A Modified D-K Iteration Approach for the Decentralized ℋ∞ Control of Civil Structures with Parametric Uncertainties. (13th March 2014)

• Record Type: Journal Article
• Authors: Qu, Chunxu; Huo, Linsheng; Li, Hongnan
• Other Names: Karimi Hamid Reza Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-03-13
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/302565
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper presents a robust decentralized ℋ ∞ controller design method to suppress the vibration of civil structures with the consideration of parametric uncertainties. The decentralized ℋ ∞ 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 ∞ controller can be designed for the civil structures with the parametric uncertainties through D-K iteration method in μ 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 ∞ controller for the civil structures with parametric uncertainties. The proposed method is validated numerically with a four-story building example.