On robustness of L1 adaptive control with time varying perturbations & filter design

Mohammad Naghnaeian; Petros G. Voulgaris; Naira Hovakimyan

On robustness of L₁ adaptive control with time varying perturbations & filter design

Mohammad Naghnaeian, Petros G. Voulgaris, Naira Hovakimyan

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

Abstract

In this paper, stability and performance robustness of L₁ adaptive control for a class of LTI systems with time varying perturbations is considered. We derive a lower bound on the time delay margin at the input independent of the adaptation gain. Then, we present a systematic way to design a filter for which the desired performance and time delay margin is guaranteed. We show how this filter design can be captured as a stability robustness problem in l₁ robust control theory framework.

Original language	English (US)
Title of host publication	2012 American Control Conference, ACC 2012
Pages	1937-1942
Number of pages	6
State	Published - Nov 26 2012
Event	2012 American Control Conference, ACC 2012 - Montreal, QC, Canada Duration: Jun 27 2012 → Jun 29 2012

Publication series

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

Other

Other	2012 American Control Conference, ACC 2012
Country/Territory	Canada
City	Montreal, QC
Period	6/27/12 → 6/29/12

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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title = "On robustness of L1 adaptive control with time varying perturbations & filter design",

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AB - In this paper, stability and performance robustness of L1 adaptive control for a class of LTI systems with time varying perturbations is considered. We derive a lower bound on the time delay margin at the input independent of the adaptation gain. Then, we present a systematic way to design a filter for which the desired performance and time delay margin is guaranteed. We show how this filter design can be captured as a stability robustness problem in l1 robust control theory framework.

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