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.
出处
《控制与决策》
EI
CSCD
北大核心
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)
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
input time-delay
time-varying discrete system
augmented error system
optimal control
preview control
