胞映射搜索最优控制路径的新策略  

New Approach for Searching Optimal Control Path by Cell Mapping

作　　者：谢勇[1] 徐健学[1] 江俊[1] 

机构地区：[1]西安交通大学,西安710049

出　　处：《应用力学学报》2003年第4期19-23,共5页Chinese Journal of Applied Mechanics

摘　　要：在胞映射求解最优控制问题的现有方法的基础上 ,提出了一种利用胞映射搜索最优控制路径的新策略。该策略基于负步长逆向数值积分技巧 ,采用了一种新的搜索过程 ,使得求解问题的效率大为提高。同现有的方法相比 ,新策略节省了几倍 ,甚至十几倍的时间。而且计算结果可靠 ,有很强的工程应用价值 。Based on existing methods for solving the problem of optimal control with the aid of cell mapping, a new approach is proposed for searching optimal control path. Such an approach is established through the agency of the skill of a negative steplength and reverse numerical integration. The efficiency of solving the problem of optimal control can be improved greatly by virtue of this new approach, particularly, for some systems with the uncontrollable field or a large-scale cell space. Compared with Hsu's method, our approach can save time so much as one order of magnitude, moreover, the computed result is reliable. Consequently, this new approach can be a powerful tool for solving the optimal control in engineering application. It is believed that it can be potentially applied to high-dimension optimal control systems.

关 键 词：胞映射 最优控制 动态规划 非线性动力系统 负步长 逆向数值积分 

分 类 号：TP273.1[自动化与计算机技术—检测技术与自动化装置] O322[自动化与计算机技术—控制科学与工程]