广义逆控制分配法无法实现对转矩可达集的完全分配,其分配效率取决于控制效率矩阵广义逆的选择.为了改善这一缺陷,文章对广义逆可达转矩集的几何构造、及其与广义逆阵的关系进行了研究,提出了一种基于转矩可达集裁剪设计的广义逆分配方法,该方法能够对期望方向、区域的可达转矩集进行广义逆裁剪设计,使分配系统根据飞机力矩的变化对控制系统的输出进行分配.利用某飞机的数据进行仿真,结果表明:文章提出的方法不仅可以避免现有方法因矩阵奇异而导致算法失效的缺点,而且基于遗传算法的广义逆求解结果对于可达转矩集的分配效率是最优的.%Generalized inverse allocation method can not solve the allocation problem for entire attainable moment subset ( AMS), and its allocation efficiency depends on the choice of the pseudo - inverses of the control effectiveness matrix. In order to suppress this defect and make the allocation system distribute the output of the controller according to the features of the flight envelope, a tailored method for generalized inverse is proposed. After studying the characteristics of the attainable moment subset of generalized inverse method and finding the relationships between the generalized inverse matrix and its moment subset, this method can give a tailored design for a desired moment subset in a given direction or region. Simulation results show preliminarily that: compared to the existing tailored method, this method can not only suppress the shortcomings of exiting algorithm caused by matrix singularity but also find the optimal solutions with high allocation efficiency.
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