论文标题
反稳定波方程的边界反馈控制
Boundary feedback control of an anti-stable wave equation
论文作者
论文摘要
我们讨论具有非线性抗阻尼边界条件的波方程的边界控制。我们设计结构化的有限维$ H_ \ infty $ - 输出反馈控制器，该控制器在封闭环中稳定无限尺寸系统。该方法用于控制钻探系统中的扭转振动，以避免滑动。
We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_\infty$-output feedback controllers which stabilize the infinite dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick.
