@inproceedings{633140683d74492cad8f9ff1493a77b1,
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 an arbitrarily small neighborhood of 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.}",
year = "2011",
doi = "10.3182/20110828-6-IT-1002.01701",
language = "English",
isbn = "9783902661937",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "1 PART 1",
pages = "4654--4659",
booktitle = "Proceedings of the 18th IFAC World Congress",
edition = "1 PART 1",
}