@article{c100b925ab5040a3aaf3a1b755363010,
title = "A sector bound approach to feedback control of nonlinear systems with state quantization",
abstract = "This paper studies the feedback control problem of nonlinear systems in strict-feedback form with state quantizers, which are static and bounded by sectors. Through a novel set-valued map based recursive control design approach, the quantized control system is transformed into an interconnection of several input-to-state stable (ISS) subsystems. The ISS property of the closed-loop system is guaranteed by the recently developed cyclic-small-gain theorem. With an appropriately designed quantized controller, the output of the quantized control system can be steered to within a neighborhood of the origin with its size slightly larger than the quantization error near the origin.",
keywords = "Input-to-state stability (ISS), Nonlinear systems, Sector bound, Small-gain, State quantization",
author = "Tengfei Liu and Jiang, \{Zhong Ping\} and Hill, \{David J.\}",
note = "Funding Information: An IEEE Fellow, Dr. Jiang has served as a Subject Editor for the International Journal of Robust and Nonlinear Control, and as an Associate Editor for Systems \& Control Letters, IEEE Transactions on Automatic Control, European Journal of Control and J. Control Theory and Applications. Dr. Jiang is a recipient of the prestigious Queen Elizabeth II Fellowship Award from the Australian Research Council, the CAREER Award from the US National Science Foundation, and the Young Investigator Award from the NSF of China. He (together with coauthor Yuan Wang) received the Best Theoretic Paper Award at the 2008 World Congress on Intelligent Control and Automation, June 2008, for the paper “A Generalization of the Nonlinear Small-Gain Theorem for Large-Scale Complex Systems”. Funding Information: This research was supported under the Australian Research Councils Discovery funding scheme (project number: FF0455875), in part by a seed grant from NYU and POLY, and by NSF grant DMS-0906659 . This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by the Associate Editor Murat Arcak under the direction of the Editor Andrew R. Teel. ",
year = "2012",
month = jan,
doi = "10.1016/j.automatica.2011.09.041",
language = "English",
volume = "48",
pages = "145--152",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier",
number = "1",
}