可调数值积分及其应用

ADJUSTABLE NUMERICAL INTEGRATION AND ITS APPLICATION

数字积分解的精度通常与积分步长成反比,即步长越小,解的精度越高。但是,在实时仿真及数字控制中,步长必须足够大,以使计算机能实时地做完它所需的计算。本文由采样数据入手,用连续过程离散近似综合方法加再现补偿,导出低阶、高精度可调相位-增益数值积分。这种可调数值积分器可以通过调节相位-增益使得在大步长时保持高精度。因此,这种可调积分器在实时仿真及数字控制中将非常有用。

The solution accuracy of numerical integrator is inversely proportional tothe power of the step size for numerical integration,i.e.the smaller the stepsize,the higher accuracy solution is obtained.But,in real time simulationand digital control the step size must be large enough so that the computercan complete the required computations for each integration step withinreal-time constraint.In this paper,based on sampling data,the numericalintegrator with low order and high accuracy is introduced by discreteapproximate synthetical method and reconstruction compensation of continuousprocess.Its gain and phase is adjustable.The high accuracy is obtained byadjusting phase and gain in the large step size for this adjustable numericalintegrator.Therefore,this adjustable integrator is useful for real-timesimulation and digital control.