New algorithm for three-moment control direct allocation

A new algorithm named "adjacent vertices searching algorithm" to solve the three-objective control allocation problem and enhance the efficiency of on-line computation was proposed. This algorithm modifies the old off-line computation by calculating the projection of the vertices in two-dimensional plane. In on-line computations, the algorithm searches the vertices close with the projection of the desired vector in two-dimensional plane and sorts them by the angle between the vertex and the desired vector. By checking the facets containing the adjacent vertices, the facet intersecting with the desired vector and the intersection will be found. The simulation shows that the algorithm will add the off-line computation a little, but can reduce the searching time on-line and enhance the ability of real time application.