一类线性离散广义系统最优预见控制器设计  

Design of Optimal Preview Controller for a Class of Linear Discrete Singular Systems

作　　者：廖福成[1] 张莹[1] 顾则全[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：《控制工程》2009年第3期299-303,共5页Control Engineering of China

基　　金：国家自然科学基金资助项目(10671011)

摘　　要：提出一类广义线性离散系统的预见控制问题。首先,利用差分算子构造扩大误差系统,然后通过引入一些恒等式,把可预见的目标信号的差分也包含在扩大误差系统的状态向量中,把所考虑的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。由熟知的广义系统最优控制理论的结论,得到广义系统的带有预见作用的控制器。对扩大误差系统的R-能稳性和能检测性进行了详细讨论。A preview controller design method for a class of singular discrete-time linear systems is presented. By using the difference operator, a so-called extending error systemcan is obtained. Then by using the discrete-lifting technique, an augmented system is constructed. The state vector of the augmented system includes the desired output signal, and the problem is changed into an usual optimal control problem of singular discrete-time linear systems. The standard discrete-time linear optimal control method is applied to the augmented system, and an controller with preview action of the singular system is obtained. The R-stabilizability and detectability of the augmented system are also disscused.

关 键 词：离散广义线性系统 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]