scholarly journals Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Haijun Peng ◽  
Qiang Gao ◽  
Zhigang Wu ◽  
Wanxie Zhong
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Dynamic Systems ◽  
Large Scale ◽  
Integration Method ◽  
Control Method ◽  
Matrix Exponential ◽  
Precise Integration ◽  
Structural Dynamic ◽  
The Matrix

A fast and accurate model predictive control method is presented for dynamic systems representing large-scale structures. The fast model predictive control formulation is based on highly efficient computations of the state transition matrix, that is, the matrix exponential, using an improved precise integration method. The enhanced efficiency for model predictive control is achieved by exploiting the sparse structure of the matrix exponential at each discrete time step. Accuracy is maintained using the precise integration method. Compared with the general model predictive control method, the reduced central processing unit (CPU) time required by the fast model predictive control scheme can result in a shorter control update interval and a lower online computational burden. Therefore, the proposed method is more efficient for large-scale structural dynamic systems.

scholarly journals Application of Model Predictive Control for Large-Scale Inverted Siphon in Water Distribution System in the Case of Emergency Operation

Water ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 2733
Author(s):  
Zheli Zhu ◽  
Guanghua Guan ◽  
Zhonghao Mao ◽  
Kang Wang ◽  
Shixiang Gu ◽  
...  
Keyword(s):  
Model Predictive Control ◽  
Linear Model ◽  
Predictive Control ◽  
Distribution System ◽  
Large Scale ◽  
Control Method ◽  
Water Release ◽  
Emergency Control ◽  
Inverted Siphon ◽  
Combination System

The emergency control of Menglou~Qifang inverted siphon, which is about 72 km long, is the key to the safety of the Northern Hubei Water Transfer Project. Given the complicated layout of this project, traditional emergency control method has been challenged with the fast hydraulic transient characteristics of pressurized flow. This paper describes the application of model predictive control (MPC), a popular automatic control algorithm advanced in explicitly accounting for various constraints and optimizing control operation, in emergency condition. For the fast prediction to the pipe-canal combination system, a linear model for large-scale inverted siphon proposed by the latest research and the integrator-delay (ID) model for open canals are used. Simulation results show that the proposed MPC algorithm has promising performance on guaranteeing the safety of the project when there are sudden flow obstruction incidents of varying degrees downstream. Compared with control groups, the peak pressure can be reduced by 17.2 m by MPC under the most critical scenario, albeit with more complicated gates operations and more water release (up to 9.75 × 104 m3). Based on the linear model for long inverted siphon, this work highlights the applicability of MPC in the emergency control of large-scale pipe-canal combination system.

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