中文摘要：

针对航空发动机特性在一定范围内变化的特点，提出了基于遗传算法的混合H2／H∞控制；对H∞控制器采用遗传算法进行H2性能优化，从而设计出满足系统性能要求且鲁棒性强的混合H2／H∞状态反馈控制器；该方法采用排序选择、实数编码与最佳个体保存相结合的实值中间重组、选择算子的交叉算子和实值变异的变异算子，并将惩罚约束加到适应度函数中；通过对某型航空发动机进行控制仿真，结果表明所设计的混合H2／H∞控制器具有良好的H∞性能和H2性能，系统具有较好抗扰性能和动态响应性能。

英文摘要：

Aimed at aero--engine model uncertainty, the mixed H2/H∞ state robust control based on genetic algorithm was given. The mixed H2/H∞ state feedback controllers with robustness and better system performance are designed through making H∞ controllers have H2 optimization by GA also. In this method, The code was real value, the selection operator was rank--based fitness assignment and elitist mod- el, the crossover operator was real valued recombination, and the mutation operator was real mutation. The penalty constrain was added to the fitness function. On a certain type of aero--engine simulation, results showed that the mixed H2/H∞ controller had not only better H∞ performance but also H2 performance, the system has good disturbance rejeetion performance and dynamic response performance.