实时仿真Runge-Kutta算法的误差分析

进行实时仿真时必须采用相应的实时仿真算法,而实时Runge-Kutta算法在实时仿真中得到了广泛的应用.在使用Runge-Kutta算法进行实时数字仿真时,一方面对实时Runge-Kutta算法的截断误差进行计算,构造出实用的实时Runge-Kutta算法;另一方面还要对其误差进行估计,对误差的大小进行分析,以便对实时RK算法定步长进行合适的选择,使此时定步长仿真下的误差能满足精度要求和稳定性要求,而且能够达到实时仿真计算速度的要求.仿真结果表明,该误差分析方法简单方便有效.

Error Analysis of Runge-Kutta Algorithm for Real-time Simulation

Real-time simulation needs the relevant real-time simulation algorithm.The real-time Runge-Kutta algorithm is applied widely in real-time simulation.When using the Runge-Kutta algorithm in the real-time digital simulation,on the one hand the truncation error of the real-time Runge-Kutta algorithm must be calculated to construct a practical real-time Runge-Kutta algorithm.On the other hand the error must be estimated and the error size must be analyzed,in order to properly select the fixed step-size of real-time RK algorithm,thus making this error of the fixed step-size simulation to be able to meet the requirements of precision,stability and computation speed of the real-time simulation.The simulation results show that this error analysis method has high efficiency and accuracy.