同期カオスによる非線形システムの同定 : 自動同期によるパラメトリック同定

概要

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This paper studies a practical method for parametric identification of one degree of freedom forced Duffing system by the chaotic autosynchronization. Our previous paper discussed a method evaluating modeling errors of a chaotic system by the chaotic synchronization and showed that the proposed index approaches its minimal value as a modeling error reaches zero. The next step of our approach is to develop a practical method to obtain a model which synchronizes with a target chaotic system (consequently becomes identical to the target system). To achieve this, we develop an application of an autosynchronizing chaotic system. The basic theory of our method have been developed by Parlitz. However, his work dealt only with an autonomous system such as Lorenz system, which rarely arises in mechanical vibration problems. First, we develop a method constructing an autosynchronizing system for a parametric identification of mechanical vibration systems. We then perform a parametric identification of the forced Duffing system by the autosynchronizing system. The precise values of system parameters of the forced Duffing system are dynamically estimated even if these parameters are time-varying.
1998-09-25