中文摘要：

直接分配法是解决操纵面冗余飞行器控制分配的一种有效方法，但直接分配法只能对指定方向上误差最小目标进行优化，这种缺点限制了直接分配法的应用。零空间可以在保持转矩不变的前提下对控制量进行调节，利用这种特性，在三维转矩直接分配的基础上，通过对零空间坐标置进行数学规划可以使其他性能指标达到最优。推导证明，控制量最小问题和阻力最小问题分别可以转化为对坐标K的线性规划与二次规划问题。仿真结果表明，给出的基于零空间的改进直接分配法可以实现控制量最小和阻力最小控制分配。

英文摘要：

Direct allocation is an effective method to solve control surfaces redundancy problem. However it can only optimize the minimum target error in a specified direction, which limits the application of di- rect allocation. In this case, other performance can he optimized by mathematic programming in the null space coordinates after 3 dimension direct allocation. It is shown through derivation that minimum control problem and minimum drag problem can be transformed into linear programming problem and quadratic programming problem respectively. Simulation results show that the minimum drag problem and minimum control problem can be solved by the new direct allocation algorithm based on null- space proposed in the paper.