论文标题
系统标识工具箱中的传输功能估计通过向量拟合
Transfer Function Estimation in System Identification Toolbox via Vector Fitting
论文作者
论文摘要
本文考虑了频率响应测量值的黑色和灰色连续时间传输函数估计。第一个贡献是将原始问题从假想轴到unitdisk的双线性映射。这改善了基本的Sanathanan-Koerner迭代和最新的乐器变量迭代的数字。利用了单位磁盘上的正交理性基础函数。每个迭代步骤都需要使用这些基础函数实现最小的状态空间。这样的推导是第二个贡献。具有这些基础功能的系统识别产生了零极的模型。第三个贡献是一种有效的方法，是根据正统理性基础函数表达传输函数系数约束的。这允许估计具有任意相对程度（包括不正确模型）的传输函数模型，以及其他固定和有界参数值。该算法在系统标识工具箱中的TFEST函数中实现（发布2016b，用于MATLAB）用于频域数据。举了两个示例以证明算法性能。
This paper considers black- and grey-box continuous-time transfer function estimation from frequency response measurements. The first contribution is a bilinear mapping of the original problem from the imaginary axis onto the unitdisk. This improves the numerics of the underlying Sanathanan-Koerner iterations and the more recent instrumental-variable iterations. Orthonormal rational basis functions on the unit disk are utilized. Each iteration step necessitates a minimal state-space realization with these basis functions. One such derivation is the second contribution. System identification with these basis functions yield zero-pole-gain models. The third contribution is an efficient method to express transfer function coefficient constraints in terms of the orthonormal rational basis functions. This allows for estimating transfer function models with arbitrary relative degrees (including improper models), along with other fixed and bounded parameter values. The algorithm is implemented in the tfest function in System Identification Toolbox (Release 2016b, for use with MATLAB) for frequency domain data. Two examples are presented to demonstrate the algorithm performance.
