H_2／H_∞组合控制器的设计方法

Design Method of Mixed H_2/H_∞ Controller

用极大熵Ｈ＿∞的理论解决了Ｈ＿２／Ｈ＿∞组合控制器的设计问题．Ｈ＿２最优控制系统具有许多优良特性，但鲁棒性较差；与之相反，Ｈ＿∞最优控制较好地解决了系统的鲁棒性问题，但动态品质一般较差．Ｈ＿２／Ｈ＿∞组合优化理论将二者结合起来，很好地解决了鲁棒稳定性和动态品质之间的矛盾．针对水轮机调速系统设计了控制器，并对参数结构及负荷发生变化时的各种情况作了仿真研究．结果表明本文设计的控制器鲁棒性能和动态品质均比常规ＰＩＤ控制器好．

he mixed controller with H_2/H_∞ is designed using the maximum entropy H_∞theory. The well known H_2 optimal control system has many good features, but worse ro-bustness. On the other hand. H_∞ optimal control theory does well with the robustness of a system,but behaves usually worse dynamicaly. Mixed H_2/H_∞ optimal control theory well re-solves the contradictory between the robust stability and the dynamic performance of a sys-tem. A controller is designed for the governing system of a hydraulic turbine. Computer sim-ulation is conducted for different configuration parameters and load varging operation regimeof the turbine.The results show that the robustness and dynamic behovior of the mixed H_2/N_∞ controller are both better than those of the classical PID controller.