论文标题
柔性机器人技术引起的高阶PDE系统的边界稳定
Boundary stabilization of systems of high order PDEs arising from flexible robotics
论文作者
论文摘要
研究了通过边界控制稳定耦合PDE的系统的问题。考虑的设置来自经典的Euler-Bernoulli梁模型，构成了柔性机械系统的概括。提出了一个线性反馈控制器，并使用基于操作员半群理论的抽象公式，我们能够证明封闭环系统的适合度和稳定性。通过数值模拟说明了所提出的控制器的性能。
The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of flexible mechanical systems. A linear feedback controller is proposed, and using an abstract formulation based on operator semigroup theory, we are able to prove the well-posedness and the stability of the closed-loop system. The performances of the proposed controller are illustrated by means of numerical simulations.
