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Indexed by:期刊论文

Date of Publication:2014-01-01

Journal:MATHEMATICAL PROBLEMS IN ENGINEERING

Included Journals:SCIE、EI、Scopus

Volume:2014

ISSN No.:1024-123X

Abstract:This paper presents a robust decentralized H-infinity controller design method to suppress the vibration of civil structures with the consideration of parametric uncertainties. The decentralized H-infinity controller design is motivated by the double homotopy approach, which approximates the bilinear matrix inequality (BMI) derived from bounded real lemma to linear matrix inequality (LMI), and gradually deforms a centralized controller to a decentralized controller. The centralized H-infinity controller can be designed for the civil structures with the parametric uncertainties through D-K iteration method in mu synthesis, which can consider the diagonal block pattern of the uncertain matrix. This paper combines the double homotopy approach and D-K iteration method to design the robust decentralized H-infinity controller for the civil structures with parametric uncertainties. The proposed method is validated numerically with a four-story building example.