摘要
利用 Volterra泛函级数描述非线性系统 ,将非线性系统辨识问题转化为标准的最小二乘问题 ,并通过 QR分解进行求解。在对输入矩阵 P进行 Householder变换过程中 ,提出利用输入向量对输出向量的影响因子进行 P阵的列选择 ,同时完成模型辨识 ,有效地克服了 Volterra泛函级数辨识中维数灾难问题。
By applying the Volterra series to describe the nonlinear system, the identification problem of nonlinear system is transformed into a normal least mean squares problem, which can be solved by QR decomposition. In the process of decomposing the input matrix by the Householder transformation by using of an effect factor between the input vector and the output vector, the selection of row vectors in the input matrix is processed, as well as the structure identification of system is presented, which overcomes the dimension disaster in the identification of Volterra series. The algorithm is validated by the simulation results.
出处
《控制与决策》
EI
CSCD
北大核心
2002年第2期239-242,共4页
Control and Decision
