Controlling multistability in a vibro-impact capsule system
Controlling multistability in a vibro-impact capsule system
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DOI：
10.1007/s11071-016-3310-3
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发表时间：
2017-04-01
影响因子：
5.6
通讯作者：
Paez Chavez, Joseph
中科院分区：
文献类型：
--
作者：
Liu, Yang;Paez Chavez, Joseph
这项工作涉及由谐波激励驱动的振动冲击胶囊系统的多稳定性控制。胶囊能够沿直线方向向前和向后移动，这项工作的主要目标是在存在多个共存周期解的情况下控制这种运动。本研究采用了位置反馈控制器，我们的数值研究表明，所提出的控制方法产生了具有两个共存解的动态场景，对应于向前和向后的进展。因此，可以通过适当扰动系统的初始条件来控制系统的运动方向，而无需改变系统参数。为了研究这种控制方法的鲁棒性，我们应用数值连续方法来识别参数空间中可以应用所提出的控制器的区域。为此，我们采用基于 MATLAB 的数值平台 COCO，它支持非光滑动力系统周期轨道的连续和分岔检测。
This work concerns the control of multistability in a vibro-impact capsule system driven by a harmonic excitation. The capsule is able to move forward and backward in a rectilinear direction, and the main objective of this work is to control such motion in the presence of multiple coexisting periodic solutions. A position feedback controller is employed in this study, and our numerical investigation demonstrates that the proposed control method gives rise to a dynamical scenario with two coexisting solutions, corresponding to forward and backward progression. Therefore, the motion direction of the system can be controlled by suitably perturbing its initial conditions, without altering the system parameters. To study the robustness of this control method, we apply numerical continuation methods in order to identify a region in the parameter space in which the proposed controller can be applied. For this purpose, we employ the MATLAB-based numerical platform COCO, which supports the continuation and bifurcation detection of periodic orbits of non-smooth dynamical systems.