Derivative-dependent control of stochastic systems via delayed feedback implementation

Jin Zhang, Emilia Fridman

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

Abstract

We study a delayed implementation of derivative-dependent control for the third-order vector stochastic systems. The derivatives are approximated by finite differences giving rise to a delayed feedback. Recently, a new method for designing of such feedback under continuous-time and sampled measurements was suggested in the deterministic case. In the present paper, we extend this design to stochastic systems. For the case of continuous-time measurements, a neutral type model transformation and appropriate Lyapunov functionals are employed to derive linear matrix inequalities (LMIs). The results are further extended to the sampled-data implementation. Numerical examples illustrate the efficiency of the results.

Original languageEnglish
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages66-71
Number of pages6
ISBN (Electronic)9781728113982
DOIs
StatePublished - Dec 2019
Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
Duration: 11 Dec 201913 Dec 2019

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2019-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference58th IEEE Conference on Decision and Control, CDC 2019
Country/TerritoryFrance
CityNice
Period11/12/1913/12/19

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