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A novel fast model predictive control with actuator saturation for large-scale structures

机译:具有大型执行器饱和的新型快速模型预测控制

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One of the most critical issues faced in the application of active control to engineering structures is actuator saturation. In this paper, a novel fast model predictive control with actuator saturation for large-scale structures is proposed. First, based on the second-order dynamic equation, the explicit expression form of the Newmark-beta method is derived. Then, according to the parametric variational principle, the explicit structure of the model predictive control (MPC) saturation controller is obtained. A linear complementary problem for the proposed fast MPC saturation controller is developed, replacing the quadratic programming problem for the original MPC saturation controller. The optimal control input can be achieved by solving one linear complementarity problem and one transient analysis problem. Particularly, the physical meaning of the explicit expression form of the Newmark-beta method is discovered and applied for increasing computational efficiency and saving memory. Finally, numerical simulations of a plane adjacent frame building subjected to earthquake ground motion demonstrate that the proposed fast MPC saturation controller is highly efficient and can be applied under a large step length, especially for large-scale structural dynamic control problems. (C) 2017 Elsevier Ltd. All rights reserved.
机译:主动控制在工程结构中的应用面临的最关键问题之一是执行器饱和。本文提出了一种新颖的具有执行器饱和的大型模型快速模型预测控制。首先,基于二阶动力学方程,推导Newmark-beta方法的显式形式。然后,根据参数变分原理,获得了模型预测控制(MPC)饱和控制器的明确结构。开发了针对所提议的快速MPC饱和控制器的线性互补问题,从而替代了原始MPC饱和控制器的二次编程问题。通过解决一个线性互补问题和一个瞬态分析问题,可以实现最佳控制输入。特别是,发现了Newmark-beta方法的显式表达形式的物理含义,并将其用于提高计算效率和节省内存。最后,对某平面相邻框架建筑物进行地震地震动的数值模拟表明,所提出的快速MPC饱和控制器是高效的,可以在较大的步长下应用,特别是对于大型结构动力控制问题。 (C)2017 Elsevier Ltd.保留所有权利。

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