| 引用本文: | 王秀峰，李 波.利用移位勒让德多项式对时变双线性系统的辨识[J].控制理论与应用,1992,9(5):537~544.[点击复制] |
| WANG Xiufeng and LI Bo.Parameter Identification of the Time-Varying Bilinear System via Shifted Legendre Polynomials[J].Control Theory and Technology,1992,9(5):537~544.[点击复制] |
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| 利用移位勒让德多项式对时变双线性系统的辨识 |
| Parameter Identification of the Time-Varying Bilinear System via Shifted Legendre Polynomials |
| 摘要点击 1659 全文点击 473 投稿时间：1991-02-01 修订日期：1991-09-20 |
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| DOI编号 |
| 1992,9(5):537-544 |
| 中文关键词 系统辨识 双线性系统 勒让德多项式 |
| 英文关键词 system identitication bilinear system Legendre polynomial |
| 基金项目 |
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| 中文摘要 |
| 本文提出了利用移位勒让德（Shifted Legendre）多项式辨识时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。 |
| 英文摘要 |
| A method of parameter identification of the time-varying bilinear system 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. |