Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-03-01

Journal: STRUCTURAL CONTROL & HEALTH MONITORING

Included Journals: Scopus、EI、SCIE

Volume: 21

Issue: 3

Page Number: 269-281

ISSN: 1545-2255

Key Words: structural control; decentralized control; bilinear matrix inequality; double homotopy; time delay; civil structures

Abstract: 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.