δ算子的LQR设计  

LQR DESIGN USING δ OPERATOR

作　　者：张平[1] 张立军[1] 高金源[1] 费玉华[1] 

机构地区：[1]北京航空航天大学305教研室,北京100083

出　　处：《信息与控制》1996年第2期88-93,共6页Information and Control

摘　　要：证明了在相同指标要求下δ离散域的反馈控制应完全等同于 Z 域的反馈控制,导出了δ域二次型最优解;证明了在相同加权下当采样周期 T→0时,δ域的最优增益趋近于连续域最优解,从而可以通过解连续域的 Riccati 方程直接得到离散控制律,δ域的闭环特性比 Z 域更接近连续域的闭环特性.并对几种方法进行了比较研究,验证了上述结论.This paper proved the feedback control of δ discrete domain is equal to that one of Z domain under the same closed-loop characteristics.The approximate solution of LQR design using δ operator is ob- tained.It is proved that when the sampling interval T→0 the optimal gain using δ operator approximates to that one of its continuous system under the same quadratic cost function and can be solved directly by the con- tinuous Riccati equation.The closed-loop characteristics of systems using δ operator are also more close to that ones of the continuous systems than using Z operator.An example is used to compare these methods and verify the above results.

关 键 词：离散控制 最优控制 Δ算子 LQR 

分 类 号：TP273.1[自动化与计算机技术—检测技术与自动化装置]