Explicit expression-based practical model predictive control implementation for large-scale structures with multi-input delays

Abstract

In this paper, two practical model predictive control (MPC) implementation algorithms with multi-input delay (NFMPCMID1 and NFMPCMID2) are developed in discrete-time formulation for vibration control of large-scale structures. By introducing a particular augmented state vector, the controlled dynamic equation with multi-input delay is transformed into the standard form without any explicit time delay. Because of no approximation for multi-input delay involved, the system performance and stability are easily guaranteed. In order to solve the computation efficiency and memory requirement for large-scale structure, a novel explicit expression form of Newmark-β method is derived, from which the future states can be easily predicted without computing matrix exponential and its integration. By applying this explicit expression form into MPC, the control input of NFMPCMID1 method can be computed by some matrix–matrix multiplications, and also the control input of NFMPCMID2 method can be computed just by two off-line transient analyses and one on-line transient analysis at every sampling instant on the structure. For no computation of matrix exponential and its integration in NFMPCMID1 and NFMPCMID2 methods, the off-line computation efficiency is greatly improved, and the memory requirement is greatly reduced, especially for the NFMPCMID2 method. In additional, due to the small amount of on-line computation, the on-line computation efficiency is also guaranteed. At last, the stability, feasibility and efficiency of the proposed methods are verified by several typical numerical examples.

Robust structural control of a real high‐rise tower equipped with a hybrid mass damper

“…In general, various examples of MPC applications can be found in the literature specific to civil engineering control systems, demonstrating the effectiveness of the actual scheme. [28][29][30][31][32][33][34][35][36][37][38][39] To the authors' best knowledge, the RMPC has not been applied for the vibration mitigation of a real high-rise building application before. For this reason, the effectiveness of the RMPC will be demonstrated within this study, by developing two controllers; one designed for the best possible response mitigation performance, and one designed for reduced power consumption.…”

Model predictive control optimisation using the metaheuristic optimisation for blood pressure control

“…In recent years, with the development of intelligent systems to solve many complex problems, patient monitoring and medical data analysis have been developed using predictive systems‐based computer‐aided systems and impeller optimisation methods and many other intelligent techniques [ 5 ]. In this regard, due to uncertainty in various medical issues, model predictive control (MPC) is a powerful tool for intelligent decision‐making systems in the medical field and has an important role in medicine [ 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ]. The combination of predictive controllers and intelligent methods is a very efficient and powerful way to control systems with limited inputs and outputs.…”

Control Law and Actuator Capacity Effect on the Dynamic Performance of a Hybrid Mass Damper; The Case of Rottweil Tower

“…Previously, the MPC algorithm was investigated by Mei et al [3,4] for the control of the famous 76-storey benchmark building. Moreover, applications of the MPC on different control systems were practiced by Mei et al [5,6] for the case of a single and a three-storey structure, by Chen et al [7] for a tenstorey structure, explaining additionally a more practical implementation of the algorithm, by Peng et al [8] for two adjacent 20-storey buildings and by Lopez et al [9] for a six-storey experimental structure.…”