Riccati方程的降阶与广义系统的最优预见控制  

Reduced order of the Riccati equation and optimal preview control of singular systems

作　　者：廖福成[1] 张志刚[1] 张莹[1] 

机构地区：[1]北京科技大学应用科学学院,北京100083

出　　处：《北京科技大学学报》2009年第4期520-524,共5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：研究了一类广义离散时间线性系统的预见控制问题.首先通过对系统方程,误差向量和可预见的目标值信号取差分,构造出一个扩大误差系统,把广义系统的预见控制问题转化为一个形式上的普通广义系统的控制问题.然后利用广义系统最优控制理论的结果,得到广义系统的带有预见前馈补偿的控制器.同时通过详细推导,把一个阶数很高的矩阵Riccati方程降为一个阶数很低的Riccati方程,从而使闭环系统可以实现.A preview control problem of a generalized discrete-time linear system was studied. First an extending error system was constructed by applying the difference method to the system equation, the error vector and the objective value signal. This converts the problem from a preview control problem of an extending system to a common control problem in analysis. Then, using the result of the optimal control theory of the generalized system, a controller with preview action of the generalized system was got. Also, a matrix Riccati equation was converted by decreasing its rank, which enables the closed-circular system.

关 键 词：广义离散线性系统 误差系统 差分 最优预见控制 RICCATI方程 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]