The aero-engine is the power system and the most important part of the aircraft. The transient performance of aero-engine plays an essential role in the maneuverability of aircraft. An optimal transient control schedule can improve the transient performance subjected to each constraint. However, the design optimization of the aero-engine transient control schedule is a highly constrained and nonlinear optimization problem. Therefore, it is extremely challenging to design an optimal aero-engine transient control schedule. In this paper, a new mathematical optimization formulation of the aero-engine transient control schedule design problem is proposed to reduce the optimization difficulty. Meanwhile, the optimization algorithm assisted by the ensemble radial basis function (RBF) model is used to solve the optimization problem. Moreover, a cascade optimization strategy is proposed to improve the optimization performance. An optimization example of a mix-flow turbofan transient control schedule design is used to prove that the proposed algorithm can find the global optimal solution region, and the proposed cascade optimization strategy can further improve the solution accuracy.

航空发动机是动力系统，是飞机最重要的部分。航空发动机的瞬态性能在飞机的可操纵性中起着至关重要的作用。最佳的瞬态控制计划可以改善每个约束条件下的瞬态性能。然而，航空发动机瞬态控制时间表的设计优化是一个高度受限且非线性的优化问题。因此，设计最佳的航空发动机瞬态控制时间表是极富挑战性的。本文提出了一种新的航空发动机瞬态控制时间表设计问题的数学优化公式，以降低优化难度。同时，采用集成径向基函数（RBF）模型为基础的优化算法来解决优化问题。而且，提出了一种级联优化策略，以提高优化性能。以混合流涡扇暂态控制调度设计的优化实例为例，证明该算法能够找到全局最优解区域​​，并且该级联优化策略可以进一步提高求解精度。