伪谱法求解非光滑最优控制问题的网格优化  

Optimal mesh segmentation algorithm for pseudospectral methods for non-smooth optimal control problems

作　　者：刘渊博[1] 朱恒伟[1] 黄小念[1] 郑钢铁[1] 

机构地区：[1]清华大学航天航空学院,北京100084

出　　处：《系统工程与电子技术》2013年第11期2396-2399,共4页Systems Engineering and Electronics

摘　　要：伪谱法在求解非光滑最优控制问题时往往需要在迭代计算过程中进行网格优化,以提高对非光滑问题的适应性。针对现有网格优化方法中分段点收敛至不光滑点速度较慢的问题,提出了分段点最佳化的思想,即将分段点作为设计变量,根据误差曲线确定最佳分段点可能存在的区间,由求解器确定最佳的分段点位置,从而提高分段点收敛至不光滑点的速度。算例表明,分段点最佳化的网格优化算法能较大程度地提高伪谱法对非光滑最优控制问题的求解效率。A mesh refinement algorithm is usually involved to improve the adapt pseudospectral methods to solve non-smooth optimal control problems. To increase the rate points converging to the practical non-smooth points, an optimal mesh segmentation method existing mesh refinement algorithm. With the proposed method, breakpoints are taken as given intervals determined according to the error estimate, and delivered to the numerical mined. A numerical example illustrates that the optimal mesh segmentation method can eff： ability when using of the mesh break- is introduced to the variables located in solver to be deter- ciently improve the

关 键 词：最优控制 网格优化 伪谱法 分段点最佳化 

分 类 号：O232[理学—运筹学与控制论]