【摘要】 本文提出了利用移位勒让德(Shifted Legendrc)多项式辨识时变双线性系统的一个方法。首先,利用移位勒让德多项式展开和积分运算矩阵,把微分方程化为便于计算机计算的矩阵代数方程形式;然后解代数方程从而得到双线性系统未知时变参数的估计;最后给出了仿真例子。本文的方法不仅简化了计算,而且给出了相当精确的辨识结果。更多还原

【Abstract】 A method of parameter identification of the time-varying bilinear systems via shifted Legendre polynomials is presented. First, using the expansion of shifted Legendre polynomials and the operational matrix of integration, we transform the differential equations to a computationally convenient matrix-algebraic form; Then, this matrix algebraic equation is solved to determine the time-varying parameters of bilinear systems; Finally the simulated example is given and shows that identification results using the method in this paper are accurate enough.更多还原