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

• Published in: Computers & structures Vol. 187; pp. 35 - 49
• Main Authors: Peng, Haijun, Li, Fei, Zhang, Sheng, Chen, Biaosong
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 15.07.2017; Elsevier BV
• Subjects: Active control; Actuator saturation; Computer memory; Computer simulation; Computing time; Dynamic control; Earthquake construction; Earthquakes; Explicit expression form; Fast model predictive control; Ground motion; Large-scale structures; Linear complementary; Linear equations; Mathematical models; Numerical analysis; Optimal control; Predictive control; Quadratic programming; Saturation; Scale (ratio); Seismic engineering; Seismic response; Studies; Transient analysis; Fast model predictive control; Linear complementary; Quadratic programming; Explicit expression form; Actuator saturation; Large-scale structures
• DOI: 10.1016/j.compstruc.2017.03.014
• ISSN: 0045-7949

•A novel fast model predictive control with actuator saturation for large-scale structures is proposed.•The explicit structure of the MPC saturation controller is obtained.•The optimal control can be achieved by one linear complementarity problem and one transient analysis.•The proposed fast MPC saturation controller is highly efficient and can be applied under a large step-length. 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-β 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-β 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.