L1 adaptive controller for systems with input quantization

Hui Sun; Naira Hovakimyan; Tamer Başar

L₁ adaptive controller for systems with input quantization

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 language	English (US)
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Pages	253-258
Number of pages	6
State	Published - 2010
Event	2010 American Control Conference, ACC 2010 - Baltimore, MD, United States Duration: Jun 30 2010 → Jul 2 2010

Publication series

Name	Proceedings of the 2010 American Control Conference, ACC 2010

Other

Other	2010 American Control Conference, ACC 2010
Country/Territory	United States
City	Baltimore, MD
Period	6/30/10 → 7/2/10

ASJC Scopus subject areas

Control and Systems Engineering

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Cite this

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title = "L1 adaptive controller for systems with input quantization",

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.",

author = "Hui Sun and Naira Hovakimyan and Tamer Ba{\c s}ar",

year = "2010",

language = "English (US)",

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series = "Proceedings of the 2010 American Control Conference, ACC 2010",

pages = "253--258",

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note = "2010 American Control Conference, ACC 2010 ; Conference date: 30-06-2010 Through 02-07-2010",

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AU - Sun, Hui

AU - Hovakimyan, Naira

AU - Başar, Tamer

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N2 - 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.

AB - 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.

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