant sets for nonlinear systems. A: IEEE Conference on Decision and Control. "Proceedings of the 2013 IEEE 52nd Annual Conference on Decision and Control: CDC 2013: December 10-13, 2013: Florence, Italy". Florència: Institute of Electrical and Electronics Engineers (IEEE), 2013, p. 1944-1949.
Keywords
Computational methods, Computer aided control design
Group of research
CS2AC-UPC - Supervision, Safety and Automatic Control
SAC - Advanced Control Systems
SIC - Smart Control Systems

Participants