一类具有输入时滞的时变离散系统的预见控制  

Preview control for a class of time-varying discrete systems with input time-delay

作　　者：徐玉洁[1,2] 廖福成[2] 

机构地区：[1]北京科技大学自动化学院,北京100083 [2]北京科技大学数理学院,北京100083

出　　处：《控制与决策》2013年第3期466-470,共5页Control and Decision

基　　金：国家自然科学基金项目(61174209);内蒙古自治区科技创新引导奖励资金项目(2012)

摘　　要：针对一类具有输入时滞的时变离散系统,研究其预见控制问题.利用差分算子的性质,对系统的输入时滞项和目标信号进行差分处理,构造包含目标信号但不含时滞的扩大误差系统.基于最优控制和预见控制的相关理论,得到了扩大误差系统带有预见前馈补偿的控制器.进一步,利用矩阵分解方法,将高阶Riccati方程进行降阶处理,从而得到原时滞系统的预见控制器.最后通过仿真实例验证了所提出方法的有效性.The optimal preview control for a class of time-varying discrete systems with input time-delay is studied. The property of difference operator is used to differentiate the input time-delay and the desired previewable tracking. Then an augmented error system is constructed, which contains the desiredpreviewable tracking, but not the input time-delay. Based on the related results from optimal control theory and preview control theory, a controller with preview feed-forward compensation is designed for the augmented error system. The high-order Riccati equation is transformed into a lower-order one with some manipulation of matrix partitioning. And the preview controller for the original system is obtained. Finally, simulation results show the effectiveness of the proposed method.

关 键 词：输入时滞 时变离散系统 扩大误差系统 最优控制 预见控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]