基于LOMOGA的降阶H_∞控制器的设计

Designing the reduced-order H_∞ controller based on local orthogonal multi-objective genetic algorithm

针对降阶H∞多目标控制器的设计问题,本文提出了基于局部正交多目标遗传算法(LOMOGA)的降阶H∞控制器的设计方法。该方法结合局部正交优化和改进多目标遗传算法,解决了多目标遗传算法局部搜索能力较差的问题,达到了对H∞控制器的结构和参数同时优化的效果,提高了降阶H∞控制器的动态性能和鲁棒性能。仿真结果表明,该方法不仅具有较强的全局和局部搜索效率,而且搜索结果具有较高的精度、更好的分布均匀性和多样性。

A general approach is proposed to design the reduced-order H∞ controller using local orthogonal multi-objective genetic algorithm in this paper. We respectively introduce how to combine the location orthogonal optimization and the multi-objective genetic algorithm to overcome the poor local search ability of the multi-objective genetic algorithm. In addition,by simultaneously optimizing the structure and parameters of the H∞controller,the dynamic and robust performance is improved. Simulation results show that with the better capacity of global optimization and local search, the precise solutions which have good uniformity and diversity can be achieved.