间断动力学系统实时仿真的分段组合算法  

Piecewise Combining Algorithm for Real-time Simulation of Dynamic Systems with Discontinuities

作　　者：黄振全[1] 蒋珉[2] 陈志武[1] 

机构地区：[1]桂林空军学院,桂林541003 [2]东南大学自动化研究所,南京210096

出　　处：《系统仿真学报》2007年第21期4881-4883,4888,共4页Journal of System Simulation

基　　金：高等学校博士学科点专项科研基金(20040286012)

摘　　要：对于含有间断动力学系统的实时仿真问题,由于间断点的不确定性和实时仿真的快速性,无法直接采用定步长和变步长RK方法以及一般非实时间断仿真算法进行处理。针对间断点采用四阶实时连续RK公式进行预估和对间断区间进行平均分段处理的思想,构造并且研究了实时间断处理的分段组合算法。在含间断点的分段区间上采用新的加权值法,其余分段区间应用不同阶次的实时RK公式,可以有效地提高实时仿真的精度。数值实验的结果表明该算法是有效可行的。As the discontinuous points are always uncertain in the simulation of dynamic systems with discontinuities and the quickness is necessary for real-time simulation, it is unsuitable to use RK methods with fixed step-size or variable step-size, and some other algorithms for discontinuity treating in non-real-time simulation. To forecast discontinuous points with the fourth order real-time continuous RK formula and to deal with averagely discontinuous regions, a piecewise combining algorithm for real-timely treating discontinuities was proposed. In the subsection regions containing discontinuous points, a new weighting method was applied, while in the others not containing discontinuous points real-time RK formulae with different orders were used, the accuracy of real-time simulat（on could be improved. The results of numerical experiments show that the algorithm is feasible and effective.

关 键 词：实时仿真 间断处理 分段组合算法 龙格-库塔公式 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]