Abstract

This paper quantifies performance bounds of L1 adaptive controllers for linear uncertain systems with input quantization. Two basic types of quantizers are considered: uniform quantizers and logarithmic quantizers. The performance bounds of the L1 adaptive controller in the presence of input quantization proved to have an additional term, dependent upon the quality of quantization. The signals of the closed-loop L1 adaptive systems can be rendered arbitrarily close to the corresponding signals of a bounded reference system by increasing the adaptation rate and improving the quantizer. Simulations confirm the theoretical results.

Original languageEnglish (US)
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
Pages253-258
Number of pages6
StatePublished - Oct 15 2010
Event2010 American Control Conference, ACC 2010 - Baltimore, MD, United States
Duration: Jun 30 2010Jul 2 2010

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

Other

Other2010 American Control Conference, ACC 2010
CountryUnited States
CityBaltimore, MD
Period6/30/107/2/10

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Sun, H., Hovakimyan, N., & Başar, T. (2010). L1 adaptive controller for systems with input quantization. In Proceedings of the 2010 American Control Conference, ACC 2010 (pp. 253-258). [5530607] (Proceedings of the 2010 American Control Conference, ACC 2010).