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本文从带干扰的线性微分方程组出发,通过对离散化方法的分析,得到了相应的规范形差分方程.若系统i)采样周期趋于零或静态增益等于单位阵(或经变换后),ii)或者采样周期满足0<Δt/T_(min)≤0.2(T_(min)为系统最小时间常数),静态增益在单位阵附近,则差分方程i)所有系数矩阵之和趋于单位阵,ii)系统参数范围能够具体确定,并受计算机系统采样率控制,可以事先知道.从而可以实现快速参数辨识,减少计算量和运算次数;还可以实现全部参数阵在线辨识的自校正控制.
In this paper, starting from the system of linear differential equations with disturbance, we obtain the corresponding canonical form difference equations by analyzing the discretization method.If the sampling period of system i tends to zero or the static gain is equal to the unit matrix (or transformed) ii) If the sampling period satisfies 0 <Δt / T_min ≤ 0.2 (T_ (min) is the minimum system time constant) and the static gain is in the vicinity of the unit matrix, then the difference equation i) The sum of all the coefficient matrices tends to be unit- ii) The range of system parameters can be specifically determined and controlled by the sampling rate of the computer system, which can be known in advance, so that rapid parameter identification can be realized, the amount of calculation and operation times can be reduced, and the self-tuning control of on-line identification of all parameter arrays can also be realized.