多变量连续系统离散化模型参数的近似估算

    Approximate Evaluation of Sampled Model Parameter Matrices for Multivariable Continuous-time System

    • 摘要: 在采样周期较小条件下,多变量线性动态系统的离散化模型参数主要取决于原连续模型中分母、分子多项式的前一、二项系数阵。据此,进一步导出了离散化模型参数阵的近似估算公式,这一结果可用于自校正类控制中对递推参数估计的初值进行恰当设定,以便在起动阶段即可取得良好的闭环响应。

       

      Abstract: This paper shows that, under the condition of relatively small sampling period, the parameter matrices in sampled model of a multivariable linear dynamic system are mainly related to the first one or two coefficient matrices in the denominator and numerator polynomials of the original continuous-time model. Thus, some simplified formulas approximating the sampled model parameter matrices are then derived. The result obtained is useful for properly setting the initial values of recursive parameter estimation in self-tuning-type control so as 16 get a satisfactory closed-loop system response even during start-up of the control.

       

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