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Stabilizing unstable periodic orbits of chaotic systems via an optimal principle

✍ Scribed by Yu-Ping Tian; Xinghuo Yu

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 159 KB
Volume: 337
Category: Article
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(00)00047-8

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✦ Synopsis

A novel time-delayed control method is proposed for stabilizing inherent unstable periodic orbits (UPOs) in chaotic systems. Differing from the commonly used linear time-delayed feedback control form, we adopt an optimal control principle for the design of the time delayed feedback control. We explore the inherent properties of chaotic systems and use the system states and time-delayed system states in forming a performance index so that when the index is minimized, the resulting controller enables stabilization of the desired UPOs. The effectiveness of the method is confirmed by computer simulations.

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