应用对策理论的多目标气动优化设计

将经济学中的Nash均衡理论引入到气动优化设计中,探索一种新颖的处理互为冲突的多目标气动外形优化设计方法.基本的优化器为基于伴随方法的确定性优化算法,文中通过引入负反馈技术发展了约束最优控制理论,所有的约束条件都被自动的和隐含的满足.在对称Nash策略中,每一个优化器都力图优化自己的目标,而Nash平衡则提供了多个目标之间的一种妥协解.设计算例表明,文中的Nash竞争策略在多目标气动优化设计中是有效的.

MULTI-OBJECTIVE SHAPE DESIGN IN AERODYNAMICS USING GAME STRATEGY

Multi-objective optimization for the optimum shape design is introduced in aerodynamics using the Game theory. Based on the control theory, the employed optimizer and the negative feedback are used to implement the constraints. All the constraints are satisfied implicitly and automatically in the design. Furthermore,the above methodology is combined with a formulation derived from the Game theory to treat multi-point airfoil optimization. Airfoil shapes are optimized according to various aerodynamics criteria. In the symmetric Nash game, each "player" is responsible for one criterion, and the Nash equilibrium provides a solution to the multipoint optimization. Design results confirm the efficiency of the method.