Transient and asymptotic properties of robust adaptive controllers in the presence of non-coercive lyapunov functions

Aditya A. Paranjape, Vivek Natarajan, Supratim Ghosh

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

Abstract

Adaptive control architectures often make use of Lyapunov functions to design adaptive laws. We are specifically interested in adaptive control methods, such as the well-known {{mathcal{L}}_1} adaptive architecture, which employ a parameter observer for this purpose. In such architectures, the observation error plays a critical role in determining analytical bounds on the tracking error as well as robustness. In this paper, we show how the non-existence of coercive Lyapunov operators can impact the analytical bounds, and with it the performance and the robustness of such adaptive systems.

Original languageEnglish
Title of host publication60th IEEE Conference on Decision and Control, CDC 2021
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages1161-1166
Number of pages6
ISBN (Electronic)9781665436595
DOIs
Publication statusPublished - 2021
Externally publishedYes
EventIEEE Conference on Decision and Control 2021 - Austin, United States of America
Duration: 13 Dec 202117 Dec 2021
Conference number: 60th
https://ieeexplore.ieee.org/xpl/conhome/9682670/proceeding (Proceedings)
https://2021.ieeecdc.org (Website)

Publication series

NameProceedings of the IEEE Conference on Decision and Control
PublisherIEEE, Institute of Electrical and Electronics Engineers
Volume2021-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

ConferenceIEEE Conference on Decision and Control 2021
Abbreviated titleCDC 2021
Country/TerritoryUnited States of America
CityAustin
Period13/12/2117/12/21
Internet address

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