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Identification of a Duffing Oscillator under Different Types of Excitation

机译:不同激励类型下的达芬振子的辨识

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摘要

In many engineering applications the dynamics may significantly be affected by nonlinear effects, which must be accounted for in order to accurately understand and robustly model the dynamics. From a practical point of view, it is very important to solve the inverse problem related to system identification and output prediction. In this paper the recently developed Nonlinear Subspace Identification (NSI) method is presented and applied to an oscillator described by the Duffing equation, with different types of excitation including random forces, which are demonstrated to be very suitable for the identification process. The estimates of system parameters are excellent and, as a consequence, the behaviour of the system, including the jump phenomena, is reconstructed to a high level of fidelity. In addition, the possible memory limitations affecting the method are overcome by the development of a novel algorithm, based on a specific computation of the QR factorisation.
机译:在许多工程应用中,动力学可能会受到非线性影响的显着影响,必须对其加以考虑,以便准确地理解和可靠地对动力学进行建模。从实践的角度来看,解决与系统识别和输出预测有关的逆问题非常重要。在本文中,提出了最近开发的非线性子空间识别(NSI)方法,并将其应用于由Duffing方程描述的振荡器,具有不同类型的激励,包括随机力,被证明非常适合于识别过程。系统参数的估计非常好,因此,系统的行为(包括跳变现象)被重建到高保真度。此外,基于QR分解的特定计算,通过开发新颖的算法可以克服影响该方法的可能内存限制。

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  • 来源
    《Mathematical Problems in Engineering》 |2010年第speca期|p.7.1-7.15|共15页
  • 作者

    E. Gandino; S. Marchesiello;

  • 作者单位

    Dipnrtimento di Meccanica, Politecnico di Torino, Corso Duca degH Abruzzi 24,10129 Torino, Italy;

    Dipnrtimento di Meccanica, Politecnico di Torino, Corso Duca degH Abruzzi 24,10129 Torino, Italy;

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