Implementation of efficient vibration control schemes for seismically excited structures is becoming more and more important in recent years. In this study, the influence of different control schemes on the dynamic performance of a frame structure excited by El Centro wave, with an emphasis on reaching law based control strategies, is examined. Reaching law refers to the reachable problem and criteria for the sliding state of a control system. Three reaching laws are designed to present different sliding mode control strategies by incorporating a state space model that describes structural dynamic characteristics of a frame structure. Both intact and damaged structures are studied by using the aforementioned control strategies. The influence of different structural damage extents, control locations and reaching law based control methods are further investigated. The results show that the structure can be well controlled using the sliding mode strategy when the induced structural damage extent does not exceed the standard percentage for considering the structure was damaged, which is 20% reduction in structure stiffness, as reported in the literature. The control effectiveness is more satisfactory if the control location is the same as the direction of external excitation. Furthermore, to study the chattering phenomenon of the sliding mode control method, approximation and detail components extracted from the phase plots of the sliding mode control system are compared via wavelet transform at different scales. The results show that for the same type of control law, the system behaves with similar chattering phenomenon.

近年来，为地震激发结构实施有效的振动控制方案变得越来越重要。在这项研究中，研究了不同控制方案对由 El Centro 波激发的框架结构的动态性能的影响，重点是达到基于规律的控制策略。可达律是指控制系统滑动状态的可达问题和准则。通过结合描述框架结构的结构动态特性的状态空间模型，设计了三个到达定律来呈现不同的滑模控制策略。通过使用上述控制策略研究完整和损坏的结构。不同结构破坏程度的影响，进一步研究了控制位置和基于到达律的控制方法。结果表明，当诱导结构损坏程度不超过考虑结构损坏的标准百分比时，使用滑模策略可以很好地控制结构，即结构刚度降低 20%，如文献报道。如果控制位置与外部激励方向相同，则控制效果更令人满意。此外，为了研究滑模控制方法的颤振现象，通过小波变换在不同尺度下比较从滑模控制系统的相位图中提取的近似分量和细节分量。结果表明，对于相同类型的控制律，系统表现出类似的颤振现象。