Research on allocation efficiency of the redistributed pseudo inverse algorithm  

作　　者：SHI JingPing , ZHANG WeiGuo, LI GuangWen & LIU XiaoXiong School of Automation, Northwestern Polytechnical University, Xi’an 710072, China 

出　　处：《Science China(Information Sciences)》2010年第2期271-277,共7页中国科学（信息科学）（英文版）

基　　金：supported by the National High-Tech Research & Development Program of China (Grant No.2007AA01Z297);the National "Eleventh Five-year" Project of China (Grant No. 1320061262);the National Natural Science Foundation of China (Grant Nos. 60773137, 60573112)

摘　　要：Allocation efficiency is an important performance index to measure the quality of the allocation algorithm. In order to compute the efficiency, the volume of the subset of attainable moments must be solved. The efficiency of the redistributed pseudo inverse （RPI） algorithm depends on the choice of the pseudo-inverse matrix. The subset of attainable moments of RPI is a complex non-convex polyhedron. By analyzing twodimensional and three-dimensional allocation problems with a ＂micro-element＂ method, here we propose an approximate calculation algorithm to compute the volume of the non-convex polyhedron. In order to improve the allocation efficiency of RPI, genetic algorithm is used to find the best pseudo-inverse matrix. The simulation results show that the best pseudo-inverse matrix can be easily chosen by the proposed method and the high allocation efficiency is achieved.Allocation efficiency is an important performance index to measure the quality of the allocation algorithm. In order to compute the efficiency, the volume of the subset of attainable moments must be solved. The efficiency of the redistributed pseudo inverse （RPI） algorithm depends on the choice of the pseudo-inverse matrix. The subset of attainable moments of RPI is a complex non-convex polyhedron. By analyzing twodimensional and three-dimensional allocation problems with a ＂micro-element＂ method, here we propose an approximate calculation algorithm to compute the volume of the non-convex polyhedron. In order to improve the allocation efficiency of RPI, genetic algorithm is used to find the best pseudo-inverse matrix. The simulation results show that the best pseudo-inverse matrix can be easily chosen by the proposed method and the high allocation efficiency is achieved.

关 键 词：control allocation redistributed pseudo inverse genetic algorithm allocation efficiency 

分 类 号：V219[航空宇航科学与技术—航空宇航推进理论与工程]