Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation | Zendy

Xiaofang Kang | Zendy; Jian Wu | Zendy; Yewei Zhang | Zendy; Guoliang Liu | Zendy; Suhui Zhang | Zendy; X C Tao | Zendy; Guanghui Xia | Zendy; Dawei Man | Zendy; Qinghu Xu | Zendy

Open Access

Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation

Author(s) -

Xiaofang Kang,

Jian Wu,

Yewei Zhang,

Guoliang Liu,

Suhui Zhang,

X C Tao,

Guanghui Xia,

Dawei Man,

Qinghu Xu

Publication year - 2021

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2021/9115938

Subject(s) - benchmark (surveying) , control theory (sociology) , decentralised system , control (management) , flexibility (engineering) , controller (irrigation) , vibration control , engineering , genetic algorithm , vibration , optimal control , computer science , control engineering , mathematical optimization , mathematics , statistics , physics , geodesy , quantum mechanics , artificial intelligence , agronomy , biology , geography

A decentralized control strategy can effectively solve the control problem of the large-scale time delayed structures. In this paper, combining the overlapping decentralized control method, linear matrix inequality (LMI) method, and H∞ control algorithm, overlapping decentralized H∞ control approach of the time delayed structures has been established. The feedback gain matrixes of all subsystems are obtained by this method based on genetic algorithm optimization tools and the specific goal of optimization control. The whole vibration control system of the time delayed structures is divided into a series of overlapping subsystems by overlapping decentralized control strategy. The feedback gain matrixes of each subsystem can be obtained by using H∞ control algorithm to calculate each subsystem. The vibration control of a twenty layers’ antiseismic steel structure Benchmark model was analyzed with the numerical method. The results show that the proposed method can be applied to control system with time delay. The overlapping decentralized control strategies acquire the similar control effects with that of the centralized control strategy. Moreover, the flexibility of the controller design has been enhanced by using overlapping decentralized control strategies.

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