带有状态时滞的多采样率线性离散时间系统的最优预见控制器设计  

Design of an optimal preview controller for a kind of discrete-time system with time-delay

作　　者：廖福成[1] 刘贺平[2] 

机构地区：[1]北京科技大学应用科学学院,北京100083 [2]北京科技大学信息工程学院,北京100083

出　　处：《北京科技大学学报》2008年第4期452-460,共9页Journal of University of Science and Technology Beijing

基　　金：国家自然科学基金资助项目(No.10671011)

摘　　要：研究了一类具有状态时滞的多采样率离散时间控制系统,对这类系统给出了一种最优预见控制器的设计方法.首先利用离散时间系统提升技术,把所研究的系统转化成单一采样的扩大系统;然后利用构造扩大误差系统的方法引入积分器;再对扩大误差系统应用通常的线性二次型最优预见伺服系统设计方法设计控制器,从而得到原系统的最优预见控制器.同时还对扩大误差系统的能控性和能观测性进行了讨论,并通过数值仿真说明了控制器的有效性.A kind of linear discrete-time system with state time-delay and multirate control setting was studied. By using the methods of lifting technique, difference operator and state vector augmentation, the state equation was changed to another equation with no time-delay. And the multirate preview control problem was reduced to the single-rate one which includes an integrator. The desired preview controller was obtained by the standard linear quadratic （LQ） optimal preview control theory. The applicability of the present results was verified by a numerical example.

关 键 词：预见控制 多采样率数字控制系统 离散提升技术 代数RICCATI方程 伺服系统 时滞系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]