低阶H_∞控制器设计的遗传算法方法

Low-order H_∞ Controller Design Using Genetic Algorithms

提出一种采用遗传算法求解非凸优化问题的方法 ,通过这种方法可搜索到 H∞ 控制器的最小阶次 k及相应的参数 (X,Y) ,进而设计出控制器。同已有的方法相比 ,所提出的方法是一种全局搜索方法。

A new numerical method for solving the non convex optimization problem using genetic algorithms is presented, by which the minimum oredr k of the H_∞ controller and a corresponding parameter pair (X,Y) can be effectively found. The obtained results are used to design a reduced order H ∞ controller. The proposed approach is a global search one.