Faculty Early Development (CAREER) Program-Optimal Output Feedback Control at Discrete Locations for Civil Structures

9703020 Abdullah结构的动态响应可以产生从不舒服到不安全的建筑物居住者的情况。近年来，控制理论和技术被广泛应用于降低高层土建结构的动力响应。大多数最优控制算法涉及全状态反馈控制。这种类型的控制要求对整个结构的速度和位移有很好的估计。然而，输出反馈控制有几个重要的优点：它需要较少的计算量，并且具有被动系统的鲁棒性。在CAREER奖下进行的研究中，将制定控制算法，以优化反馈增益和柔性连续和离散结构（如高层建筑）的控制器放置。高层建筑尤其令人感兴趣，因为控制装置必须放置在地板上。这些算法的基本基础是计算性能函数相对于增益和放置矩阵的梯度。对于柔性连续结构中离散位置控制器的优化布置，采用混合整数方法同时优化布置和增益。该算法的有效性将被证明在随机风荷载的频域和确定性地震荷载的时域。该职业奖的教育部分将包括创建基于网络的模块，用于研究生和本科生课程，以演示结构动力学和土木工程控制装置的概念。＊＊＊

9703020 Abdullah The dynamic responses of structures can produce situations that can range from uncomfortable to unsafe for the building occupants. In recent years, control theories and technologies have been used to reduce the dynamic responses of tall civil structures. Most optimal control algorithms involve full state feedback control. This type of control requires good estimates of the velocity and displacement throughout the structure. However, there are several important advantages of output feedback control: it requires less computational effort and has the robustness of a passive system. In the research conducted under this CAREER award, control algorithms will be formulated for the optimization of feedback gains and controller placement for flexible continuous and discrete structures, such as tall buildings. Tall buildings are of particular interest because the control devices must be placed at floor level. The fundamental basis for these algorithms is the calculation of the gradients of the performance function with respect to the gain and placement matrices. For the optimal placement of controllers at discrete locations in flexible continuous structures, a mixed-integer method will be used to optimize the placement and gains simultaneously. The effectiveness of the algorithm will be demonstrated for stochastic wind loads in the frequency domain and for deterministic earthquake loads in the time domain. The educational component of this CAREER award will involve creating Web-based modules for use in graduate and undergraduate courses to demonstrate the concepts of structural dynamics and civil engineering control devices. ***