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论文类型：期刊论文

发表时间：2014-03-01

发表刊物：STRUCTURAL CONTROL & HEALTH MONITORING

收录刊物：SCIE、EI、Scopus

卷号：21

期号：3

页面范围：269-281

ISSN号：1545-2255

关键字：structural control; decentralized control; bilinear matrix inequality; double homotopy; time delay; civil structures

摘要：This paper presents a decentralized H controller design for the vibration control of civil structures. The formulation through double homotopy is proposed in discrete time domain and considers feedback time delay. It is well-known that through bounded real lemma, H controller design can be transformed to an optimization problem with bilinear matrix inequality (BMI) constraints. To obtain a decentralized H controller constrained by special block-diagonal patterns on controller matrices, there is generally no off-the-shelf package or numerical algorithm to solve the BMI problem. This paper proposes a double homotopy method to solve the BMI problem in discrete time domain. The method approximates the BMI problem to a series of linear matrix inequality problems along two homotopic paths, and gradually deforms a centralized controller to a decentralized controller. The proposed method is first studied numerically with a six-story building example, and then validated experimentally through shaking table tests of a two-story frame with active mass dampers. Copyright (c) 2013 John Wiley & Sons, Ltd.