【摘要】 讨论了混合降阶H2/H∞控制器的设计问题,提出了应用遗传算法设计混合降阶H2/H∞控制器的一种方法.通过遗传算法对次优H∞降阶控制器进行H2性能优化,设计出鲁棒性既强又满足系统性能要求的混合降阶H2/H∞控制器.它分别在H∞降阶和H2性能优化中两次应用遗传算法,遗传算法采用实数编码形式,其算子分别选用排序选择和最佳个体保存相结合的选择算子、实值中间重组的交叉算子及实值变异的变异算子.利用国产某型飞机对该方法进行仿真,其结果表明得到的混合降阶H2/H∞控制器具有良好的H∞性能和H2性能.更多还原

【Abstract】 The problem of mixed reduced-order H₂/H_∞ controller design is discussed. A general approach is proposed to design mixed reduced-order H₂/H_∞ controllers by genetic algorithms. The mixed reduced-order H₂/H_∞ controllers with better robustness and system performance are designed through the way that H_∞ controllers are H₂ optimized by GA. GA is used twice in reduced-order H_∞ control and H₂ optimization. In the used GA, the code is float, the selection operator is rank-based fitness assignment and elitist model, the crossover operator is real valued recombination, the mutation operator is real mutation, and the fitness has penalty constraints. The simulation results show that mixed reduced-order H₂/H_∞ controllers have not only better H_∞ performance but also better H₂ performance.更多还原