Principal whitened gradient-projection algorithm for distribution control

查看全文 作　　者：ZHANG [1,2]ShiCheng;Sun [2]HuaFei;LI [2]ChunHui 机构地区：[1]School of Mathematics,Xuzhou Normal University;[2]Department of Mathematics,Beijing Institute of Technology 出　　处：《Science China(Information Sciences)》索引2013年第56卷第3期,共8页 基　　金：supported by National Natural Science Foundation of China (Grant Nos. 10871218,10932002);Natural Science Foundation of Xuzhou Normal University (Grant No. 08XLB02) 摘　　要：In this paper,we use an information geometric algorithm to solve the distribution control problem.The new designed algorithm is called principal whitened gradient-projection algorithm.In the principal natural gradient step,we use principal whitened gradient algorithm to obtain an optimal trajectory of the weight vector on the B-spline manifold from the viewpoint of information geometry.In the projection step,we project the selected points on B onto M.The coordinates of the projections on M give the trajectory of the control input u. 关 键 词：梯度投影算法 控制问题 分配 白化 几何算法 自然梯度 B-样条 梯度算法