Low-Pass Filer-Based Control of Chaos by Bounded Damping Feedback

Lin Du, Yan Zhang

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

Abstract

A bounded damping feedback method to stabilize the stationary state in a class of autonomous and non-Autonomous chaotic systems is presented in this paper. The controller needs the measurement of damping signals constantly. In applications, this is difficult to achieve for the high sensitivity of noise in damping feedback. Actually, the filters of signals which mean energy loss lead the system more stabilization. In this way, the proposed method has advantage of being easy to implement without precise knowledge of the target trajectory. In applications, examples of autonomous Chen system and non-Autonomous Gyro system are employed to illustrate the control effect. Accordingly, a rigorous stability proof of controlled version is provided based on Routh-Hurwitz criteria and LaSalle Invariance theorem. Numerical simulations verify the effectiveness of the feedback control method by increasing the maximum amplitude of the control law.

Original languageEnglish
Title of host publicationVulnerability, Uncertainty, and Risk
Subtitle of host publicationQuantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014
EditorsJim W. Hall, Siu-Kui Au, Michael Beer
PublisherAmerican Society of Civil Engineers (ASCE)
Pages1898-1912
Number of pages15
ISBN (Electronic)9780784413609
DOIs
StatePublished - 2014
Event2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014 - Liverpool, United Kingdom
Duration: 13 Jul 201416 Jul 2014

Publication series

NameVulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014

Conference

Conference2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014
Country/TerritoryUnited Kingdom
CityLiverpool
Period13/07/1416/07/14

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