利用提升-预估法设计离散时间时滞线性系统的预见控制器  

Design of preview controller for discrete-time linear systems with time delay by using the lifting-predictor method

作　　者：廖永龙 廖福成[1] LIAO Yong-long LIAO Fu-cheng(School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

机构地区：[1]北京科技大学数理学院,北京100083

出　　处：《控制与决策》2017年第8期1359-1367,共9页Control and Decision

基　　金：国家自然科学基金项目(61174209)

摘　　要：研究一类既有状态时滞又有输入时滞的离散时间线性系统的预见控制问题.分别使用离散提升技术和变量替换法将系统中的状态时滞和输入时滞消掉,得到一个无时滞的系统.在此基础上,使用预见控制理论和状态预估法得到一个带有状态时滞补偿、输入时滞补偿和参考信号预见补偿的控制器.针对不同的时滞使用不同的方法进行消除,有效地降低了增广系统的维数.最后,通过一个数值算例验证了所提出设计方法的有效性.The class of preview control problems of discrete-time linear systems with both state delay and input delay are studied. Discrete lifting technology and variable substitution method are applied to eliminate the state delay and input delay respectively, thus a delay-free system is obtained. On this basis, the preview control theory and the state predictor method are used to acquire a preview controller which is equipped with state delay＇s compensation, input delay＇s compensation and reference signal＇s preview compensation. Different time delays are eliminated by utilizing different methods, which can reduce the dimension of the augmented system effectively. Finally, a numerical example is given to show the effectiveness of the design method.

关 键 词：离散时间系统 状态时滞 输入时滞 预见控制 离散提升技术 状态预估 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]