Civil building structures equipped with active or semi-active control devices help mitigate structural damages in the presence of any seismic excitation. These advanced mitigation systems require additional devices such as sensors, actuators, and communication systems that increase issues related to energy consumption, measurement errors, and costs of implementation. In this work, we propose a methodology based on the concept of structural sparsity to induce a sparse pattern in the feedback control system that takes into account prior information on the inherent relationship between the variables of the controller. This methodology can potentially decrease the implementation costs while keeping a suitable performance of the structure when subjected to external disturbances. We show through mathematical analyses and simulation results the benefits of using the proposed methodology in both active and semi-active systems.

中文翻译：

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主动和半主动系统控制设计中的结构稀疏性

配备主动或半主动控制装置的民用建筑结构有助于减轻任何地震激发时的结构损坏。这些先进的缓解系统需要额外的设备，例如传感器、执行器和通信系统，这些设备会增加与能耗、测量错误和实施成本相关的问题。在这项工作中，我们提出了一种基于结构稀疏性概念的方法，以在反馈控制系统中引入稀疏模式，该系统考虑了控制器变量之间固有关系的先验信息。这种方法可以潜在地降低实施成本，同时在受到外部干扰时保持结构的合适性能。