Design and Dynamics Analysis of a Time-Delay Feedback Controller With Distributed Characteristic

At present, some control strategies have been applied to bifurcation control, but these control strategies are flawed. For instance, some new equilibrium are likely to emerge in the controlled system by the state feedback control and proportional-derivative control. The time-delay feedback control a...

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Published in:IEEE transactions on automatic control Vol. 68; no. 3; pp. 1926 - 1933
Main Authors: Tao, Binbin, Xiao, Min, Zheng, Wei Xing, Zhou, Ying, Ding, Jie, Jiang, Guoping, Wu, Xiaoqun
Format: Journal Article
Language:English
Published: New York IEEE 01.03.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Adaptive control
Bifurcation
Bifurcations
Control systems
Control systems design
Delay
Delay systems
Delays
Design
Design defects
distributed characteristics
Feedback control
Hybrid control
Intervals
Kernel
network analysis and control
nonlinear systems
Stability analysis
State feedback
ISSN:0018-9286, 1558-2523
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Abstract At present, some control strategies have been applied to bifurcation control, but these control strategies are flawed. For instance, some new equilibrium are likely to emerge in the controlled system by the state feedback control and proportional-derivative control. The time-delay feedback control and hybrid control may force the controlled system to have discontinuous stable intervals. In consideration of these defects, this article is the first to design a time-delay feedback control strategy with distributed characteristics. The designed controller may not only remain the invariance of the quantity and position of equilibriums, but also ensure the continuity of stability intervals on the controlled system. It is observed that under the specific control parameters, the designed controller can be weakened to the state feedback controller. The bifurcation threshold of the controlled object can be effectively improved. Finally, numerical simulation results verify the validity of the designed controller and illustrate the variations of dynamic performance for the controlled object. Some comparative experiments are directly rendered to reveal the superiority of the designed control strategy.
AbstractList At present, some control strategies have been applied to bifurcation control, but these control strategies are flawed. For instance, some new equilibrium are likely to emerge in the controlled system by the state feedback control and proportional–derivative control. The time-delay feedback control and hybrid control may force the controlled system to have discontinuous stable intervals. In consideration of these defects, this article is the first to design a time-delay feedback control strategy with distributed characteristics. The designed controller may not only remain the invariance of the quantity and position of equilibriums, but also ensure the continuity of stability intervals on the controlled system. It is observed that under the specific control parameters, the designed controller can be weakened to the state feedback controller. The bifurcation threshold of the controlled object can be effectively improved. Finally, numerical simulation results verify the validity of the designed controller and illustrate the variations of dynamic performance for the controlled object. Some comparative experiments are directly rendered to reveal the superiority of the designed control strategy.
Author Ding, Jie
Jiang, Guoping
Tao, Binbin
Wu, Xiaoqun
Zheng, Wei Xing
Xiao, Min
Zhou, Ying
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Snippet At present, some control strategies have been applied to bifurcation control, but these control strategies are flawed. For instance, some new equilibrium are...
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StartPage 1926
SubjectTerms Adaptive control
Bifurcation
Bifurcations
Control systems
Control systems design
Delay
Delay systems
Delays
Design
Design defects
distributed characteristics
Feedback control
Hybrid control
Intervals
Kernel
network analysis and control
nonlinear systems
Stability analysis
State feedback
Title Design and Dynamics Analysis of a Time-Delay Feedback Controller With Distributed Characteristic
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https://www.proquest.com/docview/2780989179
Volume 68
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