@inproceedings{91087bf9a8cc4b25beb163610442f4b9,
title = "Extremum Seeking for Single-Variable Static Map with Measurement Noise via A Time-Delay Approach",
abstract = "In this article, we introduce a time-delay approach to extremum seeking (ES) for scalar static quadratic maps with measurement noise. The approach involves transforming the ES system into a time-delay neutral type system with stochastic perturbations, which guarantees the stability of the original ES system. Using a Lyapunov-Krasovskii (L-K) method, explicit conditions are established for the mean-square ultimate boundedness of the ES control systems. These conditions are expressed in terms of LMIs and depend on the intensity of measurement noise, tuning parameters, and a known arbitrarily large constant L that bounds the 6th moment of the estimation error. Compared to existing results for ES with measurement noise obtained via qualitative analysis, our approach provides a quantitative analysis via a time-delay approach to averaging. A numerical example is provided to illustrate the efficiency of the proposed method.",
author = "Bowen Zhao and Xuefei Yang and Emilia Fridman and Bin Zhou",
note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 13th IEEE International Conference on CYBER Technology in Automation, Control, and Intelligent Systems, CYBER 2023 ; Conference date: 11-07-2023 Through 14-07-2023",
year = "2023",
doi = "10.1109/CYBER59472.2023.10256536",
language = "الإنجليزيّة",
series = "Proceedings of 13th IEEE International Conference on CYBER Technology in Automation, Control, and Intelligent Systems, CYBER 2023",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "13--18",
booktitle = "Proceedings of 13th IEEE International Conference on CYBER Technology in Automation, Control, and Intelligent Systems, CYBER 2023",
address = "الولايات المتّحدة",
}