具有LMI区域极点约束的SWATH船纵向运动H_∞控制研究

针对SWATH船纵向运动系统自身存在的不确定性和外部扰动,本文建立了系统的数学模型,并利用LMI理论在处理多目标优化方面的优点,设计了具有区域极点约束的H∞控制器来改善系统的纵向运动性能。仿真结果表明,此控制方法不但对SWATH船所受到的随机海浪具有较好的抑制作用,而且能够使得闭环系统的暂态性能满足一定设计要求,能满足SWATH船在海洋中航行时的纵向运动性能要求。

Aiming at uncertainty and external disturbance of longitudinal motions system of SWATH,this paper establishes the mathematical model and uses the advantage of LMI method in dealing with multi-objective optimization problem,then designs the controller with regional pole placement to improve longitudinal motions performance of SWATH.According to the simulation results,this controller not only can restrain the disturbance of random ocean wave efficiently but also can make the instant state performance of system arrive at the design requirement.Therefore,it can satisfy longitudinal motions performance when SWATH ship navigates in the ocean.