複数予測遅延フィードバックを用いたカオス制御

劉 大生; 山浦 弘

doi:10.11511/jacc.54.0.374.0

THE 54TH JAPAN JOINT AUTOMATIC CONTROL CONFERENCE

Session ID : 2I205

DOI https://doi.org/10.11511/jacc.54.0.374.0

Conference information

Host: The Society of Instrument and Control Engineers, The Japan Society of Mechanical Engineers, The Institute of Systems, Control and Information Engineers, The Society of Chemical Engineers, The Japan Society for Precision Engineering, The Japan Society for Aeronautical and Space Sciences

Co-host: Toyohashi University of Technology, Technically Cosponsored by 51 Societies and Institutes

Dynamics and Control of Complex Systems (2)

Chaos control by Multi-prediction Delayed Feedback

*Dasheng Liu, Hiroshi Yamaura

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Keywords: Chaos control, Delayed feedback control, Stability, Nonlinear control, Gymnastic robot, Van der Pol

CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract

This paper studied the stabilization problem of unstable periodic orbits embedded in the chaotic high-order continuous-time systems. A method, named as Multi-prediction Delayed Feedback Control (MDFC), was proposed to control the chaotic system via periodic gain.First, plural Poincare maps are defined to regard the target continuous-time system as a T-periodic discrete-time system.Then, the system stability can be evaluated based on the theory of monodromy matrix.Finally, its effectiveness was confirmed with numerical simulations by applying it to two typical chaotic systems, which one is a Duffing-Van der Pol oscillator now being widely studied as a chaotic system, and the other is a 3-link underactuated gymnastic robot showing the chaotic behavior.

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