基于遗传算法的混合H_2/H_∞状态反馈控制器  

Mixed H_2/H_∞ state feedback controllers based on genetic (algorithm)

作　　者：潘伟[1] 王学勇[2] 井元伟[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004 [2]沈阳炮兵学院电子侦察系,辽宁沈阳110162

出　　处：《控制与决策》2005年第2期132-136,共5页Control and Decision

基　　金：国家自然科学基金项目(69974007);黑龙江省自然科学基金项目(F0318).

摘　　要：提出了应用遗传算法设计混合H2/H∞状态反馈控制器的一种方法.通过遗传算法对H∞控制器进行H2性能优化,从而设计出鲁棒性强并满足系统性能要求的混合H2/H∞状态反馈控制器.该方法采用实数编码、排序选择与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和实值变异的变异算子,并在适应度函数中添加惩罚约束.对国产某型飞机进行仿真,结果表明得到的混合H2/H∞状态反馈控制器具有良好的H∞性能和H2性能.A general approach is proposed to design mixed H2/H∞ state feedback controllers by genetic algorithms. The mixed H2/H∞ state feedback controllers with robustness and better system performance are designed through making H∞ controllers have H2 optimization by GA. In the method, the code is float, the selection operator is rank-based fitness assignment and elitist model, the crossover operator is real valued recombination, and the mutation operator is real mutation. The penalty constrain is added to the fitness function. The simulation results show that mixed H2/H∞ state-feedback controllers have not only better H∞ performance but also better H2 performance.

关 键 词：H2控制 H∞控制 混合H2/H∞状态反馈控制器 遗传算法 实值编码 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]