三维输出PDF动态线性建模与控制器设计

Dynamic modeling and controller design for 3D output PDF based on 2D B-spline function

文章对动态系统的三维输出概率密度函数(PDF)进行了线性建模和控制器设计研究。首先选择合适的二维B样条函数,利用系统的输入输出数据通过递归最小二乘算法建立了基于二维B样条函数的三维输出PDF的线性动态模型;然后根据所建立的数学模型,选择跟踪性能指标,进行了控制器的设计;最后,选择动态输出分布系统,进行了动态系统三维输出PDF控制的仿真研究,仿真结果证实了控制算法的有效性。

Dynamic modeling and controller design for the three dimensional （3D） output probability density function （PDF） are studied in this paper. Through recursive least square algorithm, the dynamic model of 3D PDF is set up based on two dimensional （2D） B-spline basis function with output and input data of the system firstly, then a tracking performance index is chosen to design a controller based 3D PDF dynamic model, at last a dynamic output distribution system is constructed for simulation study, and the results verify the effectiveness of the presented controller.