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

Author:

Kang Xiaofang123ORCID,Wu Jian1,Zhang Yewei1,Liu Guoliang1,Zhang Suhui1,Tao Xueting4ORCID,Xia Guanghui123ORCID,Man Dawei123ORCID,Xu Qinghu123

Affiliation:

1. School of Civil Engineering, Anhui Jianzhu University, Hefei 230601, China

2. BIM Engineering Center of Anhui Province, Hefei 230601, China

3. Prefabricated Building Research Institute of Anhui Province, Hefei 230601, China

4. Nanjing Urban Construction Secondary Specialized School, Nanjing 210018, China

Abstract

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.

Funder

Natural Science Research Project of Higher Education Institutions in Anhui Province

Publisher

Hindawi Limited

Subject

Mechanical Engineering,Mechanics of Materials,Geotechnical Engineering and Engineering Geology,Condensed Matter Physics,Civil and Structural Engineering

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