新的双线性离散系统分析及参数估计方法
A New Method for the Analysis and Parameter Estimation of Discrete Bilinear Systems
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摘要: 定义了增广离散脉冲正交函数矩阵,证明了它的换位法则和乘法公式,提出了一种新的双线性离散系统的分析和参数估计方法,可将原来的差分方程化为代数方程,使计算简化。仿真实例证明了它的有效性。本方法可进一步推广到时变系统,或用于数字调节器的设计。Abstract: Two important rules of the discrete pulse orthogonal function (DPOF) matrix are derived and a new approach to the analysis and parameter estimation of discrete bilinear system is proposed. The new method can convert a difference equation into an algebraic equation, thus simplifying the calculating procedure. Simulation studies show that the method is effective.