论文标题
间歇性数据可用性下的库拉莫托 - 西瓦辛斯基方程的边界控制：带有证据
Boundary Control of the Kuramoto-Sivashinsky Equation Under Intermittent Data Availability: With Proofs
论文作者
论文摘要
在本文中，提出了两个边界控制器来稳定在间歇测量下的非线性kuramoto-sivashinsky方程的起源。更确切地说，空间结构域分为两个子域。第一个子域上的系统状态沿给定的时间间隔测量，其余子域上的状态沿另一个时间间隔进行测量。在提出的传感方案下，我们通过在三个孤立的空间点上设计状态的值来控制所考虑的方程，这是空间域的两个末端加一个内部点。此外，我们在这三个位置对状态的空间梯度施加了零值。在这样的控制循环下，我们提出了两种类型的控制器，并在每种情况下分析了所得闭环系统的稳定性。本文以一些讨论和未来的作品结束。
In this paper, two boundary controllers are proposed to stabilize the origin of the nonlinear Kuramoto-Sivashinsky equation under intermittent measurements. More precisely, the spatial domain is divided into two sub-domains. The state of the system on the first sub-domain is measured along a given interval of time, and the state on the remaining sub-domain is measured along another interval of time. Under the proposed sensing scenario, we control the considered equation by designing the value of the state at three isolated spatial points, the two extremities of the spatial domain plus one inside point. Furthermore, we impose a null value for the spatial gradient of the state at these three locations. Under such a control loop, we propose two types of controllers and we analyze the stability of the resulting closed-loop system in each case. The paper is concluded with some discussions and future works.
