Abstract

This paper studies the tracking problem of an uncertain LTI system where both the control input and system state are quantized. The L1 adaptive controller is designed for the quantized system. Two common types of quantization, logarithmic and uniform, quantization are considered. In both cases, the analysis of the closed-loop system provides a uniform transient performance bound, which depends on the adaptation rate and the quantization densities of the state and the input. By increasing the adaptation rate and improving the state and the input quantization, the closed-loop system response can be rendered arbitrarily close to the reference system output. Finally, the simulations illustrate the theoretical results.

Original languageEnglish (US)
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
Pages582-587
Number of pages6
StatePublished - Sep 29 2011
Event2011 American Control Conference, ACC 2011 - San Francisco, CA, United States
Duration: Jun 29 2011Jul 1 2011

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2011 American Control Conference, ACC 2011
CountryUnited States
CitySan Francisco, CA
Period6/29/117/1/11

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Sun, H., Hovakimyan, N., & Başar, T. (2011). L1 adaptive controller for quantized systems. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 582-587). [5991468] (Proceedings of the American Control Conference).