TY - GEN
T1 - Low-Pass Filer-Based Control of Chaos by Bounded Damping Feedback
AU - Du, Lin
AU - Zhang, Yan
N1 - Publisher Copyright:
© 2014 American Society of Civil Engineers.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84933557990&partnerID=8YFLogxK
U2 - 10.1061/9780784413609.190
DO - 10.1061/9780784413609.190
M3 - 会议稿件
AN - SCOPUS:84933557990
T3 - Vulnerability, 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
SP - 1898
EP - 1912
BT - Vulnerability, Uncertainty, and Risk
A2 - Hall, Jim W.
A2 - Au, Siu-Kui
A2 - Beer, Michael
PB - American Society of Civil Engineers (ASCE)
T2 - 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014
Y2 - 13 July 2014 through 16 July 2014
ER -