全面解决一类二阶LQ最佳控制问题

COMPLETE SOLVING A KIND OF 2TH-0RDER LQ OPTINUM CONTROL PROBLEM

本文对一类二阶LQ最佳控制问题(规定终点(0,0),积分时间有限),按其特征根可能的全部四种情况,分别给出一般的最小损失函数、最佳控制和系统最佳运行的解析表达式。

In this paper, the general and analytical representations of the mininum-loss function, the optinum control and the optinum system operation of a kind of 2th-order LQ optinum control problem (the terminal point given at (0,0), the integral interval finite) are respectively given corresponding to each of all the four possible states of the characteristic roots of the optinum control problem.