Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems

ChengWang; TaoTang; DewangChen

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Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems

机译：一类参数线性多输入单输出输出误差系统的最小二乘和梯度迭代参数估计算法

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The identification of a class of linear-in-parameters multiple-input single-output systems is considered. By using the iterative search, a least-squares based iterative algorithm and a gradient based iterative algorithm are proposed. A nonlinear example is used to verify the effectiveness of the algorithms, and the simulation results show that the least-squares based iterative algorithm can produce more accurate parameter estimates than the gradient based iterative algorithm.

机译：考虑了一类参数线性多输入单输出系统的识别。通过使用迭代搜索，提出了基于最小二乘的迭代算法和基于梯度的迭代算法。通过一个非线性实例验证了算法的有效性，仿真结果表明，基于最小二乘的迭代算法比基于梯度的迭代算法可以产生更准确的参数估计。

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《Journal of applied mathematics》 |2014年第1期|共8页
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ChengWang; TaoTang; DewangChen;
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中图分类应用数学;
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1. Decomposition based least squares iterative estimation algorithm for two-input single-output output error systems [J] . Xianling Lu, Wenlin Shi, Wei Zhou Journal of the Franklin Institute . 2014,第12期

机译：两输入单输出输出误差系统的基于分解的最小二乘迭代估计算法
2. Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems [J] . Zhening Zhang, Feng Ding, Xinggao Liu Computers & mathematics with applications . 2011,第3期

机译：多变量输出误差移动平均系统的基于层次梯度的迭代参数估计算法
3. Recursive least squares estimation algorithm applied to a class of linear-in-parameters output error moving average systems [J] . Cheng Wang, Tao Tang Applied mathematics letters . 2014,第Null期

机译：递归最小二乘估计算法应用于一类参数线性输出误差移动平均系统
4. Convergence of the auxiliary model based stochastic gradient algorithm for multiple-input single-output systems [C] . Yuwu Liao, Yanjun Liu, Rui Feng Ding International Conference on Computer Engineering and Technology;ICCET 2010 . 2010

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5. Frequency Domain System Identification of Linear Time-Invariant Single-Input Single-Output 2-Dimensional Systems and Multi-Input Multi-Output 1-Dimensional Systems by Utilizing AFD Type Algorithms [D] . Wang, Xiaoyin. 2020

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7. Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems [O] . Cheng Wang, Tao Tang, Dewang Chen 2014

机译：基于基于和基于梯度的迭代参数估计算法，用于一类直线参数多输入单输出输出误差系统
8. Parallel Implementations of Gradient Based Iterative Algorithms for a Class of Discrete Optimal Control Problems [R] . Meyer, G. G., Podrazik, L. J. 1987

机译：一类离散最优控制问题的梯度迭代算法并行实现

Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems

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