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@inproceedings{905379,
author = {Tůmová, Jana and Yordanov, Boyan and Belta, Calin and Černá, Ivana and Barnat, Jiří},
address = {Neuveden},
booktitle = {Proceedings of of the 49th IEEE Conference on Decision and Control (CDC)},
keywords = {Automata; Game Theory; Hybrid Systems},
language = {eng},
location = {Neuveden},
isbn = {978-1-4244-7744-9},
pages = {4230-4235},
publisher = {Omnipress for IEEE Control Systems Society},
title = {A Symbolic Approach to Controlling Piecewise Affine Systems},
year = {2010}
}
TY - JOUR
ID - 905379
AU - Tůmová, Jana - Yordanov, Boyan - Belta, Calin - Černá, Ivana - Barnat, Jiří
PY - 2010
TI - A Symbolic Approach to Controlling Piecewise Affine Systems
PB - Omnipress for IEEE Control Systems Society
CY - Neuveden
SN - 9781424477449
KW - Automata
KW - Game Theory
KW - Hybrid Systems
N2 - We present a computational framework for auto- matic synthesis of a feedback control strategy for a piecewise affine (PWA) system from a specification given as a Linear Temporal Logic (LTL) formula over an arbitrary set of linear predicates in its state variables. First, by defining partitions for its state and input spaces, we construct a finite abstraction of the PWA system in the form of a control transition system. Second, we develop an algorithm to generate a control strategy for the finite abstraction. While provably correct and robust to small perturbations in both state measurements and applied inputs, the overall procedure is conservative and expensive. The proposed algorithms have been implemented and are available for download. Illustrative examples are included.
ER -
TŮMOVÁ, Jana, Boyan YORDANOV, Calin BELTA, Ivana ČERNÁ a Jiří BARNAT. A Symbolic Approach to Controlling Piecewise Affine Systems. In \textit{Proceedings of of the 49th IEEE Conference on Decision and Control (CDC)}. Neuveden: Omnipress for IEEE Control Systems Society, 2010, s.~4230-4235. ISBN~978-1-4244-7744-9.
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