Periodic Intermittent Control for Linear Stochastic Systems

本文针对不稳定线性随机系统，研究了周期性间歇控制策略，能够有效地抑制随机干扰，使得受控系统满足稳定性要求。运用Lyapunov函数和伊藤公式，给出了间歇控制作用下闭环系统均方指数稳定的两类充分性条件。这些条件用线性矩阵不等式(LMI)表达，以方便地进行控制器设计。最后，通过一个数值例子说明了本文理论的有效性。This paper focuses on unstable linear stochastic systems and studies the periodic intermittent control strategy, which can effectively suppress random disturbances and ensure that the controlled system meets the stability requirements. By using Lyapunov function and Itô formula, two types of sufficiency conditions for the mean-square exponential stability of the closed-loop system under intermittent control are presented. These conditions are expressed in terms of linear matrix inequalities (LMIs) to facilitate controller design. Finally, a numerical example is provided to illustrate the effectiveness of the theoretical results in this paper.