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Recursive Nuclear Norm based Subspace Identification

机译:基于递归核范数的子空间识别

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Nuclear norm based subspace identification methods have recently gained importance due to their ability to find low rank solutions while maintaining accuracy through convex optimization. However, their heavy computational burden typically precludes the use in an online, recursive manner, such as may be required for adaptive control. This paper deals with the formulation of a recursive version of a nuclear norm based subspace identification method with an emphasis on reducing the computational complexity. The developed methodology is analyzed through simulations on Linear Time-Varying (LTV) systems particularly in terms of convergence rate, tracking speed and the accuracy of identification and it is shown to be computationally lighter and effective for such systems, with the considered rate of change of dynamics.
机译:基于核范数的子空间识别方法由于能够找到低秩解,同时通过凸优化保持精度而变得越来越重要。然而,它们的繁重的计算负担通常妨碍了以在线递归的方式使用,例如自适应控制可能需要的。本文讨论了基于核规范的子空间识别方法的递归版本的制定,重点是降低计算复杂性。通过在线性时变(LTV)系统上的仿真对所开发的方法进行了分析,特别是在收敛速度,跟踪速度和识别精度方面,并且在考虑了变化率的情况下,该方法在计算上更轻便有效。动力学。

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