A Reduced-Order Controller Considering High-Order Modal Information of High-Rise Buildings for AMD Control System with Time-Delay

Author:

Li Zuo-Hua1,Chen Chao-Jun1ORCID,Teng Jun1ORCID,Hu Wei-Hua1,Xing Hou-Bing2,Wang Ying3ORCID

Affiliation:

1. School of Civil and Environment Engineering, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China

2. China Construction 4th Engineering Division Corp., Ltd., South China Branch, Guangzhou 510660, China

3. Department of Civil and Environmental Engineering, University of Surrey, Guildford GU2 7XH, UK

Abstract

Time-delays of control force calculation, data acquisition, and actuator response will degrade the performance of Active Mass Damper (AMD) control systems. To reduce the influence, model reduction method is used to deal with the original controlled structure. However, during the procedure, the related hierarchy information of small eigenvalues will be directly discorded. As a result, the reduced-order model ignores the information of high-order mode, which will reduce the design accuracy of an AMD control system. In this paper, a new reduced-order controller based on the improved Balanced Truncation (BT) method is designed to reduce the calculation time and to retain the abandoned high-order modal information. It includes high-order natural frequency, damping ratio, and vibration modal information of the original structure. Then, a control gain design method based on Guaranteed Cost Control (GCC) algorithm is presented to eliminate the adverse effects of data acquisition and actuator response time-delays in the design process of the reduced-order controller. To verify its effectiveness, the proposed methodology is applied to a numerical example of a ten-storey frame and an experiment of a single-span four-storey steel frame. Both numerical and experimental results demonstrate that the reduced-order controller with GCC algorithm has an excellent control effect; meanwhile it can compensate time-delays effectively.

Funder

National Key Research and Development Program of China

Publisher

Hindawi Limited

Subject

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

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Compensation Strategy Using an H∞ Control Law for a Multi-Time-Delay Control System;Applied Sciences;2022-03-10

2. Lower order controller design using weighted singular perturbation approximation;TURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCES;2019-09-18

3. Reduced Order Controller Design for Symmetric, Non-Symmetric and Unstable Systems Using Extended Cross-Gramian;Machines;2019-06-29

4. Cross-Gramian Based Lower-Order Controller Design;Proceedings of the 6th International Conference on Control, Mechatronics and Automation - ICCMA 2018;2018

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