本文研究一类性能指标中没有能量项,且控制是受约束的线性二次型最优控制问题,证明了两个分别适用于状态矩阵为稳定阵和非稳定阵的定理。按照本文给出的结果,最优控制是开关型的,而且容易在实时控制中实现。 In this paper, there is no energy term in a kind of performance index, and the control is a constrained linear quadratic optimal control problem, and two theorems proved to be suitable for the state matrix are stable and unsteady. According to the results given in this article, the optimal control is on-off and easy to implement in real-time control.