Chaos control and chaos synchronization of a multi-wing chaotic system and its application in multi-frequency weak signal detection
Source abstract
Abstract
In this paper, first, a nonlinear feedback controller for achieving chaos control of a novel multi-wing chaotic system is presented. The nonlinear feedback controller has two parts. The first part is used to compensate an equilibrium point for the multi-wing chaotic system. The second part is a linear state feedback controller. The nonlinear feedback controller can globally asymptotically stabilize the multi-wing chaotic system to the equilibrium point. Stability conditions are given by using the Barbashin–Krasovskii theorem. Then, a linear state feedback controller for achieving chaos synchronization of the multi-wing chaotic system is presented. The linear state feedback controller can asymptotically stabilize the chaos synchronization error system to the origin. Stability conditions are given by using the passivity-based theory. Finally, a multi-frequency weak signal detection method is presented based on chaos control of the multi-wing chaotic system. The detection method can detect the frequencies of the weak signal and does not need to determine the critical point.
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Research context
OpenAlex topics: Chaos control and synchronization · Nonlinear Dynamics and Pattern Formation · Complex Systems and Time Series Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Automation, College of Electric Power, Jinchuan Campus, Inner Mongolia University of Technology 1 , Hohhot 010080, People’s Republic of China
Key Laboratory of Electromechanical Control in Inner Mongolia Autonomous Region 2 , Hohhot 010051, People’s Republic of China
Funding
Inner Mongolia University of Technology · Natural Science Foundation of Inner Mongolia
References (29)
Show source-provided references
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