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Indexed by:期刊论文
Date of Publication:2017-07-15
Journal:COMPUTERS & STRUCTURES
Included Journals:SCIE、EI、Scopus
Volume:187
Page Number:35-49
ISSN No.:0045-7949
Key Words:Large-scale structures; Actuator saturation; Fast model predictive control; Explicit expression form; Quadratic programming; Linear complementary
Abstract: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.