摘要
给出了对非线性动态系统做任意精度逼近的Volterra级数高阶核的全新估算方法并将其应用于涡喷发动机的转速控制上。该方法在核函数理论基础上,构造线性空间,将求解Volterra级数各阶核的问题转化为求输出观测向量在希尔伯特空间中某一子空间上的投影的问题,使原本复杂的非线性系统的Volterra级数的逼近问题在线性空间中以向量内积的方式得到解决。与其他时域或频域估算Volterra核的方法相比较,该算法的优点在于理论体系严密、计算量不随阶数增高而成几何级数增加、辨识精度高。该方法理论上能够估算任意阶核,弥补了现有方法难以估算四阶以上核的缺点,可应用于动态系统和强非线性系统的建模。将发动机动态过程描述为四阶的Volterra级数模型。
In this paper,a novel method to identify Volterra kernels of nonlinearly dynamical systems is proposed, The new notions introduced here developed an implementation of accurate and efficient nonparametric algorithm for the identification of Volterra series of orders up to arbitrary degrees. The model of aeroturbine is constructed using Volterra series. It is demonstrated that the speed of the turbine can be controlled by nonlinear model.
出处
《火力与指挥控制》
CSCD
北大核心
2010年第3期102-105,113,共5页
Fire Control & Command Control
