On-line Estimation of Stability and Passivity Metrics

Shirantha Welikala, Hai Lin, Panos J. Antsaklis

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations

Abstract

We consider the problem of on-line evaluation of critical characteristic parameters such as the ℒ2-gain, input feedforward passivity index and output feedback passivity index of non-linear systems using their input-output data. Typically, having an accurate measure of such system indices enables the application of systematic control design techniques. Moreover, if such system indices can efficiently be evaluated on-line, they can be exploited to design intelligent control solutions. However, the existing off-line estimation methods of such system indices are computationally inefficient and require a large amount of input-output data. On the other hand, the existing on-line estimation methods take an averaging-based approach, which may be sub-optimal, computationally inefficient and susceptible to estimate saturation. To overcome these challenges in the on-line estimation of system indices, we establish and exploit several interesting theoretical results on a particular class of fractional function optimization problems. Finally, we provide several numerical examples to highlight our contributions.

Original languageEnglish
Title of host publication2022 IEEE 61st Conference on Decision and Control, CDC 2022
Pages267-272
Number of pages6
ISBN (Electronic)9781665467612
DOIs
StatePublished - 2022
Event61st IEEE Conference on Decision and Control, CDC 2022 - Cancun, Mexico
Duration: 6 Dec 20229 Dec 2022

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2022-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference61st IEEE Conference on Decision and Control, CDC 2022
Country/TerritoryMexico
CityCancun
Period6/12/229/12/22

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