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Adaptive nonlinear system control using robust and low-complexity coefficient estimation
Adaptive nonlinear system control using robust and low-complexity coefficient estimation
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机译:使用鲁棒和低复杂度系数估计的自适应非线性系统控制
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摘要
An adaptive controller for a nonlinear system includes a Volterra filter having a transfer function defined by P coefficients. The controller includes an alignment/compensation circuit, which aligns the input samples to the output samples of the nonlinear system. The controller generates a P×P matrix using at least one of input samples to, or output samples from the nonlinear system and normalizes each element of the P×P matrix using a respective normalization factor. The controller generates and solves a system of P linear equations from the P×P matrix and a P×1 matrix derived from input and output samples of the nonlinear system using Cholesky decomposition that may include Fast Inverse Square Root operations and forward backward elimination to generate P values. The controller multiplies each of the P values by an inverse of a respective one of the normalization factors to generate the P coefficients for the Volterra filter.
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