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

作者：Qu Chunxu; Huo Linsheng^*; Li Hongnan

来源：Mathematical Problems in Engineering, 2014, 2014: 302565.

DOI：10.1155/2014/302565

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.

• 出版日期2014
• 单位大连理工大学