面向工程应用的数值积分法仿真实验

Numeric Integration Algorithm Emulation Experiment of Engineering Application

为了克服目前应用最为广泛的变步长的龙格库塔法仿真中存在计算量大、计算精度不能满足当今某些实际工程领域的要求。运用matlab编制数值积分法中的四阶龙格-库塔法仿真程序,对给定的状态空间系统模型进行了仿真研究,进一步提高了其仿真的速度与精度,并寻找出最佳仿真步长,以便在不无限地减小步长条件下达到较高的精度,从而得出一个较可靠的最佳仿真时间与仿真步长值,供分析实际工程系统的稳定性和应用性研究作参考使用。

In order to overcome the problem of the most widely used variable step runge kutta method existing in the simulation calculation, and calculation accuracy can not meet the requirements of some actual engineering field, this paper uses matlab numerical integral method of the fourth order runge-kutta method simulation program, gives state space system model simulation, and further improves the simulation speed and accuracy, and finds out the best simulation step, in order not to infinitely reduce step conditions to achieve higher precision, and obtain a more reliable simulation time and simulation step length valuable for analysis of actual engineering system stability and practical research.