An adaptive strategy for controlling chaotic system.

Yi-Jia Cao; Hong-Xian Hang

PubMed · 12765276

An adaptive strategy for controlling chaotic system.

Abstract

This paper presents an adaptive strategy for controlling chaotic systems. By employing the phase space reconstruction technique in nonlinear dynamical systems theory, the proposed strategy transforms the nonlinear system into canonical form, and employs a nonlinear observer to estimate the uncertainties and disturbances of the nonlinear system, and then establishes a state-error-like feedback law. The developed control scheme allows chaos control in spite of modeling errors and parametric variations. The effectiveness of the proposed approach has been demonstrated through its applications to two well-known chaotic systems: Duffing oscillator and Rössler chaos.

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Computer Simulation Feedback Motion Nonlinear Dynamics Oscillometry Periodicity Stochastic Processes Systems Theory Evaluation Study Journal Article Research Support, Non-U.S. Gov't Validation Study

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Yi-Jia Cao, Hong-Xian Hang. An adaptive strategy for controlling chaotic system.. https://pubmed.ncbi.nlm.nih.gov/12765276/

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