用边界双继电器控制柔性绳索产生自激振动

L. Aguilar, Y. Orlov
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引用次数: 0

摘要

当绳子被困在物体表面或垃圾中时,它的自振可以帮助它解脱。在这里,我们引入了双继电器边界控制器来诱导柔性绳索或电缆的自振荡,作为双曲型偏微分方程进行控制。双继电器控制器被用于非线性常微分方程控制的周期运动系统。作为贡献,将双继电器控制器推广到一类偏微分方程。利用Lyapunov泛函证明了无自振的渐近稳定性。最后,我们给出了仿真结果来验证所提出的方法。
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Generation of Self-oscillation in a Flexible Rope using Boundary Two-Relay Controller
Self-oscillations on a rope may help to release it when stuck inside a surface or rubbish. Here, we introduced the two-relay boundary controller to induce self-oscillations in a flexible rope or cable, governed as a hyperbolic partial differential equation. The two-relay controller has been used to induce periodic motion systems governed by nonlinear ordinary differential equations. As a contribution, the two-relay controller was extended to a class of partial differential equations. The asymptotic stability, without self-oscillator, was proved by means of a Lyapunov functional. Finally, we presented simulation results validating the proposed methodology.
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