实时控制计算微分代数系统的代数约束算法  

Real Timing Controlly Computing DAE's Constraint Algebraic Algorithm

作　　者：罗新龙 宋晓秋 刘德贵 

机构地区：[1]航天工业总公司二院204所

出　　处：《系统工程与电子技术》1998年第12期66-71,共6页Systems Engineering and Electronics

摘　　要：本文结合实际的航天工程背景，针对飞行器轨道约束实时控制模型问题进行了算法研究。首先分析了ＢＤＦ方法用于飞行器轨道约束实时控制模型问题时的缺陷，其后针对实际问题的特点构造了具有三阶收敛的代数约束算法，分析了该算法的数值稳定性，并对潜地式弹道约束实时控制问题及指标（ｉｎｄｅｘ）为２的单摆模型问题进行了实际仿真计算，理论分析以及数值结果表明代数约束算法对指标为２的半显式微分代数系统的实时控制计算是非常有效的。Differential algebraic equations are arised naturally in many applied fields,but present numerical and analytical difficulties that have not appeared in ordinary differential equations occurred with DAE's because it includes algebraic constraint equations.Some efficient numerical methods for ODE's can not work well for DAE's.So many eminent numerical analytical scholars are interested in this field recently.But few numerical methods are able to solve all DAE's because of its essential difficulties. This paper discusses the problem of DAE's.We construct an efficient constraint algebraic algorithm for the semi explicit differential algebraic equations with index two and give the computational experiment results with specific examples.The experiment results indicate that constraint algebraic algorithm is high efficient for semi explicit differential algebraic equations with index two. [WT5”HZ〗

关 键 词：轨道控制 实时控制 算法 飞行器轨道 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程] V446.1