ADAPTIVE FEEDFORWARD MODAL SPACE CONTROL
ADAPTIVE FEEDFORWARD MODAL SPACE CONTROL
复制标题
自适应前馈模态空间控制
DOI：
10.1121/1.408889
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发表时间：
1994
影响因子：
2.4
通讯作者：
R. Clark
中科院分区：
文献类型：
--
作者：
R. Clark
这项工作提出了一种基于混响系统的独立模态空间控制的实现自适应前馈控制的替代方法。多变量控制理论用于推导最佳前馈补偿器，并且当在模态坐标中构造误差传感器时，最佳补偿器减少到每个控制通道单个系数滤波器（假设参考信号可用）。如果控制输入也在模态坐标中实现，则控制系统被称为非交互，因为每种模式都彼此正交。自适应前馈模态空间控制非常适合实施时间平均梯度下降算法（例如牛顿法），因为最佳滤波器系数是通过算法的单次迭代获得的，并且对混响系统谐振频率的变化不敏感。在模态坐标中制定控制系统还清楚地说明了因果关系和非最小相位特性对任何自适应前馈控制系统最终性能的影响，无论是在物理坐标还是模态坐标中实现。
An alternative method of implementing adaptive feedforward control is presented in this work based upon independent modal space control of reverberant systems. Multivariable control theory is used to derive the optimal feedforward compensators, and when the error sensors are constructed in modal coordinates, the optimal compensators reduce to a single coefficient filter per control channel (assuming the reference signal is available). If the control inputs are also implemented in modal coordinates, then the control system is termed noninteracting since each mode is orthogonal to the other. Adaptive feedforward modal space control is ideal for implementation of time‐averaged gradient descent algorithms such as Newton’s method since the optimal filter coefficient is obtained from a single iteration of the algorithm, and is insensitive to changes in the resonant frequencies of the reverberant system. Formulating the control system in modal coordinates also clearly illustrates the effect of causality and nonminimum phase characteristics on the ultimate performance of any adaptive feedforward control system, whether it is implemented in physical coordinates or modal coordinates.