双边约束的多自由度碰撞振动系统的控制方法

摘要

基于Lyapunov稳定性理论，分析了不对称双边约束的多自由度碰撞振动系统在位置控制法则作用下的动力学行为。首先通过系统达到稳定状态前的响应演变，设计了新的控制该类系统达到定义域内预期位置的算法；接着以二自由度碰撞振动系统为例展示了响应演变和系统达到的稳定状态；最后验证了算法的有效性并讨论了其在不同强度随机激励下的稳健性。%A multi-degree-of-freedom vibro-impact system with asymmetric double-side stops under position control law is researched. And evolution of the response with time is presented. An analytical approach base on the Lyapunov stability theory is adjusted to derive a new scheme to control chaotic behavior of a class of multi-degree-of-freedom vibro-impact systems with asymmetric double-side stops. Then,we illustrate our approach with a two-degree-of-freedom system. It is found that the response of the system can be tracked to any desired position in its domain. Furthermore,the robustness of the scheme in the presence of different levels of random noise is demonstrated.