一种新的时变双线性离散系统的分析及参数估计方法

A New Approach for Analysis and Parameter Estimation of Bilinear Time-varying Discrete Systems

本文首先讨论了离散正交脉冲的数及其性质,利用增广离散正交脉冲函数矩阵的换位公式和乘法公式,提出了一种新的时变双线性离散系统的分析和参数估计方法。这种方法,可将差分方程化为代数方程,从而使计算得到简化。实例说明了这种方法的有效性。

This paper discusses the properties of the discrete pulse orthog-nal functions (DPOFS) and defines a new operational matrix called expanded DPOF matrix. An approach for the analysis and parameter estimation of bilinear time-varying discrete system is established and two useful operational rules between expanded DPOF matrices are given. The DPOFs technique in discrete system problem is more convenient and straightforward than other approaches, By taking the new method, analysis and estimation problems of discrete bilinear systems are simplified to the solution of a set of simultaneous alge-baic equations. Two examples are given to illustrate the DPOF approach.