面向状态方程的精细时程积分数值仿真方法

摘要

对用状态空间方法表达的连续定常控制系统应用精细时程积分法进行了暂态响应的数值仿真研究，给出了仿真算法。从仿真实例中可以看到，两种步长下计算点处精细解在小数点后十二位数与解析解的数值结果相吻合，这表明用精细时程法仿真所得的结果是高度精确的，乃至比拟于解析解。该文中的仿真算法可应用于步长大范围变化且精度要求很高的一类控制系统数值仿真中。%The precise time integration method is applied to the numerical simulation of the transient response for continuous time-invariant control systems represented by state equations.A detailed algorithm is illustrated.The simulation example shows that the time integration results are nearly equal to the exact ones.This indicates that the algorithm is highly precise under a variable stepsize and suitable for control system numerical simulation.