A Modified D-K Iteration Approach for the Decentralized Control of Civil Structures with Parametric Uncertainties

Chunxu Qu, Linsheng Huo and Hongnan Li

Mathematical Problems in Engineering, 2014, vol. 2014, 1-13

Abstract:

This paper presents a robust decentralized controller design method to suppress the vibration of civil structures with the consideration of parametric uncertainties. The decentralized 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 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 controller for the civil structures with parametric uncertainties. The proposed method is validated numerically with a four-story building example.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:302565

DOI: 10.1155/2014/302565

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